Thermomechanical Behavior of Thermoviscoelastic Solid during Dynamic Crack Propagation
Publication: Journal of Engineering Mechanics
Volume 127, Issue 7
Abstract
The constitutive relations of the thermoviscoelasticity are rigorously formulated, and the corresponding finite-element equations are derived. Due to the second law of thermodynamics, a nonlinear term, which appears in both the energy equation and the Clausius-Duhem inequality, is incorporated in the finite-element equations. This work is focused on the effect of this dissipative energy term on the stress and temperature field of an isotropic thermoviscoelastic solid during dynamic crack propagation through a finite-element analysis. The numerical solutions clearly demonstrate that the temperature elevates on the cracked surface in the wake of the advancing crack tip. This is the consequence of truthfully incorporating the second law of thermodynamics in the analysis of the dynamic process for materials that possess viscosity. Meanwhile, the effect of different crack propagation speeds on the stress and temperature distributions is also investigated.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 7 • July 2001
Pages: 672 - 677
History
Received: Jul 17, 2000
Published online: Jul 1, 2001
Published in print: Jul 2001
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