One-dimensional structured phase transformations under prescribed loads

DOI10.1007/BF00041988zbMath0581.73020OpenAlexW2036754574MaRDI QIDQ1067820

Jack Carr, Morton E. Gurtin, Marshall Slemrod

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00041988

zbMATH Keywords

unstablestored energybounded one-dimensional elastic bodynon-constant solutionsone-dimensional structured phase transformationsprescribed loadsstress-strain law

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of control systems (93D99)

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Cites Work

• Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
• Elastic materials with couple-stresses
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
• Equilibrium of bars
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