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The Quarterly Journal of Mechanics and Applied Mathematics 1990 43(2):215-221; doi:10.1093/qjmam/43.2.215
© 1990 by Oxford University Press
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POLYCONVEXITY AND STABILITY OF EQUILIBRIA IN NONLINEAR ELASTICITY

ZHANG KEWEI

( Department of Mathematics, Peking University Beijing, 100871 China Department of Mathematics, Heriot-Watt University Riccarton, Edinburgh EH14 4AS )

This note establishes a stability result for C1 weak solutions to the equilibrium equations of nonlinear elasticity under the constitutive assumption of strict polyconvexity. That is, for a large class of polyconvex stored-energy functions all C1 weak equilibria are strong local minimizers with respect to variations of sufficiently small support.


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