Article PDF
Avoid common mistakes on your manuscript.
References
[1912] Evans, J. W., The geometry of twin crystals. Proc. Roy. Soc. Edinburgh 32, 416–457.
[1937] Coral, M., On the necessary conditions for the minimum of a double integral. Duke Math. J. 3, 585–592.
[1939] Graves, L. M., The Weierstrass condition for multiple integral variation problems. Duke Math. J. 5, 556–560.
[1952] Morrey, C. B. Jr., Quasi-convexity and the lower semicontinuity of multiple integrals. Pacific J. Math. 2, 25–53.
[1954] Bowles, J. S., & J. K. MacKenzie, The crystallography of martensite transformations, I and II. Acta Metallurgica 2, 129–147.
[1960] Truesdell, C., & R. Toupin, The Classical Field Theories. Handbuch der Physik. III/1. Berlin Göttingen Heidelberg: Springer.
[1965] Truesdell, C., & W. Noll, The Non-linear Field Theories of Mechanics. Handbuch der Physik. III/3. Berlin Heidelberg New York: Springer.
[1975] Christian, J. W., The Theory of Transformations in Metals and Alloys. An Advanced Textbook in Physical Metallurgy. Part I, Equilibrium and General Kinetic Theory. New York: Pergamon.
[1975] Eshelby, J. D., The elastic energy-momentum tensor. J. Elasticity 5, 321–335.
[1977] Ball, J. M., Convexity conditions and existence theorems in non-linear elasticity. Arch. Rational Mech. Anal. 63, 337–403.
[1977] Knowles, J. K., The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int. J. Fracture 13, 611–639.
[1978] Knowles, J. K., & E. Sternberg, On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. J. Elasticity 8, 329–379.
[1980] Parry, G. P., Twinning in nonlinearly elastic monatomic crystals. Int. J. Solids Structures 16, 275–281.
[1981] Ericksen, J., Continuous martensitic transitions in thermoelastic solids. J. Thermal Stresses 4, 107–119.
[1981] Gurtin, M. E., An Introduction to Continuum Mechanics. New York: Academic Press.
[1981] James, R., Finite deformation by mechanical twinning. Arch. Rational Mech. Anal. 77, 143–176.
[1982] Noll, W., Private communication.
[1982] Spear, K., Private communication.
Author information
Authors and Affiliations
Additional information
To J. L. Ericksen on his 60th birthday
Rights and permissions
About this article
Cite this article
Gurtin, M.E. Two-phase deformations of elastic solids. Arch. Rational Mech. Anal. 84, 1–29 (1983). https://doi.org/10.1007/BF00251547
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00251547