Conservation-Laws in Anisotropic Elasticity .2. Extension and Application to Thermoelasticity
Journal
Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences
Journal Volume
443
Journal Issue
1917
Pages
153-161
Date Issued
1993
Author(s)
Abstract
Abstract The conservation laws in anisotropic elasticity developed in an accompanying paper are extended to include steady-state thermal elasticity. The conservation laws proposed in this paper lead to integrals that do not contain area integration and are path-independent. In addition to the extended J- and M-integrals of J. K. Knowels and E. Sternberg, also derived are path-independent contour integrals that yield directly the stress intensity factors when evaluated over contours enclosing a crack. The path-independent integral representations of the stress intensity factors are used to obtain closed form solutions for a finite crack in an unbounded thermoelastic medium subject to arbitrary thermal conditions on the crack faces.
SDGs
Type
journal article