Back to Search
Start Over
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
- Source :
- Mathematics and Mechanics of Solids. 23:148-158
- Publication Year :
- 2016
- Publisher :
- SAGE Publications, 2016.
-
Abstract
- A 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.
- Subjects :
- Physics
Class (set theory)
Cauchy stress tensor
General Mathematics
Mathematical analysis
Infinitesimal strain theory
02 engineering and technology
010502 geochemistry & geophysics
Wave equation
01 natural sciences
Nonlinear system
Cauchy elastic material
020303 mechanical engineering & transports
Classical mechanics
0203 mechanical engineering
Mechanics of Materials
General Materials Science
0105 earth and related environmental sciences
Subjects
Details
- ISSN :
- 17413028 and 10812865
- Volume :
- 23
- Database :
- OpenAIRE
- Journal :
- Mathematics and Mechanics of Solids
- Accession number :
- edsair.doi...........6642b663edf90fcb01162c83eb740b16
- Full Text :
- https://doi.org/10.1177/1081286516673234