基于e-p曲线的塑性力学新方法的有限元算法

以e-p曲线为基础的塑性力学新方法具有思路清晰，求解过程简洁明了等优点，当边界条件是全为应力边界条件，或有位移边界条件但在塑性区边界上仅有零位移边界条件时，采用这种新方法比较便捷．以这种新方法作为理论依据，探讨了它的一种数值计算方法——有限单元法，并对典型的塑性力学问题进行了实例计算．

The Finite Element Method of Plasticity Theory Based on e-p Curve

The new method of plasticity based on e-p curve is of obvious advantage over the current method. For example, it has clear thought ,and its solving procedure is more concise than that of the classical theory method. It is convenient to use the new method when boundary conditions are as follows：they are all stress ones, or they contain displacement boundary conditions but only contain zero-displacement boundary conditions on the plastic region boundary. This article is based on the new method as the theoretical foundation, and it discussed one numerical computational methods of the new method--Finite Element Method and calculated examples about some typical problems about the theory of plasticity.