Causality condition relevant functions-orientated analytical treatment on singularities in 3D TD-BEM

作者：

Highlights：

• A new coordinate transformation method is proposed to analytically transform the singular integrals on the spatial surface element into the 2-D plane element.

• The hyper spatial singularity is solved by using hadamrd principle integral, without using any element of the elastostatic method of rigid body displacement.

• The singular integrals both in time and space for 3-D elastodynamics is directly analytically treated.

摘要

•A new coordinate transformation method is proposed to analytically transform the singular integrals on the spatial surface element into the 2-D plane element.•The hyper spatial singularity is solved by using hadamrd principle integral, without using any element of the elastostatic method of rigid body displacement.•The singular integrals both in time and space for 3-D elastodynamics is directly analytically treated.

论文关键词：Time domain boundary element method (TD-BEM),Three dimensional elastodynamics,Spatial singularity,Hadamard principle integral

论文评审过程：Received 14 October 2021, Revised 20 February 2022, Accepted 19 March 2022, Available online 26 April 2022, Version of Record 26 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127113