On second sound in materials with memory

DOI10.1007/BF01590647zbMath0218.73007OpenAlexW2043702702MaRDI QIDQ2546777

Peter J. Chen, Morton E. Gurtin

Publication date: 1970

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01590647

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Theory of constitutive functions in solid mechanics (74A20)

Related Items (16)

Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids ⋮ Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations ⋮ Thermodynamic constraints for constitutive equations in thermoviscoelasticity: New relationships between cross effects ⋮ Hyperbolic compressible Navier-Stokes equations ⋮ Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations ⋮ Mathematical and physical aspects of the solution to the Cauchy problem for a time‐nonlocal model of thermoelasticity theory ⋮ The Stefan problem for a hyperbolic heat equation ⋮ Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion ⋮ Jump relations and discontinuity waves in conductors with memory ⋮ Heat waves ⋮ On the thermodynamics of nonlinear single integral representations for thermoviscoelastic materials with applications to one-dimensional wave propagation ⋮ On plane waves in generalized thermoelasticity ⋮ Propagation of mechanical and temperature acceleration waves in thermoelastic materials ⋮ On the constitutive relations for second sound in elastic solids ⋮ On thermoelastic transients in a general theory of heat conduction with finite wave speeds ⋮ Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws

Cites Work

• The thermodynamics of elastic materials with heat conduction and viscosity
• An axiomatic foundation for continuum thermodynamics
• A generalized dynamical theory of thermoelasticity
• A general theory of heat conduction with finite wave speeds
• A fading memory hypothesis which suffices for chain rules
• On the growth and decay of one-dimensional temperature rate waves
• Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves
• Dynamic coupled problem of thermoelasticity for a half-space taking account of the finiteness of the heat propagation velocity

This page was built for publication: On second sound in materials with memory