journal article·1985

One-dimensional structured phase transformations under prescribed loads

Jack Carr, Morton E. Gurtin, Marshall Slemrod

Journal of Elasticity· Volume 15· Issue 2
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Abstract

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Research context

OpenAlex topics: Microstructure and Mechanical Properties of Steels · Metallurgy and Material Forming · Material Properties and Failure Mechanisms

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References (10)

Show source-provided references
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2. Cahn, J.W. and J.E. Hilliard, Free energy of a nonuniform system. I. Interfacial free energy. J. Chem. Phys. 28 (1958) 258?267.10.1063/1.1744102 ↗
3. Toupin, R.A., Elastic materials with couple-stresses. Arch. Rational Mech. Anal 11 (1962) 385?414.10.1007/BF00253945 ↗
4. Hale, J.K., Ordinary Differential Equations, Wiley Interscience, New York (1969).
5. Chafee, N., Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions. J. Diff. Eqts. 18 (1975) 111?134.10.1016/0022-0396(75)90084-4 ↗
6. Ericksen, J.L., Equilibrium of bars. J. Elasticity 5 (1975) 191?201.10.1007/BF00126984 ↗
7. Arnold, V., Mathematical Methods of Classical Mechanics, Springer Verlag, Berlin (1978).10.1007/978-1-4757-1693-1 ↗
8. Casten, R.G. and C.J. Holland, Instability results for reaction diffusion equations with Neumann boundary conditions. J. Diff. Eqts 27 (1978) 266?273.10.1016/0022-0396(78)90033-5 ↗
9. Matano, H., Asymptotic behavior and stability of solutions of semilinear diffusion equations. Publ. RIMS, Kyoto Univ. 15 (1979) 401?454.10.2977/prims/1195188180 ↗
10. Rowlinson, J.S., Translation of J.D. van der Waals' ?The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density?. J. Stat. Phys 20 (1979) 197?244.10.1007/BF01011513 ↗