Hostname: page-component-74656f9884-54qdv Total loading time: 0 Render date: 2026-11-10T13:19:48.173Z Has data issue: false hasContentIssue false
  • English
  • Français

A thermoelastic crack problem for an anisotropic slab

Published online by Cambridge University Press:  17 February 2009

D. L. Clements  and
T. R. Tauchert
D. L. Clements
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, S.A. 5000, Australia
T. R. Tauchert
Affiliation:
Department of Engineering Mechanics, University of Kentucky, Lexington, Kentucky, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

The problem of determining the temperature, displacement and stress fields around a single crack in an anisotropic slab is considered. The problem is reduced to Fredholm integral equations which may be solved numerically.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 2 , August 1979 , pp. 243 - 255
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Aköz, A. Y. and Tauchert, T. R., “Thermal stresses in an orthotropic elastic semispace”, J. Appl. Mech. 39 (1972), 87–90.CrossRefGoogle Scholar
[2]Atkinson, C. and Clements, D. L., “On some crack problems in anisotropic thermoelasticity”, Int. J. Solids Structs. 13 (1977), 855–864.CrossRefGoogle Scholar
[3]Chang, Y. P., “Analytical solution for heat conduction in an anisotropic media in infinite, semi-infinite and two-plane-bounded region”, Int. J. Heat Mass Transfer 20 (1977), 1019–1028.Google Scholar
[4]Clements, D. L., “A crack in an anisotropic elastic slab”, Quart. Appl. Math. 4 (1977), 437–443.CrossRefGoogle Scholar
[5]Clements, D. L., “A crack in an anisotropic layered material”, Engng. Trans. (to appear).Google Scholar
[6]Clements, D. L., “Thermal stress in an anisotropic elastic half-space”, SIAM J. Appl. Math. 24 (1973), 332–337.CrossRefGoogle Scholar
[7]Clements, D. L. and Tauchert, T. R., “Deformations of an anisotropic elastic slab containing a crack”, Acta Mechanica (to appear).Google Scholar
[8]Clements, D. L. and Toy, G. D., “Two contact problems in anisotropic thermoelasticity”, J. Elasticity 6 (1976), 137–147.CrossRefGoogle Scholar
[9]Sih, G. C., “On the singular character of thermal stresses near a crack tip”, J. Appl. Mech. 29 (1962), 587–589.CrossRefGoogle Scholar
[10]Spencer, A. J. M., Deformations of fibre-reinforced materials (O.U.P., 1972).Google Scholar
[11]Stroh, A. N., “Dislocations and cracks in anisotropic elasticity”, Phil. Mag. 3 (1958), 625–646.CrossRefGoogle Scholar
[12]Tauchert, T. R., “A review: quasistatic thermal stresses in anisotropic elastic bodies, with applications to composite materials”, Acta Mechanica 23 (1975), 113–135.CrossRefGoogle Scholar
[13]Tauchert, T. R. and Aköz, A. Y., “Stationary temperature and stress fields in an anisotropic elastic slab”, J. Appl. Mech. 42 (1975), 647–650.CrossRefGoogle Scholar