 Corner treatment by assigning dual tractions to every node for elastodynamics in TD-BEMDuofa Ji, Weidong Lei and Hongjun Li Applied Mathematics and Computation, 2016, vol. 284, issue C, 125-135 Abstract: In this study, a corner treatment on the boundary for time domain boundary element method (TD-BEM) by assigning dual tractions to every node is proposed. The proposed corner treatment on boundary mimics the real mechanical situation on the physical boundary for elastodynamic problem, and the computation accuracy is good. Taking the rectangular boundary as an example, the numerical implementation of the proposed corner treatment on boundary by assigning dual tractions to every node is demonstrated. Two verification examples, one-dimensional rod in finite medium and two-dimensional circular cavity in infinite medium under dynamic loads are conducted, in which the results from the TD-BEM, based on the proposed corner treatment on boundary, are compared with the results from the analytical solutions. Good agreement between the analytical results and the TD-BEM results, based on the proposed corner treatment on boundary for TD-BEM, is achieved for the two verification examples. Keywords: Elastodynamics; Time domain boundary element method (TD-BEM); Node; Corner treatment (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:284:y:2016:i:c:p:125-135 DOI: 10.1016/j.amc.2016.02.059 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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