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Advanced time‐domain formulation of BEM for two‐dimensional transient elastodynamics
Author(s) -
Israil A. S. M.,
Banerjee P. K.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290704
Subject(s) - boundary element method , transient (computer programming) , kernel (algebra) , time domain , boundary (topology) , discretization , mathematics , interpolation (computer graphics) , quadratic equation , algorithm , mathematical optimization , computer science , finite element method , mathematical analysis , geometry , engineering , structural engineering , discrete mathematics , animation , computer graphics (images) , computer vision , operating system
In this paper, a new formulation for two‐dimensional time‐domain transient elastodynamic analysis by the Boundary Element Method (BEM) is presented. The traction kernel is derived by using the causality of the waves and the resulting kernel is explicit and much simpler than the ones that have appeared in the recent literature. An appropriate set of linear time interpolation functions together with quadratic spatial variations are incorporated. Moreover, the algorithm has a capability of handling problems with multiply connected regions. All of these advanced features have resulted in an efficient formulation capable of producing very accurate results and represent significant improvements over the present level of sophistication in this area. This above algorithm is now a part of the general purpose BEM code known as GPBEST.