一维六方准晶中带双裂纹的椭圆孔口问题的塑性模拟  

Plastic Simulation of Elliptical Orifice with Double Cracks in One-Dimensional Hexagonal Quasi-Crystals

作　　者：梁晋燕 李梧 

机构地区：[1]太原理工大学数学学院,山西 晋中

出　　处：《应用数学进展》2020年第7期1006-1015,共10页Advances in Applied Mathematics

摘　　要：本文主要对一维六方准晶中带双裂纹椭圆孔口问题进行了裂纹尖端的塑性模拟,利用保角映射法,将准晶中难处理的物理平面问题转变为我们所熟悉的、有规则的数学平面问题,基于已有的理论,最后得到椭圆孔所带双裂纹的尖端内聚力区域的尺寸大小,并且在极限的情况下与已有结果相同。In this paper, the problem of elliptical hole with double cracks in one-dimensional hexagonal quasi-crystals is simulated. By using conformal mapping method, the physical plane problem that is difficult to deal with in quasi-crystals is transformed into a familiar and regular mathematical plane problem. Based on the existing theory, the size of the cohesive force area at the tip of the double cracks in the elliptical hole is obtained. In the case of limit, it is the same as the existing result.

关 键 词：一维六方准晶 带双裂纹的椭圆孔口 复变函数 

分 类 号：G63[文化科学—教育学]