By Chao-Chen Wang

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Extra info for Field Equations for Thermoelastic Bodies with Uniform Symmetry: Acceleration Waves in Isotropic Thermoelastic Bodies

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8) we have Wa~! where ~ and be possible, i = -2 H .... 14) ~ are not summed. Hence in order that the wave H <~j~j. > must be positive. j ~t> in terms of the principal stretches and their derivatives. 15) 1 (a~~ at~) 2 1lb·- ab-A- ~f b~ = bj. , ~ where 11, J. are unequal free indices. 4. Displacement Derivative of the Amplitude Vector By definition, the displacement derivative of a field on a moving surface is the time derivative of that field along normal trajectories of the surface. 1) (I k • pr k • + \H pr 8 + Ho- tt- + aHk ax"' tr ~) • k + pb + • k • k p b = pa • k + ~a , 33 Displacement Derivative of the Amplitude Vector where 2 k'\'11 H,R.

3. Geometric Structure of a Smooth Thermoelastic Body with Uniform Symmetry............ 4. Field Equations•••••••••••• •••••••••••••••••••• 5 11 References•••••••••• ••••••••••••••••••••••• ••••••• 20 7 8 Part Two: Acceleration Waves in Isotropic Thermoelastic Bodies Preface•••••••••••••• ••••••••••••••••••••••• •••••• 21 2. The Characteristic Riemannian Metric........... 3. Propagation Conditions.......... 4. Displacement Derivative of the Amplitude Vector 24 27 32 References•••••••••• ••••••••••••••••••••••• ••••••• 39 Contents••••••••••••• ••••••••••••••••••••••• •••••• 41 1.

3. Geometric Structure of a Smooth Thermoelastic Body with Uniform Symmetry............ 4. Field Equations•••••••••••• •••••••••••••••••••• 5 11 References•••••••••• ••••••••••••••••••••••• ••••••• 20 7 8 Part Two: Acceleration Waves in Isotropic Thermoelastic Bodies Preface•••••••••••••• ••••••••••••••••••••••• •••••• 21 2. The Characteristic Riemannian Metric........... 3. Propagation Conditions.......... 4. Displacement Derivative of the Amplitude Vector 24 27 32 References•••••••••• ••••••••••••••••••••••• ••••••• 39 Contents••••••••••••• ••••••••••••••••••••••• •••••• 41 1.

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