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contributor authorW. W. Recker
date accessioned2017-05-09T00:34:48Z
date available2017-05-09T00:34:48Z
date copyrightMarch, 1970
date issued1970
identifier issn0021-8936
identifier otherJAMCAV-25906#116_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/141656
description abstractThe equations governing the dynamic deformation of an elastic solid are considered as a symmetric hyperbolic system of linear first-order partial-differential equations. The characteristic properties of the system are determined and a numerical method for obtaining the solution of mixed initial and boundary-value problems in elastodynamics is presented. The method, based on approximate integral relations along bicharacteristics, is an extension of the method proposed by Clifton for plane problems in dynamic elasticity and provides a system of difference equations, with second-order accuracy, for the explicit determination of the solution. Application of the method to a problem which has a known solution provides numerical evidence of the convergence and stability of the method.
publisherThe American Society of Mechanical Engineers (ASME)
titleA Numerical Solution of Three-Dimensional Problems in Dynamic Elasticity
typeJournal Paper
journal volume37
journal issue1
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3408418
journal fristpage116
journal lastpage122
identifier eissn1528-9036
keywordsElasticity
keywordsEquations
keywordsStability
keywordsDeformation
keywordsNumerical analysis
keywordsBoundary-value problems AND Elastodynamics
treeJournal of Applied Mechanics:;1970:;volume( 037 ):;issue: 001
contenttypeFulltext


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