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正交异性理想弹塑性材料Ⅲ型静止裂纹尖端场和小范围屈服解
TIP FIELDS AND SMALL-SCALE YIELDING SOLUTION OF A MODE III STATIC CRACK IN ORTHOTROPIC ELASTIC PERFECTLY-PLASTIC MATERIALS
【摘要】 本文假定R.Hill屈服准则,得到了正交异性理想塑性材料的Ⅲ型静止裂纹尖端场,在承认歪形能屈服准则的前提下,运用仿射变换和复函数映象的方法,求得了正交异性线弹性理想塑性材料Ⅲ型静止裂纹的小范围屈服解,进而给出了张开位移的表达式。
【Abstract】 In this paper, tip fields of a mode III static crack in orthotropic perfectly-plastic materials are presented by supposing the R. Hill’s yield criterion. On the assumption of distortion energy yield criterion, a small-scale yielding solution in linear elastic perfectly-plastic materials is obtained by using affine transformation and complex function mapping, and the crack opening displacement is discussed as well.
- 【文献出处】 力学学报 ,Acta Mechanica Sinica , 编辑部邮箱 ,1989年03期
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