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Stability of Deformation of an Elastic Layer

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Mechanics and Thermodynamics of Continua
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Abstract

Ericksen [1] proved all universal deformations of isotropic compressible elastic materials to be homogeneous. He also proved inhomogeneous universal deformations possible if the isotropic elastic material is incompressible (cf.Ericksen [2]). Recently, interest has grown in the study of inhomogeneous, not universal deformations of isotropic incompressible elastic materials. The importance of such deformations and the need to study is them discussed in some detail by Rajagopal & Carroll [3].

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Bibliography

  1. Ericksen, J. L., Deformations possible in every compressible isotropic perfectly elastic material, J. Math. Phys. 34, 126–128 (1955).

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Dedicated to Professor B. D. Coleman on his 60th Birthday

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© 1991 Springer-Verlag Berlin Heidelberg

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Chen, Y.C., Rajagopal, K.R. (1991). Stability of Deformation of an Elastic Layer. In: Markovitz, H., Mizel, V.J., Owen, D.R. (eds) Mechanics and Thermodynamics of Continua. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75975-8_12

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  • DOI: https://doi.org/10.1007/978-3-642-75975-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52999-6

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