Abstract
This is the third in a series of papers dealing with deformations of homogeneous, isotropic elastic bodies that are subject to Bell’s constraint tr V = 3, where V is the left Cauchy—Green stretch tensor. We call such materials Bell materials. Although Bell discovered this constraint in experimental studies in the context of finite strain plasticity, the constraint is strictly kinematical. In consequence, we have studied the constraint in the context of finite elasticity and examined its implications there. The results, however, when reviewed in the context of Bell’s experiments, were unexpected and remarkable. We were able to predict accurately formulae found by Bell in very many earlier experiments.
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Dedicated to Paul M. Naghdi on the occasion of his 70th birthday
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Beatty, M.F., Hayes, M.A. (1995). Deformations of an elastic, internally constrained material Part 3: Small superimposed deformations and waves. In: Casey, J., Crochet, M.J. (eds) Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9229-2_5
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DOI: https://doi.org/10.1007/978-3-0348-9229-2_5
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