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A note on the problem of pure bending for linear elastic materials with voids

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Abstract

This note concerns the problem of quasi-static pure bending of a beam in the context of the complete theory of linear elastic materials with voids presented in [1]. It is shown here that the solution in the context of the complete theory of [1] is coincident with the pure bending solution of classical elasticity for small time, and that the solution for large time is the bending solution given in [1], a solution which neglected the rate effect in the complete theory of [1]. In between these two limit solutions the rate effect moderates a monotonic transition.

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References

  1. S.C. Cowin and J.W. Nunziato, Linear elastic materials with voids, J. Elasticity 13 (1983) 125.

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  2. J.W. Nunziato and S.C. Cowin, A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal. 72 (1979) 175.

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  3. S.C. Cowin and P. Puri, The classical pressure vessel problems for linear elastic materials with voids, J. Elasticity 13 (1983) 157.

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  6. P. Puri and S.C. Cowin, Plane waves in linear elastic materials with voids, J. Elasticity, in press (accepted December 7, 1983).

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Cowin, S.C. A note on the problem of pure bending for linear elastic materials with voids. J Elasticity 14, 227–233 (1984). https://doi.org/10.1007/BF00041670

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  • DOI: https://doi.org/10.1007/BF00041670

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