弹塑性问题的互补变分原理与模型

Complementary Variation Principle and Model for Elastoplastic Problems

首先利用塑性理论中屈服函数与塑性流动参量之间的互补性 ,给出了弹塑性问题的互补虚功原理 ;然后用Taylor级数对屈服函数进行线性化处理 ,导出了基于有限单元法的弹塑性问题的线性互补模型 ,并给出了求解方法 .算例结果表明 ,本文方法不但具有较高的计算效率和计算精度 。

In consideration of the complementarity between yield function and plastic flow parameters in the plastic theory, a complementary virtual work principle is proposed for elastoplastic problems. Based on the linearization of yield function with the Taylor Series, a FEM based linear complementary model is developed, and an algorithm is also presented. Calculation shows that the present method may help improve the calculation efficiency and precision, and it has a wide scope of application.