THREE CASES OF RAPID CRACK EXTENSION IN A TRANSVERSELY ISOTROPIC COUPLED THERMOELASTIC SOLID
Titel:
THREE CASES OF RAPID CRACK EXTENSION IN A TRANSVERSELY ISOTROPIC COUPLED THERMOELASTIC SOLID
Auteur:
Brock, L. M.
Verschenen in:
Journal of thermal stresses
Paginering:
Jaargang 27 (2004) nr. 1 pagina's 75-94
Jaar:
2004-01
Inhoud:
A semi-infinite crack extends at a constant subcritical speed in a linear transversely isotropic, coupled thermoelastic solid under the action of shear and normal loads that move on the crack faces. The dynamic steady state is considered, in which the loads remain a fixed distance from the crack edge, and a vanishingly thin process zone is included at the edge. An exact transform solution to a related problem yields robust asymptotic expressions that reduce the extension problem to the analytical solution of standard integral equations. The process is aided by factorizations that render expressions, comparable in simplicity to corresponding isotropic results. Three cases are then treated in mode I: brittle fracture (no zone), Dugdale model fracture (zone as rudimentary plastic region), and cohesive traction model fracture (zone of variable traction). The two zone models are thermally inert. The fracture energy rates for the three cases are found to be well within the same order of magnitude for a given loading. Moreover, the temperature change ahead of the moving crack for the two zone models are similar and, except very near the crack/zone edge, comparable to the brittle-model predictions. These observations are illustrated via calculations for zinc.
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