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The Quarterly Journal of Mechanics and Applied Mathematics 1978 31(1):1-7; doi:10.1093/qjmam/31.1.1
© 1978 by Oxford University Press
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ON THE RELATIVE STRENGTHS OF INTRINSIC STABILITY CRITERIA

GARETH P. PARRY

( School of Mathematics, University of Bath )

The convexity of the internal energy, regarded as a function of any generalized coordinates, determines the classical stability of a material in a particular loading environment. The main content of the paper is a theorem which allows the comparison of such criteria of convexity for a far wider class of generalized coordinates than previously. Orthotropic material symmetry is assumed throughout.


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