Dislocations in Cosserat Plates

作     者：Roman Kvasov Lev Steinberg Roman Kvasov;Lev Steinberg

作者机构：Department of Mathematics University of Puerto Rico at Aguadilla Puerto Rico USA Department of Mathematics University of Puerto Rico at Mayaguez Puerto Rico USA 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2022年第10卷第11期

页      面：3369-3384页

学科分类：08[工学] 080502[工学-材料学] 0805[工学-材料科学与工程（可授工学、理学学位）] 

主　　题：Dislocation Cosserat Plates Cosserat Materials 

摘      要：This article provides the numerical modeling of the dislocations in the Cosserat elastic plates based on the Cosserat Plates Theory developed by the authors. The dislocation is modeled by a sequence of domains that converge to the point of the dislocation and by a residual force distributed around that point. The plate deformation caused by the dislocation is calculated using the Finite Element Method. We also discuss the effect of the dislocation on the cavities present in the Cosserat plates.