Weak shock waves in isotropic solids at finite temperatures up to the melting point

DOI10.1007/S00161-006-0033-6zbMath1160.74370OpenAlexW2070010154MaRDI QIDQ1018442

H. Suzumura, Masaru Sugiyama, Carmela Currò, Giovanna Valenti

Publication date: 20 May 2009

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-006-0033-6

zbMATH Keywords

entropy productionthermal effectsRankine-Hugoniot conditionweak shock waves isotropic solids

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05)

Related Items (3)

Shocks and acceleration waves in modern continuum mechanics and in social systems ⋮ Propagation of an acceleration wave in layers of isotropic solids at finite temperatures ⋮ Weak shock waves and shear bands in thermoelastic solids

Cites Work

• Symmetric form of nonlinear mechanics equations and entropy growth across a shock
• Acceleration waves analyzed by a new continuum model of solids incorporating microscopic thermal vibrations
• Statistical-Thermodynamic Study of Nonequilibrium Phenomena in Three-Dimensional Anharmonic Crystal Lattices: II. Continuum Approximation of the Basic Equations
• Statistical-Thermodynamic Study of Nonequilibrium Phenomena in Three-Dimensional Anharmonic Crystal Lattices: III. Linear Waves
• Hyperbolicity, convexity and shock waves in one-dimensional crystalline solids
• Statistical-Thermodynamic Study of Nonequilibrium Phenomena in Three-Dimensional Anharmonic Crystal Lattices: I. Microscopic Basic Equations
• Systems of Conservation Equations with a Convex Extension
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