Contact problem for regular hexagon weakened with full-strength hole
Contact problem for regular hexagon weakened with full-strength hole作者机构:Department of Computer Sciences Tbilisi State University Department of Applied Physics Ⅱ Polytechnic School Malaga University Department of Statistics and Operative Research Malaga University
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2013年第34卷第2期
页 面:239-248页
核心收录:
学科分类:08[工学] 080102[工学-固体力学] 0801[工学-力学(可授工学、理学学位)]
主 题:plate elasticity theory complex variable theory stress state regular polygon
摘 要:A problem of the plane elasticity theory is addressed for a doubly connected body with an external boundary of the regular hexagon shape and with a 6-fold symmetric hole at the center. It is assumed that all the six sides of the hexagon are subjected to uniform normal displacements via smooth rigid stamps, while the uniformly distributed normal stress is applied to the internal hole boundary. Using the methods of complex analysis, the analytical image of Kolosov-Muskhelishvili's complex potentials and the shape of the hole contour are determined from the condition that the circumferential normal stress is constant along the hole contour. Numerical results are given and shown in relevant graphs.