正交异性材料平面应力问题的特征场

The CHARACTERISTIC FIELD OF PLASTIC PLANE STRESS PROBLEM for the ORTHOTRQPIC MATERIALS

本文将正交异性材料看成理想刚塑性材料,采用Hill屈服准则及与之相关的流动法则,建立了塑性平面应力问题的特征场,分别获得了应力场及速度场,无论应力场还是速度场,双曲型区两族特征线互不正交,应力场的特征线与速度场的特征线互不重合。

In this paper the orthotropic materials are regarded as perfectly Plastic as to simplify the analysis. The characteristic fields of plastic plane stress problems are constituted by adopting Hill yield criteria and its associated plastic flow rule. Both of the stress field and the velocity field are obtained. Either in stress field or in velocity field there'are two families of characteristic lines, which are not mutually orthogonal.And the characteristic lines in the velocity field do not coincide with that in the stress field.