A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic

dc.creatorMeneses, R.
dc.creatorOrellana, O.
dc.creatorBustamante Plaza, Roger
dc.date.accessioned2018-07-30T15:58:02Z
dc.date.available2018-07-30T15:58:02Z
dc.date.created2018-07-30T15:58:02Z
dc.date.issued2018
dc.identifierMathematics and Mechanics of Solids, 23 (2): 148-158
dc.identifier10.1177/1081286516673234
dc.identifierhttps://repositorio.uchile.cl/handle/2250/150433
dc.description.abstractA class of constitutive relations for elastic bodies has been proposed recently, where the linearized strain tensor is expressed as a nonlinear function of the stress tensor. Considering this new type of constitutive equation, the initial boundary value problem for such elastic bodies has been expressed only in terms of the stress tensor. In this communication, this new type of nonlinear wave equation is studied for the case of a one-dimensional straight bar. Conditions for the existence of the travelling wave solutions are given and some self-similar solutions are obtained.
dc.languageen
dc.publisherSage Publications
dc.sourceMathematics and Mechanics of Solids
dc.subjectStrain limiting behaviour
dc.subjectImplicit constitutive relations
dc.subjectTravelling wave solution
dc.subjectSelf similar solutions
dc.subjectElastic rod
dc.titleA note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
dc.typeArtículo de revista


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