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On the existence of an elastic potential for a simple material without memory

Sternberg, Eli and Knowles, J. K. (1979) On the existence of an elastic potential for a simple material without memory. Archive for Rational Mechanics and Analysis, 70 (1). pp. 19-30. ISSN 0003-9527. doi:10.1007/BF00276379.

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It is shown that a compressible elastic body — not necessarily homogeneous or isotropic — is hyperelastic provided the work done by all external forces acting on an arbitrary part of the body vanishes for every sufficiently smooth cyclic motion in which each material point returns to its initial position with a velocity equal to its initial velocity.

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Additional Information:© 1979 Springer. Received February 24, 1978. The results communicated in this paper were obtained in the course of an investigation supported by Contract N00014-75-C-0196 with the Office of Naval Research in Washington, D.C.
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Office of Naval Research (ONR)N00014-75-C-0196
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ID Code:62366
Deposited By: Tony Diaz
Deposited On:24 Nov 2015 19:09
Last Modified:10 Nov 2021 23:01

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