Numerical solution for a nonlinear, one-dimensional problem of thermoelasticity
โ Scribed by E.K. Rawy; Labib Iskandar; A.F. Ghaleb
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 914 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
A numerical solution for a nonlinear, one-dimensional boundary-value problem of thermoelasticity for the elastic halfspace is presented. The resulting equations are discussed and the numerical method is investigated for stability. Comparison with other existing numerical schemes is carried out. The obtained results clearly indicate the process of shock formation. The presented figures show the effects of different nonlinear coupling constants on the distributions of the mechanical displacement and temperature in the medium. A special case is briefly discussed. (g) 1998 Elsevier Science B.V. All rights reserved.
๐ SIMILAR VOLUMES
Considering the Cauchy problem for a nonlinear system arising in thermoelasticity, it is proved that its solution develops singularities in finite time depending on the size and regularity of the initial data. The present work is distinguished from a previous work by relaxing the requirements on the