{"title":"High-resolution simulation of the elastic-plastic wave equation in three space dimensions","authors":"G. Giese","doi":"10.1142/S1465876304002599","DOIUrl":null,"url":null,"abstract":"In this paper we present an efficient numerical one-step method of high order in space and time for solving the elastic-plastic wave equation in three space dimensions. The basic idea is to decompose the hyperbolic PDE into advection equations, which can be solved numerically, Furthermore, the occurrence of plasticity makes it necessary to solve an ODE for the stress-strain relationship at every point.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Comput. Eng. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S1465876304002599","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper we present an efficient numerical one-step method of high order in space and time for solving the elastic-plastic wave equation in three space dimensions. The basic idea is to decompose the hyperbolic PDE into advection equations, which can be solved numerically, Furthermore, the occurrence of plasticity makes it necessary to solve an ODE for the stress-strain relationship at every point.
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