pyfem 0.1.3

A finite element package for learning

pyfem

pyfem是一个完全基于python语言实现的极简有限元求解器。基于numpy、scipy和meshio等第三方库，主要用于有限元方法的学习、有限元算法验证和快速建立材料本构模型的程序原型。

Installation 安装

Use the package manager pip to install pyfem. 使用pip命令安装。

pip install pyfem

Tutorial 指南

Run in command line 在命令行运行:

pyfem --help

Run the first example 执行第一个算例:

pyfem -i Job-1.toml

算例配置文件 Job-1.toml:

title = "Job-1"

[mesh]
type = "abaqus"
file = "hex8.inp"

[dof]
names = ["u1", "u2", "u3"]
order = 1
family = "LAGRANGE"

[[bcs]]
name = "BC-1"
category = "DirichletBC"
type = ""
dof = ["u1"]
node_sets = ['Set-X0']
element_sets = []
value = 0.0

[[bcs]]
name = "BC-2"
category = "DirichletBC"
type = ""
dof = ["u2"]
node_sets = ['Set-Y0']
element_sets = []
value = 0.0

[[bcs]]
name = "BC-3"
category = "DirichletBC"
type = ""
dof = ["u3"]
node_sets = ['Set-Z0']
element_sets = []
value = 0.0

[[bcs]]
name = "BC-4"
category = "NeumannBC"
type = "Distributed"
dof = ["u1"]
node_sets = ['Set-X1']
element_sets = ['Set-X1']
value = 1.0

[solver]
type = "NonlinearSolver"
option = "NewtonRaphson"
total_time = 1.0
start_time = 0.0
max_increment = 1000000
initial_dtime = 0.1
max_dtime = 1.0
min_dtime = 0.001

[[materials]]
name = "Material-1"
category = "Plastic"
type = "KinematicHardening"
data = [100000.0, 0.25, 400.0, 1000.0]

[[amplitudes]]
name = "Amp-1"
type = "TabularAmplitude"
data = [
    [0.0, 0.0],
    [1.0, 1.0]
]

[[sections]]
name = "Section-1"
category = "Solid"
type = "Volume"
option = "SmallStrain"
element_sets = ["Set-All"]
material_names = ["Material-1"]
data = []

[[outputs]]
type = "vtk"
field_outputs = ['S11', 'S22', 'S33', 'S12', 'S13', 'S23', 'E11', 'E22', 'E33', 'E12', 'E13', 'E23']
on_screen = false

采用abaqus格式的网格文件 hex8.inp:

*Heading
*Preprint, echo=NO, model=NO, history=NO, contact=NO
**
** PARTS
**
*Part, name=Part-1
*Node
      1,           1.,           1.,           1.
      2,           1.,           0.,           1.
      3,           1.,           1.,           0.
      4,           1.,           0.,           0.
      5,           0.,           1.,           1.
      6,           0.,           0.,           1.
      7,           0.,           1.,           0.
      8,           0.,           0.,           0.
*Element, type=C3D8R
1, 5, 6, 8, 7, 1, 2, 4, 3
*Nset, nset=Set-X0, generate
 5,  8,  1
*Elset, elset=Set-X0
 1,
*Nset, nset=Set-X1, generate
 1,  4,  1
*Elset, elset=Set-X1
 1,
*Nset, nset=Set-Y0, generate
 2,  8,  2
*Elset, elset=Set-Y0
 1,
*Nset, nset=Set-Y1, generate
 1,  7,  2
*Elset, elset=Set-Y1
 1,
*Nset, nset=Set-Z0
 3, 4, 7, 8
*Elset, elset=Set-Z0
 1,
*Nset, nset=Set-Z1
 1, 2, 5, 6
*Elset, elset=Set-Z1
 1,
*Nset, nset=Set-All, generate
 1,  8,  1
*Elset, elset=Set-All
 1,
*End Part
**  
**
** ASSEMBLY
**
*Assembly, name=Assembly
**  
*Instance, name=Part-1-1, part=Part-1
*End Instance
**  
*End Assembly

Documents 帮助文档

https://pyfem-doc.readthedocs.io/

Development

ToDo list

• 增加Neumann边界条件，支持concentrated force，distributed和pressure定义方式
• 增加hdf5计算结果输出格式
• 完善帮助文档
• 完善输入文件的校检
• 增加测试模块
• 增加日志模块
• 增加后台运行模式
• 处理平面应力状态的面外应力平衡
• 增加粘弹性力学本构模型
• 增加晶体塑性力学本构模型
• 增加温度场求解单元
• 增加温度场-位移场耦合求解单元
• 增加相场-位移场耦合求解单元
• 增加内聚区单元
• 增加动力学求解器
• 建立前处理界面

Bug list

• 采用abaqus网格文件时，如果存在node不属于任何element则在计算时会导致全局刚度矩阵奇异。