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contributor authorT. R. Blake
contributor authorJ. F. Wilson
date accessioned2017-05-09T01:37:43Z
date available2017-05-09T01:37:43Z
date copyrightMarch, 1974
date issued1974
identifier issn0021-8936
identifier otherJAMCAV-26002#111_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164532
description abstractA numerical study of plane longitudinal waves in a nonlinear viscoelastic material is presented. The constitutive relationship and the conservation equations, in Lagrangian form, are formulated in an explicit first-order finite-difference manner. The mechanical behavior of the material is described by means of state and orientation variables and the associated differential equations. With the use of the numerical procedure we model wave-propagation experiments in polymethyl methacrylate and derive a constitutive relationship for that material. We then use this constitutive equation in a numerical study of the evolution of steady-state waves and we show that the time for the formation of these waves is inversely proportional to magnitude of the imposed velocity.
publisherThe American Society of Mechanical Engineers (ASME)
titleA Numerical Study of Plane Longitudinal Waves in a Nonlinear Viscoelastic Material
typeJournal Paper
journal volume41
journal issue1
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3423204
journal fristpage111
journal lastpage116
identifier eissn1528-9036
keywordsViscoelastic materials
keywordsLongitudinal waves
keywordsWaves
keywordsEquations
keywordsSteady state
keywordsWave propagation
keywordsDifferential equations AND Mechanical behavior
treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 001
contenttypeFulltext


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