On Stress Waves in Viscoelastic Media Conducting Heat
The theory of propagating surfaces of discontinuity is used to study one-dimensional stress waves in viscoelastic media which conduct heat. The constitutive laws for stress and entropy are derived from the specific free energy which is taken in the form of a functional expansion to the second order in strain and to the third order in temperature change. With the aid of these laws, relations are developed between the kinematical, mechanical and thermodynamical quantities at the wave front. Explicit expressions are established for both the velocity and the change of magnitude of the stress discontinuity as it propagates through the medium. The results include the effects of viscous damping, temperature-dependent material properties and thermomechanical coupling.
KeywordsWave Front Stress Wave Jump Condition Jump Discontinuity Viscoelastic Medium
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