FINITE-PART INTEGRAL AND BOUNDARY ELEMENT METHOD TO SOLVE FLAT CRACK PROBLEMS  

作　　者：秦太验 汤任基 

机构地区：[1]Shanghai Jiaotong University, Shanghai

出　　处：《Applied Mathematics and Mechanics(English Edition)》1992年第12期1089-1095,共7页应用数学和力学（英文版）

基　　金：The project supported by the Foundation of the Science Research of the State Education Commission of the People's Republic of China

摘　　要：Using the Somigliana formula and the concepts of finite-part integral, a set of hypersingular integral equations to solve the arbitrary flat crack in three-dimensional elasticity is derived and its numerical method is then proposed by combining the finite-part integral method with boundary element method. In order to verify the method, several numerical examples are carried out. The results of the displacement discontinuities of the crack surface and the stress intensity factors at the crack front are in good agrement with the theoretical solutions.Using the Somigliana formula and the concepts of finite-part integral, a set of hypersingular integral equations to solve the arbitrary flat crack in three-dimensional elasticity is derived and its numerical method is then proposed by combining the finite-part integral method with boundary element method. In order to verify the method, several numerical examples are carried out. The results of the displacement discontinuities of the crack surface and the stress intensity factors at the crack front are in good agrement with the theoretical solutions.

关 键 词：hypersingular integral equations three-dimensional fracture mechanics finite-part integrals 

分 类 号：O3，O1[理学—力学]