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Examples and Benchmarks

Many examples are provided for various types of problems that the project currently addresses. More examples exploring new functionalities will be added in the future. To verify the accuracy of myfempy, several Benchmarks Reports (e.g. analytics, ansys, etc.) are available below.

But first, follow these steps:

Install myfempy

  1. Clone/ Download the main code [latest version] from github/myfempy/main

  2. Unzip the pack in your preferred location

  3. Install the myfempy in a isolated Python environments (with virtualenv or conda)

  4. Change to myfempy/docs/gallery folder

  5. Run any file example

Run this Commands on Terminal (win, linux, ...)

>> git clone https://github.com/avgcampos/myfempy   # install git is needed before this command

>> python -m pip install --upgrade pip               # update pip

>> pip install .                                     # install myfempy-main

>> cd myfempy/examples/gallery                       # change to the examples gallery directory

>> python run_first_test.py                           # run any file to check installation

Example List

Many Examples are available to download here.

Static Linear Analysis

run_first_test.py

You can use this code to first test required to check myfempy install Relatório de Benchmark (PT-BR PDF)

Relatório de Benchmark (PT-BR PDF)

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"""
==============================================================================
MYFEMPY example runscript
==============================================================================
@File    :   run_fist_test.py
@Date    :   2026/02/03
@Author  :   Antonio V. G. Campos
@Description : This example can be used as an initial analysis to test the complete
installation of the myfempy code. A report (PT-BR) is available to verify the program's
compatibility. See the user guide or _help_ for more information about commands.

Usage: >>> python run_fist_test.py
"""

# environ['OMP_NUM_THREADS'] = '1'        #win

# ===============================================================================
# imports, set SteadyStateLinear as a Solver or SteadyStateLinearIterative, see help
# ===============================================================================
from myfempy import newAnalysis
from myfempy import SteadyStateLinear, SteadyStateLinearIterative
import numpy as np

# ===============================================================================
# FEA API
# ===============================================================================
fea = newAnalysis(SteadyStateLinear)

# ===============================================================================
# set material prop.
# ===============================================================================
mat = {
    "NAME": "aco",
    "VXY": 0.30,
    "EXX": 200E3,       # N/mm^2 --> MPa
    "GXY": 0.5*200E3,
    "RHO": 7.85E-06,    # kg/mm^2
    }

# ===============================================================================
# set geometry prop.
# ===============================================================================
geo = {
    "NAME": "sec",
    "THICKN": 40,
    }

# ===============================================================================
# set gmsh config.
# ===============================================================================
# MODEL SET
LX = 1200
LY = 80
esize = 10
points = [
    [0, 0, 0],
    [LX, 0, 0],
    [LX, LY, 0],
    [0, LY, 0]
]

lines = [[1, 2],
         [2, 3],
         [3, 4],
         [4, 1],
         ]

plane = [[1, 2, 3, 4]]


# ===============================================================================
# set modeldata
# ===============================================================================
modeldata = {
   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        # "meshimport": 'object_dir',
        'pointlist': points,
        'linelist': lines,
        'planelist': plane,
        # 'arc': arcs,
        'meshconfig': {
            'mesh': 'hexa8',   #quad4 tria3
            'sizeelement': 2*esize,
            'extrude': 40,
            'meshmap': {'on': True,
                        'edge': 'all', #[[1,3], [2,4]], #'all'
                        # "numbernodes": [20, 10],
            }
            }
    },

    "ELEMENT": {
        'TYPE': 'structsolid',
        'SHAPE': 'hexa8',
        # 'INTGAUSS': 8,
    },

    "MATERIAL": {
        "MAT": 'solidelastic',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'solid',
        # "SECTION": 'rectangle',
        "PROPGEO": [geo],
    },
}

# ===============================================================================
# pass modeldata to Model API
# ===============================================================================
fea.Model(modeldata)

# ===============================================================================
# set bound. cond.
# ===============================================================================
bc = {
    'TYPE': 'fixed',  
    'DOF': 'full',
    'DIR': 'plane',
    'TAG': 5,
    }

# ===============================================================================
# set load
# ===============================================================================
fr = {
    'TYPE': 'forcesurf',
    'DOF': 'fy',
    'DIR': 'plane',
    'TAG': 3,
    'VAL': [-1.5625],
    }

physicdata = {
    "PHYSIC": {"DOMAIN": "structural", # 'fluid' 'thermal'; "COUPLING": 'fsi'
               "LOAD": [fr],
               "BOUNDCOND": [bc],
    },
}

# ===============================================================================
# pass physicdata to Physic API
# ===============================================================================
fea.Physic(physicdata)

# ===============================================================================
# preview config.
# ===============================================================================
previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 5, 'savepng': True, 'lines': False,
                        #  'plottags': {'plane': True},
                        #  'cs': True,
                         },
              }
fea.PreviewAnalysis(previewset)

# ===============================================================================
# SOLVER
# ===============================================================================
solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                        'start': 0,
                        'end': 1,
                        'step': 1},
             'SYMM':False,
             'MP':False,
            }
solverdata = fea.Solve(solverset)

# ===============================================================================
# post process
# ===============================================================================
postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                "PLOTSET": {'show': True, 'filename': 'output', 'savepng': True},
                # "TRACKER": {'point': {'x': 0, 'y': 0, 'z': 0, 'dof':1}},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}}, #'coord': True
            }
postprocdata = fea.PostProcess(postprocset)

print(np.max(np.abs(solverdata['solution']['U'])))

static_linear_beam3d_LoganBook.py

Relatório de Benchmark (PT-BR PDF)

Relatório de Benchmark (PT-BR PDF)

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from myfempy import newAnalysis
from myfempy import SteadyStateLinearIterative

from time import time

fea = newAnalysis(SteadyStateLinearIterative)
# MODEL SET
mat = {
    "NAME": "mat",
    "EXX": 30000,       # N/mm^2 --> MPa
    "GXY": 10000,
    }

geo = {
    "NAME": "secao1",
    "AREACS": 10,
    "INERYY": 100,
    "INERZZ": 100,
    "INERXX": 50,
    # "CG":{
    #     "y_max":1,
    #     "y_min":-1,
    #     "z_max":1,
    #     "z_min":-1,
    #     "r_max":1
    # },
    }

# gmsh config
points = [
    [100, 0, 100],
    [100, 100, 100],
    [0, 100, 100],
    [100, 100, 0],
]

lines = [[2, 1],
         [3, 2],
         [2, 4],
         ]

modeldata = {
   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        'pointlist': points,
        'linelist': lines,
        'meshconfig': {
            'mesh': 'line2',
            "numbernodes": 2,
            }
    },

    "ELEMENT": {
        'TYPE': 'structbeam',
        'SHAPE': 'line2',
        # 'INTGAUSS': 2,
    },

    "MATERIAL": {
        "MAT": 'uniaxialstress',
        "TYPE": 'isotropic',
        "PROPMAT": [mat, mat, mat],
    },

    "GEOMETRY": {
        "GEO": 'frame',
        "SECTION": 'userdefined',
        "PROPGEO": [geo, geo, geo],
    },
}
fea.Model(modeldata)

bc1 = {
    'TYPE': 'fixed',  
    'DOF': 'full',
    'DIR': 'point',
    'TAG': 1,
    }

bc2 = {
    'TYPE': 'fixed',  
    'DOF': 'full',
    'DIR': 'point',
    'TAG': 3,
    }

bc3 = {
    'TYPE': 'fixed',  
    'DOF': 'full',
    'DIR': 'point',
    'TAG': 4,
    }

fy = {
    'TYPE': 'forcenode',
    'DOF': 'fy',
    'DIR': 'point',
    'TAG': 2,
    'VAL': [-50],
    }

tx = {
    'TYPE': 'forcenode',
    'DOF': 'tx',
    'DIR': 'point',
    'TAG': 2,
    'VAL': [-1000],
    }

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
               "LOAD": [fy, tx],
               "BOUNDCOND": [bc1, bc2, bc3],
    },
}
fea.Physic(physicdata)

previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 15, 'savepng': True, 'lines': True,
                         'plottags': {'point': True},
                        # 'cs': True,
                         },
            #   'LABELS': {'show': True, 'lines': True, 'scale': 1},
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                        'start': 0,
                        'end': 1,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)
print(solverdata['solution']['U'])

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                "PLOTSET": {'show': True, 'filename': 'output', 'savepng': True},
                # "TRACKER": {'point': {'x': 0, 'y': 0, 'z': 0, 'dof':1}},
                "REPORT": {'log': True, 'get':{
                        'nelem': True,
                        'nnode': True,
                        'inci': True,
                        'coord':True,
                        'tabmat':True,
                        'tabgeo':True,
                        'boundcond_list':True,
                        'forces_list':True,
                    },
            }}
postprocdata = fea.PostProcess(postprocset)

myfempy_nafems_le1.py

Relatório de Benchmark (PT-BR PDF) Extra files download

Relatório de Benchmark (PT-BR PDF)

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import sys
# setting path
sys.path.append('../myfempy')

from myfempy import newAnalysis
from myfempy import SteadyStateLinear
import numpy as np

# ===============================================================================
#                                   FEA
# ===============================================================================
fea = newAnalysis(SteadyStateLinear, 'sim')

mat = {
    "NAME": "aco",
    "VXY": 0.3,
    "EXX": 210E3,       # N/mm^2 --> MPa
    }

geo = {
    "NAME": "espessura",
    "THICKN": 100,
    }

modeldata = {
   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        "meshimport": {'object': 'nafems_le1_mesh_quad4_fine'}, 
        'meshconfig': {
            'mesh': 'quad4',
            }
    },

    "ELEMENT": {
        'TYPE': 'structplane',
        'SHAPE': 'quad4',
        'INTGAUSS': 2,
    },

    "MATERIAL": {
        "MAT": 'planestress',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'thickness',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

press = {
    'TYPE': 'forceedge',
    'DOF': 'pressure',
    'DIR': 'line',
    'TAG': 2,
    'VAL': [10],
    }

bc1 = {
    'TYPE': 'fixed',  
    'DOF': 'ux',
    'DIR': 'line',
    'TAG': 1,
    }


bc2 = {
    'TYPE': 'fixed',
    'DOF': 'uy',
    'DIR': 'line',
    'TAG': 3,
    }


physicdata = {
    "PHYSIC": {"DOMAIN": "structural", # 'fluid' 'thermal'; "COUPLING": 'fsi'
               "LOAD": [press],
               "BOUNDCOND": [bc1, bc2],
    },
}
fea.Physic(physicdata)

previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 4, 'savepng': True, 'lines': False,
                         'plottags': {'line': True}
                         },
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                        'start': 0,
                        'end': 1,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                "PLOTSET": {'show': True, 'filename': 'output', 'savepng': True},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},
            }
postprocdata = fea.PostProcess(postprocset)

STR_YY_D = max(postprocdata['STRESS_YY'])
print('STRESS_YY_D ',STR_YY_D)

STR_YY_D_REF = 92.7
erro = (abs(STR_YY_D_REF - STR_YY_D)/abs(STR_YY_D_REF))*100
print('ERRO [%] ',erro)

tapered_bar.py

Relatório de Benchmark (PT-BR PDF)

Relatório de Benchmark (PT-BR PDF)

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from myfempy import newAnalysis
from myfempy import SteadyStateLinearIterative, SteadyStateLinear
from myfempy.io.iocsv import writer2csv

import numpy as np
# ===============================================================================
#                                   FEA
# ===============================================================================
fea = newAnalysis(SteadyStateLinearIterative)
mat = {
    "NAME": "mat",
    "VXY": 0.3,
    "EXX": 1000,       # N/mm^2 --> MPa
    }

geo = {
    "NAME": "geo",
    "THICKN": 10.0,
    # "DIM": [b, h, t, d],
    }

# gmsh config
points = [
    [0, 0, 0],    # ponto A
    [64, 0, 0],   # ponto B
    [64, 8, 0],   # ponto C   
    [0, 24, 0],   # ponto D
]


lines = [[1, 2],  # linha 1
         [2, 3],  # linha 2
         [3, 4], # linha 3
         [4, 1], # linha 4
         ]

plane = [[1, 2, 3, 4],
         ]

NFINE = 2

modeldata = {

   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'fem_tbar',
        'pointlist': points,
        'linelist': lines,
        'planelist': plane,
        'meshconfig': {
            'mesh': 'quad4',   #quad4
            'sizeelement': 1,
            'meshmap': {'on': True,
                        'edge': [[2, 4], [1, 3]], #'all'
                        "numbernodes": [NFINE*2, NFINE*4],
            }
            }
    },

    "ELEMENT": {
        'TYPE': 'structplane',
        'SHAPE': 'quad4',
        'INTGAUSS': 1,
    },

    "MATERIAL": {
        "MAT": 'planestress',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'thickness',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

force = {
    'TYPE': 'forceedge',
    'DOF': 'fx',
    'DIR': 'line',
    'TAG': 2,
    'VAL': [0.625],
    }

bc_symm_x = {
    'TYPE': 'fixed',
    'DOF': 'uy',
    'DIR': 'line',
    'TAG': 1,
    }

bc_fixed_wall = {
    'TYPE': 'fixed',
    'DOF': 'full',
    'DIR': 'line',
    'TAG': 4,
    }

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
               "LOAD": [force],
               "BOUNDCOND": [bc_symm_x, bc_fixed_wall],
    },
    }
fea.Physic(physicdata)

loadaply = fea.getLoadApply()
# print(loadaply)
# print(fea.getLoadArray(loadaply))
print('forca total [N]', np.sum(loadaply[:,2]))

previewset = {'RENDER': {'filename': 'fem_tbar', 'show': True, 'scale': 3, 'savepng': True, 'lines': False,
                         'plottags': {
                             'line': True
                            # 'point': True
                             }
                         },
            #   'LABELS': {'show': True, 'lines': True, 'scale': 1},
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                        'start': 0,
                        'end': 1,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)

print(np.max(np.abs(solverdata['solution']['U'])))

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                "PLOTSET": {'show': True, 'filename': 'fem_tbar', 'savepng': True},
                # "PLOT": {'data': {'x': 0, 'y': 0, 'z': 0, 'dof':1}},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},
            }
postprocdata = fea.PostProcess(postprocset)

# ===============================================================================
#                              RESULTADO ANALITICO
# ===============================================================================
# Parâmetros (substitua pelos valores reais)
F = 100.0    # força
l = 64.0     # comprimento
A0 = 16*10   # área inicial
E = 1000     # módulo de elasticidade

# Definição da função ux(x)
def ux(xn):
    return -((F * l) / (2 * A0 * E)) * np.log(1 - ((2 * xn) / (3 * l)))

# Intervalo de valores de x
x_vals = np.linspace(0, l, 200)
ux_vals = ux(x_vals)
print(np.max(np.abs(ux_vals)))

data = [x_vals, ux_vals]
label = ['x', 'u_x(x)']

# comando interno de io do myfempy para salvar arquivos CSV .txt para visualizar no ParaView
writer2csv('out/resultado_analitico.txt', data, label)

stress_concentration.py

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Relatório de Benchmark (PT-BR PDF)

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from myfempy import newAnalysis
from myfempy import SteadyStateLinearIterative
from myfempy.io.iocsv import writer2csv

import numpy as np
# ===============================================================================
#                                   FEA
# ===============================================================================
fea = newAnalysis(SteadyStateLinearIterative) 

mat = {
    "NAME": "mat",
    "VXY": 0.3,
    "EXX": 1000,
    }

geo = {
    "NAME": "geo",
    "THICKN": 10.0,
    }


# gmsh config
points = [
    [0, 0, 0],      # ponto 0
    [8, 0, 0],      # ponto A
    [128, 0, 0],    # ponto B
    [128, 32, 0],   # ponto C
    [0, 32, 0],     # ponto D
    [0, 8, 0],      # ponto E
]


lines = [[2, 3],        # line 1
         [3, 4],        # line 2
         [4, 5],        # line 3
         [5, 6],        # line 4
         ]

arcs = [
    [2, 1, 6],          # arco line 5
    ]  

plane = [
    [1, 2, 3, 4, 5],    # plano 1
        ]

NFINE = np.arange(20, 0, -1)
STR_XX_E = np.ones_like(NFINE)
NNODES = np.ones_like(NFINE)

for delem in range(len(NFINE)):

    modeldata = {

    "MESH": {
            'TYPE': 'gmsh',
            'filename': 'stress_conc',
            'pointlist': points,
            'linelist': lines,
            'planelist': plane,
            'arc': arcs,  
            'meshconfig': {
                'mesh': 'tria3', 
                'sizeelement': NFINE[delem],
                'meshmap': {'on': True,
                            'edge': 'all', #[[5]], #'all'
                            # "numbernodes": [50],
                }
                }
        },

        "ELEMENT": {
            'TYPE': 'structplane',
            'SHAPE': 'tria3',
            # 'INTGAUSS': 4,
        },

        "MATERIAL": {
            "MAT": 'planestress',
            "TYPE": 'isotropic',
            "PROPMAT": [mat],
        },

        "GEOMETRY": {
            "GEO": 'thickness',
            "PROPGEO": [geo],
        },
    }
    fea.Model(modeldata)

    coord = fea.getCoord()

    force = {
        'TYPE': 'forceedge',
        'DOF': 'fx',
        'DIR': 'line',
        'TAG': 2,
        'VAL': [75]
    }

    bc_left = {
        'TYPE': 'fixed',
        'DOF': 'ux',
        'DIR': 'line',
        'TAG': 4,
    }

    bc_bottom = {
        'TYPE': 'fixed',
        'DOF': 'uy',
        'DIR': 'line',
        'TAG': 1
    }

    physicdata = {
        "PHYSIC": {"DOMAIN": "structural",
                "LOAD": [force],
                "BOUNDCOND": [bc_left, bc_bottom],
        },
        }
    fea.Physic(physicdata)

    # loadaply = fea.getLoadApply()
    # # print(loadaply)
    # # # print(fea.getLoadArray(loadaply))
    # print('forca total [N]', np.sum(loadaply[:,2]))

    # previewset = {'RENDER': {'filename': 'stress_conc', 'show': True, 'scale': 4, 'savepng': True, 'lines': False,
    #                          'plottags': {'line': True}
    #                          },
    #             #   'LABELS': {'show': True, 'lines': True, 'scale': 1},
    #               }
    # fea.PreviewAnalysis(previewset)

    # #-------------------------------- SOLVER -------------------------------------#
    solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                            'start': 0,
                            'end': 1,
                            'step': 1},
                'SYMM':True,
                #  'MP':True,
                }
    solverdata = fea.Solve(solverset)

    postprocset = {"SOLVERDATA": solverdata,
                    "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                    "PLOTSET": {'show': True, 'filename': 'stress_conc', 'savepng': True},
                    # "TRACKER": {'point': {'x': 0, 'y': 0, 'z': 0, 'dof':1}},
                    "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},
                }
    postprocdata = fea.PostProcess(postprocset)

    STR_XX_E[delem] = max(postprocdata['STRESS_XX'])
    NNODES[delem] = len(coord)

STR_XX_E_TEORICA = 242*np.ones_like(STR_XX_E)

data = [NNODES, STR_XX_E_TEORICA]
label = ['MESH', 'STR_XX_E_TEORICA']

# comando interno de io do myfempy para salvar arquivos CSV .txt para visualizar no ParaView
writer2csv('out/resultado_analitico.txt', data, label)  

data = [NNODES, STR_XX_E]
label = ['MESH', 'STR_XX_E']

# comando interno de io do myfempy para salvar arquivos CSV .txt para visualizar no ParaView
writer2csv('out/resultado_fem.txt', data, label)

patchtest_quad4.py

Relatório de Benchmark (PT-BR PDF)

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from myfempy import newAnalysis
from myfempy import SteadyStateLinear

fea = newAnalysis(SteadyStateLinear)

mat = {
    'NAME': 'material',
    'EXX': 1000,
    'VXX': 0.3
}

geo = {
    'NAME':'geo',
    'THICKN': 0.1,
}

nodes = [
    [1,     0.00,   0.00,   0.00],
    [2,     2.00,   0.00,   0.00],
    [3,     2.00,   3.00,   0.00],
    [4,     0.00,   2.00,   0.00],
    [5,     0.40,   0.40,   0.00],
    [6,     1.40,   0.60,   0.00],
    [7,     1.50,   2.00,   0.00],
    [8,     0.30,   1.60,   0.00],    
        ]

conec = [
    [1, 1, 1, 1, 2, 6, 5],
    [2, 1, 1, 2, 3, 7, 6],
    [3, 1, 1, 3, 4, 8, 7],
    [4, 1, 1, 1, 5, 8, 4],
    [5, 1, 1, 5, 6, 7, 8],
        ]

modeldata = {
    'MESH':{
        'TYPE':'manual',
        'COORD':nodes,
        'INCI':conec
    },

    'ELEMENT':{
        'TYPE':'structplane',
        'SHAPE':'quad4',
        'INTGAUSS':2,
    },

    'MATERIAL':{
        'MAT':'planestress',
        'TYPE':'isotropic',
        'PROPMAT':[mat]
    },

    'GEOMETRY':{
        'GEO':'thickness',
        'PROPGEO':[geo]
    }
}

fea.Model(modeldata)


previewset = {
    'RENDER':{
        'filename':'patchtest',
        'show':True,
        'scale':5,
        'savepng':True,
        'lines':True
    }
}

bcfix = {
    'TYPE':'fixed',
    'DOF':'full',
    'DIR':'node',
    'LOC':{'x':0, 'y':0, 'z':0},
}

def displ_patch_test(x,y):
    ux = 0.002*x
    uy = -0.0006*y
    return ux, uy

bcnh_node1_ux = {
    'TYPE':'displ',
    'DOF':'ux',
    'DIR':'node',
    'LOC':{'x':0.0, 'y':0, 'z':0},
    'VAL':[displ_patch_test(0.0,0.00)[0]]
} 

bcnh_node1_uy = {
    'TYPE':'displ',
    'DOF':'uy',
    'DIR':'node',
    'LOC':{'x':0.0, 'y':0, 'z':0},
    'VAL':[displ_patch_test(0.0,0.00)[1]]
} 

bcnh_node2_ux = {
    'TYPE':'displ',
    'DOF':'ux',
    'DIR':'node',
    'LOC':{'x':2.0, 'y':0, 'z':0},
    'VAL':[displ_patch_test(2.0,0.00)[0]]
} 

bcnh_node2_uy = {
    'TYPE':'displ',
    'DOF':'uy',
    'DIR':'node',
    'LOC':{'x':2.0, 'y':0, 'z':0},
    'VAL':[displ_patch_test(2.0,0.00)[1]]
} 

bcnh_node3_ux = {
    'TYPE':'displ',
    'DOF':'ux',
    'DIR':'node',
    'LOC':{'x':2.0, 'y':3.0,'z':0},
    'VAL':[displ_patch_test(2.0,3.0)[0]]
} 

bcnh_node3_uy = {
    'TYPE':'displ',
    'DOF':'uy',
    'DIR':'node',
    'LOC':{'x':2.0, 'y':3.0, 'z':0},
    'VAL':[displ_patch_test(2.0,3.0)[1]]
} 


bcnh_node4_ux = {
    'TYPE':'displ',
    'DOF':'ux',
    'DIR':'node',
    'LOC':{'x':0, 'y':2.0,'z':0},
    'VAL':[displ_patch_test(0,2.0)[0]]
} 

bcnh_node4_uy = {
    'TYPE':'displ',
    'DOF':'uy',
    'DIR':'node',
    'LOC':{'x':0, 'y':2.0, 'z':0},
    'VAL':[displ_patch_test(0,2.0)[1]]
} 

physicdata = {
    'PHYSIC':{
        'DOMAIN':'structural',
        'LOAD':[],
        'BOUNDCOND':[
                    # bcfix,
                    bcnh_node1_ux, bcnh_node1_uy,
                    bcnh_node2_ux, bcnh_node2_uy,
                    bcnh_node3_ux, bcnh_node3_uy,
                    bcnh_node4_ux, bcnh_node4_uy,]
    }
}

fea.Physic(physicdata)


fea.PreviewAnalysis(previewset)

solverset = {
    'STEPSET':{
        'type':'table',
        'start':0,
        'end':1,
        'step':1
    },
    'SYMM':False,
    'MP':False
}

solverdata = fea.Solve(solverset)

print(solverdata['solution']['U'])

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                "PLOTSET": {'show': True, 'filename': 'PatchTest', 'savepng': True},
                "REPORT": {'log': True, 'get':{
                        'nelem': True,
                        'nnode': True,
                        'inci': True,
                        'coord':True,
                        'tabmat':True,
                        'tabgeo':True,
                        'boundcond_list':True,
                        'forces_list':True,
                    }
            }}
postprocdata = fea.PostProcess(postprocset)

print('STRESS_XX: ',postprocdata['STRESS_XX'])

myfempyVSsu2_StaticLinear.py

Analysis to convergence of myfempy solver with su2

Resposta do MYFEMPY Relatório de Benchmark (PT-BR PDF)

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import sys
# setting path
sys.path.append('../myfempy')

from myfempy import newAnalysis
from myfempy import SteadyStateLinear

import numpy as np

# ===============================================================================
#                                   FEA
# ===============================================================================

fea = newAnalysis(SteadyStateLinear, 'su2_test')

mat = {
    "NAME": "material",
    "VXX": 0.35,
    "EXX": 5.0E9,
    }

geo = {"NAME": "geo1",
       "THICKN": 1.0}

# MODEL SET
LX = 0.5
LY = 10 

# gmsh config
points = [
        [0, 0, 0],
        [LX, 0, 0],
        [LX, LY, 0],
        [0, LY, 0]
        ]

lines = [
        [1, 2],
        [2, 3],
        [3, 4],
        [4, 1],
        ]

plane = [
        [1, 2, 3, 4]
        ]

modeldata = {

   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        'pointlist': points,
        'linelist': lines,
        'planelist': plane,
        'meshconfig': {
            'mesh': 'quad4',
            'sizeelement': 0.2,
            'meshmap': {'on': True,
                        'edge': 'all',
                    #  "numbernodes": 10,
            }
            }
    },

    "ELEMENT": {
        'TYPE': 'structplane',
        'SHAPE': 'quad4',
        'INTGAUSS': 4,
    },

    "MATERIAL": {
        "MAT": 'planestress',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'thickness',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

f1 = {
    'TYPE': 'forceedge',
    'DOF': 'fx',
    'DIR': 'edgex',
    'LOC': {'x': 0, 'y': 999, 'z': 0},
    'VAL': [1.0],
    }

bc1 = {
    'TYPE': 'fixed',
    'DOF': 'full',
    'DIR': 'edgey',
    'LOC': {'x': 999, 'y': 0, 'z': 0},
    }

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
               "LOAD": [f1],
               "BOUNDCOND": [bc1],
    },
    }

fea.Physic(physicdata)


previewset = {'RENDER': {'filename': 'model_preview', 'show': True, 'scale': 2, 'savepng': True, 'lines': False,
                         'plottags': {'line': True}
                         },
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'table',
                        'start': 0,
                        'end': 1,
                        'step': 1},
             'SYMM':True,
             }
solverdata = fea.Solve(solverset)

print(np.max(np.abs(solverdata['solution']['U'])))

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'displ': True, 'stress': True}},
                "PLOTSET": {'show': True, 'filename': 'solution', 'savepng': True},
                "REPORT": {'log': True,
                           'get': {
                                'nelem': True,
                                'nnode': True
                                }
                                },
            }
postprocdata = fea.PostProcess(postprocset)

Vibration Modal Linear Analysis

vibration_plane.py

Relatório de Benchmark (PT-BR PDF)

Relatório de Benchmark (PT-BR PDF)

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from myfempy import newAnalysis
from myfempy import DynamicEigenLinear

#===============================================================================
#                                   FEA
#===============================================================================
fea = newAnalysis(DynamicEigenLinear)

mat = {
    "NAME": "mat1",
    "VXY": 0.25,
    "EXX": 10000,
    "RHO": 10,
    }

geo = {
    "NAME": "espessura",
    "THICKN": 2,
    }

# MODEL SET
LX = 10
LY = 5

# nelx = 40
# nely = 30

esize = 0.25

# gmsh config
points = [
    [0, 0, 0],
    [LX, 0, 0],
    [LX, LY, 0],
    [0, LY, 0]
]

lines = [[1, 2],
         [2, 3],
         [3, 4],
         [4, 1],
         ]

plane = [[1, 2, 3, 4]]

modeldata = {        
    # "MESH": {
    #     'TYPE': 'legacy',
    #     'LX': LX,
    #     'LY': LY,
    #     'NX': nelx,
    #     'NY': nely,
    #     },

    "MESH": {
            'TYPE': 'gmsh',
            'filename': 'mesh_gmsh',
            'pointlist': points,
            'linelist': lines,
            'planelist': plane,
            'meshconfig': {
                'mesh': 'quad4',   #quad4
                'sizeelement': 2 * esize,
                'meshmap': {'on': True,
                            'edge': 'all', #'all'
                        #  "numbernodes": 10,
                }}
        },

    "ELEMENT": {
        'TYPE': 'structplane',
        'SHAPE': 'quad4',
        # 'INTGAUSS': 4,
    },

    "MATERIAL": {
        "MAT": 'planestress',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'thickness',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

forcespring_left = {
    'TYPE': 'forcenode',
    'DOF': 'spring2ground',
    'DIR': 'point',
    'TAG': 1,
    'VAL': [1000.0],
    }

forcespring_right = {
    'TYPE': 'forcenode',
    'DOF': 'spring2ground',
    'DIR': 'point',
    'TAG': 2,
    'VAL': [1000.0],
    }

massadd = {
    'TYPE': 'forcenode',
    'DOF': 'masspoint',
    'DIR': 'node', #'point', #'node',
    'LOC': {'x': LX/2, 'y': LY/2, 'z': 0},
    'VAL': [1.4],
    }

bc_nodes_left = {
    'TYPE': 'fixed',
    'DOF': 'full',
    'DIR': 'edgex',
    'LOC': {'x': 0, 'y': 999, 'z': 0},
    }

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
                "LOAD": [],
                "BOUNDCOND": [bc_nodes_left],
    },
    }
fea.Physic(physicdata)

previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 10, 'savepng': True, 'lines': False,
                        'plottags': {
                        # 'line': True
                        'point': True
                              }
                         },
            #   'LABELS': {'show': True, 'lines': True, 'scale': 1},
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'mode',  # mode, freq, time ...
                        'start': 0,
                        'end': 3,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)

print(solverdata['solution']['FREQ'])

postprocdata = {"SOLVERDATA": solverdata,
                "COMPUTER": {
                    'structural': {'modes': True},
                    },
                "PLOTSET": {'filename': 'output', 'savepng': True},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},           
                }

postporc_result = fea.PostProcess(postprocdata)

vibration_beam.py

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import sys
# setting path
sys.path.append('../myfempy')

from myfempy import newAnalysis
from myfempy import DynamicEigenLinear

# ===============================================================================
#                                   FEA
# ===============================================================================
fea = newAnalysis(DynamicEigenLinear)
LX = 10 
nelx = 10
# MODEL SET
mat = {
    "NAME": "aco",
    "EXX": 10000,       # N/mm^2 --> MPa
    "GXY": 4000,
    "RHO": 10,    # kg/mm^2
    }

geo = {
    "NAME": "secao",
    "AREACS": 10,
    "INERYY": 100,
    "INERZZ": 100,
    "INERXX": 100,
    }


# MODEL SET
# gmsh config
points = [
    [0, 0, 0],
    [LX, 0, 0],
]

lines = [
    [1, 2],
         ]

modeldata = {
   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        'pointlist': points,
        'linelist': lines,
        'meshconfig': {
            'mesh': 'line2',
            "numbernodes": nelx + 1,
            }
    },

    "ELEMENT": {
        'TYPE': 'structbeam',
        'SHAPE': 'line2',
        # 'INTGAUSS': 4,
    },

    "MATERIAL": {
        "MAT": 'uniaxialstress',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'frame',
        "SECTION": 'userdefined',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

bc = {
    'TYPE': 'fixed',
    'DOF': 'full',
    'DIR': 'node',
    'LOC': {'x': 0, 'y': 0, 'z': 0},
    }

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
               "LOAD": [],
               "BOUNDCOND": [bc],
    },
}
fea.Physic(physicdata)

previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 20, 'savepng': True, 'lines': False,
                         },
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'mode',  # mode, freq, time ...
                        'start': 0,
                        'end': 30,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)

print(solverdata['solution']['FREQ'])

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {'structural': {'modes': True}},
                "PLOTSET": {'show': True, 'filename': 'output', 'savepng': True},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},
            }
postprocdata = fea.PostProcess(postprocset)

vibration_solid.py

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import sys
# setting path
sys.path.append('../myfempy')

from myfempy import newAnalysis
from myfempy import DynamicEigenLinear

# ===============================================================================
#                                   FEA
# ===============================================================================
fea = newAnalysis(DynamicEigenLinear)

# MODEL SET
mat = {
    "NAME": "Aluminum_Alloy",
    "VXY": 0.33,
    "EXX": 71E6,        # MPa (N/mm2)
    "RHO": 2.77E-06,    # kg/mm3
    }

geo = {"NAME": "Solid"}

# MODEL SET
LX = 100
LY = 100
esize = 5

# gmsh config
points = [
    [0, 0, 0],
    [LX, 0, 0],
    [LX, LY, 0],
    [0, LY, 0]
]

lines = [[1, 2],
         [2, 3],
         [3, 4],
         [4, 1],
         ]

plane = [[1, 2, 3, 4]]


modeldata = {
   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        'pointlist': points,
        'linelist': lines,
        'planelist': plane,
        'meshconfig': {
            'mesh': 'hexa8',   #quad4 tria3
            'sizeelement': 2*esize,
            'extrude': 100,
            'meshmap': {'on': True,
                        'edge': 'all', #[[1,3], [2,4]], #'all'
                        # "numbernodes": [20, 10],
            }
            }
    },

    "ELEMENT": {
        'TYPE': 'structsolid',
        'SHAPE': 'hexa8',
        'INTGAUSS': 9,
    },

    "MATERIAL": {
        "MAT": 'solidelastic',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'solid',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
               "LOAD": [],
               "BOUNDCOND": [],
    },
}
fea.Physic(physicdata)

previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 8, 'savepng': True, 'lines': True,
                        #  'plottags': {'point': True},
                         },
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                        'start': 0,
                        'end': 12,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)

print(solverdata['solution']['FREQ'])

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {
                    'structural': {'modes': True},
                    },
                "PLOTSET": {'filename': 'output', 'savepng': True},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},           
                }
postprocdata = fea.PostProcess(postprocset)

tuning_fork.py

Relatório de Benchmark (PT-BR PDF) Extra file download

Relatório de Benchmark (PT-BR PDF)

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from myfempy import newAnalysis
from myfempy import DynamicEigenLinear

# ===============================================================================
#                                   FEA
# ===============================================================================
fea = newAnalysis(DynamicEigenLinear, 'sim')
# MODEL SET
mat = {
    "NAME": "Aluminum_Alloy",
    "VXY": 0.33,
    "EXX": 71E6,        # MPa (N/mm2)
    "RHO": 2.77E-6,    # kg/mm3
    }

geo = {"NAME": "Solid"}

modeldata = {
   "MESH": {
        'TYPE': 'gmsh',
        'filename': 'mesh_gmsh',
        # !!! COLOCAR O CAD NO DIRETORIO DA SIMULACAO !!!
        'cadimport': {'object': 'tuning_fork.STEP'}, 
        'meshconfig': {
            'mesh': 'tetr4',
            'sizeelement': 2,
            },
    },

    "ELEMENT": {
        'TYPE': 'structsolid',
        'SHAPE': 'tetr4',
        # 'INTGAUSS': 4,
    },

    "MATERIAL": {
        "MAT": 'solidelastic',
        "TYPE": 'isotropic',
        "PROPMAT": [mat],
    },

    "GEOMETRY": {
        "GEO": 'solid',
        "PROPGEO": [geo],
    },
}
fea.Model(modeldata)

physicdata = {
    "PHYSIC": {"DOMAIN": "structural",
               "LOAD": [],
               "BOUNDCOND": [],
    },
}
fea.Physic(physicdata)

previewset = {'RENDER': {'filename': 'preview', 'show': True, 'scale': 4, 'savepng': True, 'lines': True,
                        #  'plottags': {'plane': True}
                         },
              }
fea.PreviewAnalysis(previewset)

# #-------------------------------- SOLVER -------------------------------------#
solverset = {"STEPSET": {'type': 'table',  # mode, freq, time ...
                        'start': 0,
                        'end': 12,
                        'step': 1},
             'SYMM':True,
            #  'MP':True,
            }
solverdata = fea.Solve(solverset)

print(solverdata['solution']['FREQ'])

postprocset = {"SOLVERDATA": solverdata,
                "COMPUTER": {
                    'structural': {'modes': True},
                    },
                "PLOTSET": {'filename': 'output', 'savepng': True},
                "REPORT": {'log': True, 'get': {'nelem': True, 'nnode': True}},           
                }
postprocdata = fea.PostProcess(postprocset)

Vibration Harmonic Linear Analysis

vibration_frf.py

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Heat Flow

heat_StSd.py

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Cyclic Symmetric

cyclic_symmetric_plane.py

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Thermal-Mechanics

coup_struct_heat_StSd.py

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sim_tira_bimetalica.py

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Multi-Scale

myfempy_multi_escala_Al_core_square_hole.py

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