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The Quarterly Journal of Mechanics and Applied Mathematics 1983 36(3):351-363; doi:10.1093/qjmam/36.3.351
© 1983 by Oxford University Press
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CERTAIN A PRIORI INEQUALITIES AND A PECULIAR ELASTIC MATERIAL{dagger}

J. ERNEST DUNN

( Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University Blacksburg, VA 24061, U.S.A. )

By means of a specific example material, which is both isotropic and hyperelastic, several well-known a priori constitutive inequalities in finite elasticity are shown to be insufficient to secure a physically realistic material response, i.e. each of these inequalities is compatible with unrealistic material behaviour.


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