Coexistent phases in nonlinear thermoelasticity: Radially symmetric equilibrium states of aeolotropic bodies

DOI10.1007/BF00042510zbMath0842.73006OpenAlexW2053647753MaRDI QIDQ1910631

Mikhail M. Shvartsman, Stuart S. Antman

Publication date: 19 May 1996

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042510

zbMATH Keywords

geometric constructionsphase-plane methodslinearly elastic materialstheory of asymptotically autonomous ordinary differential equations

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22)

Related Items (1)

Radially symmetric steady states of nonlinearly elastic plates and shells

Cites Work

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• On the driving traction acting on a surface of strain discontinuity in a continuum
• The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
• A continuum theory of elastic material surfaces
• The dynamics of solid-solid phase transitions. I: Coherent interfaces
• Transition to detonation in dynamic phase changes
• The shrink-fit problem for aeolotropic nonlinearly elastic bodies
• Kinetic relations and the propagation of phase boundaries in solids
• The nature of configurational forces
• Singular global bifurcation problems for the buckling of anisotropic plates
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity

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