NDLI: Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space

Content Provider	Springer Nature Link
Author	Mahmoud, W. Ghaleb, A. F. Rawy, E. K. Hassan, H. A. Z. Mosharafa, A. A.
Copyright Year	2014
Abstract	A numerical solution is presented for a nonlinear, one-dimensional boundary-value problem of thermoelasticity with variable volume force and heat supply in a half-space. The surface of the body is subjected to a given periodic displacement. The volume force and bulk heating simulate the effect of a beam of particles infiltrating the medium. No phase transition is considered and the domain of the solution excludes any shock wave formation. The basic equations are formulated in material coordinates, making them adequate for dealing with moving boundaries. The used numerical scheme reproduces correctly the process of coupled thermomechanical wave propagation. The presented figures display the process of propagation of the coupled nonlinear thermoelastic waves. They also show the effects of volume force and heat supply on the distributions of the mechanical displacements and temperature inside the medium. Moreover, the interplay between these two factors and the applied boundary disturbance is outlined. The presented solutions, however, is not meant to capture the expected process of shock formation at the breaking distance.
Starting Page	1501
Ending Page	1515
Page Count	15
File Format	PDF
ISSN	09391533
Journal	Archive of Applied Mechanics
Volume Number	84
Issue Number	9
e-ISSN	14320681
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-05-23
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear thermoelasticity Nonlinear wave propagation Volume force Heat supply Finite difference method Theoretical and Applied Mechanics Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering

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