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A note on the problem of pure bending for linear elastic materials with voids
Authors:S. C. Cowin
Affiliation:(1) Department of Biomedical Engineering, Tulane University, 70118 New Orleans, LA, U.S.A.
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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