宁夏大学学报（自然科学版）2018，Vol.39Issue(1)：4-9,6.
带裂纹非均匀各向异性材料的双周期弹性焊接第一基本问题
First Fundamental Plane Elasticity Welding Problem of Inhomogeneous Anisotropic Materials with A Doubly-periodic Set of Cracks
摘要
Abstract
Doubly periodic plane elasticity problem is very useful in elasticity and fracture of isotropic and anisotropic elastic materials.In this paper,the first fundamental plane elasticity welding problem is investigated.Employing the complex variable function method,solving this problem is transferred into seeking analytic functions which fit certain boundary value problems.Further,under some general restrictions,Sherman's transform for doubly-periodic elasticity theory of homogeneous anisotropic materials to that of inhomogeneous materials is developed.Then,using the general representation for the solution,the boundary value problem is reduced to a normal type singular integral equation with a Weierstrass zeta kernel along the boundary of cracks and welding interface,and the unique solvability of which is established.关键词
非均匀各向异性材料/双周期裂缝/第一基本问题/积分方程/唯一可解Key words
inhomogeneous anisotropic material/doubly periodic cracks/first fundamental problem/integral equation/unique solvability分类
数理科学引用本文复制引用
时朋朋,李星..带裂纹非均匀各向异性材料的双周期弹性焊接第一基本问题[J].宁夏大学学报（自然科学版）,2018,39(1):4-9,6.基金项目
国家自然科学基金资助项目(11362018) （11362018）
