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应用有限元法计算材料非线性问题主要有两方面的问题,一是本构关系及模型;二是非线性方程组的解法.在本构关系及模型使用上目前常用的分两类:一是按强度判别准则(如无拉力分析);另一类是应用屈服准则.在解非线性方程组时,通常将非线性问题化作多个线性问题求解,如常用的初应力法,初应变法,变KP法,Newton—Raphson法(简称N—R法)等等.
There are mainly two problems in applying the finite element method to calculate the material nonlinearity, one is the constitutive relation and model, the other is the solution of the nonlinear equations, and there are two kinds commonly used in constitutive relation and model use: Strength criterion (such as no tension analysis), and the other is to apply the yield criterion.When solving nonlinear equations, nonlinear problems are usually solved by several linear problems, such as common initial stress method, initial strain method, Change KP method, Newton-Raphson method (referred to as N-R method) and so on.