Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction

DOI10.1007/BF00375642zbMath0806.73004OpenAlexW2044864676MaRDI QIDQ1337965

James K. Knowles, Rohan C. Abeyaratne

Publication date: 21 February 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375642

zbMATH Keywords

initial value problemkinetic relationshock wavessolid-solid phase transitionsHelmholtz free-energy potentialone-dimensional thermoelastic solid

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15)

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Cites Work

• On the driving traction acting on a surface of strain discontinuity in a continuum
• On the dissipative response due to discontinuous strains in bars of unstable elastic material
• A continuum model of a thermoelastic solid capable of undergoing phase transitions
• Equilibrium of bars
• A one-dimensional continuum model for shape-memory alloys
• Kinetic relations and the propagation of phase boundaries in solids