摘要
COMSOL Multiphysics有限元模拟软件中的数学模块即"PDE"模式,直接基于数学方程对实际问题进行求解.根据实际问题建立数学模型并在数学模块中输入对应的数学方程,软件通过内置的算法直接对方程进行数值计算.将弹塑性问题的增量描述改变成等效的瞬态方程组,在数学模块中通过系数型和弱形式两种方法实现对等效瞬态方程组的输入.作为算例,对一个中心开孔矩形板的加载-卸载-再加载过程进行数值模拟,分别通过数学模块和固体力学模块进行求解,并对二者求解结果进行了对比分析.
The mathematical module named PDE Modes in the FEM simulation software COMSOL Mul- tiphysics solves practical problems by solving mathematical equations directly. Upon establishing math- ematic model of practical problems and inputting the corresponding mathematical equations, the equations can be numerically calculated using the algorithm built-in the software. The incremental description of e- lastoplastic problem is transformed to an equivalent transient equation set which can be inputted into the software by the coefficient form and weak form in the mathematical Module. As an example, a rectangle plate with a hole in the centre of it undergoes the process of loading-unloading-reloading and the process is simulated numerically. The simulation is completed by mathematical module and solid mechanical module respectively; and the simulated results of them are compared and analyzed.
出处
《武汉大学学报（工学版）》
CAS
CSCD
北大核心
2015年第2期195-201,共7页
Engineering Journal of Wuhan University
基金
国家重点基础研究计划(973)项目课题(编号:2012CB026102)
国家自然科学基金重点项目(编号:NSFC#51239010)
