Hypersingular formulation for boundary stress evaluation revisited. Part 1: Smooth boundaries.

Electronic Journal of Boundary Elements

Alberto Salvadori¹ 

[1] University of Brescia

关键词: Hypersingular boundary integral equations;    stress evaluation;    free terms;    boundary element method;   

DOI  :  

学科分类：农业科学（综合）

来源: Rutgers University Libraries

【 摘 要 】

This work focuses on the (HBIE) hypersingular boundary integral equation, also called traction equation, and on its use to evaluate the stress tensor in linear elasticity. When the field point is moved to the boundary, by means of a limit process, free terms come into play. As a common belief, they are due to the strongly singular kernel: indeed it is proved that the hypersingular kernel does not cause any free term when tractions are evaluated on smooth boundaries with respect to the boundary surface normal (when the concept of normal makes sense). The stress tensor along the boundary involves surfaces with normal differing from the boundary normal, too. In this case, free terms are proved to be generated also by the hypersingular kernel, aside from the regularity of the boundary: their analysis is the main goal of the present work.

【 授权许可】

Unknown