基于Python的面向对象弹塑性有限元方法实现与数值模拟

Implementation and Numerical Simulation on Object-oriented Elastic-plastic Finite Element Method Based on Python

随着有限元应用领域的不断扩大,对有限元的可扩充性提出了更高的要求。为克服传统有限元的缺陷,基于Python提出了一种简单、易扩充的面向对象弹塑性有限元程序框架,结合Python的特性,设计了前处理类、后处理类、线性求解类、应力积分类、分析类等有限元类。通过将程序框架应用于几类典型弹塑性问题的有限元分析与模拟,并与ABAQUS计算结果进行了对比,验证了基于Python的面向对象弹塑性有限元程序的准确性和有效性。

With the continuous expansion of the application fields of finite element methods,higher requirements are put forward for the scalability of finite element methods.In order to overcome the defects of the traditional finite element methods,a simple and easily extensible object-oriented elastic-plastic finite element program framework is proposed based on Python.Combined with the characteristics of Python,we design some finite element classes such as the pre-processing class,the post-processing class,the linear solution class,the stress integration class and the analysis class.By applying the resulting framework to several typical elastic-plastic mechanical problems and comparing the results with those calculated by ABAQUS,the correctness and effectiveness of object-oriented elastic-plastic finite element program based on Python have been verified.