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Mathematics and Mechanics of Solids
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Internally Constrained Mixtures of Elastic Continua

Stephen M. Klisch

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA, USA

A treatment of internally constrained mixtures of elastic continua at a common temperature is developed. Internal constraints involving the deformation gradient tensors and the common mixture temperature are represented by a constraint manifold, and an internally constrained mixture of elastic continua is associated with each unique equivalence class of unconstrained mixtures. The example of intrinsic incompressibility of each constituent first proposed by Mills is discussed.

Mathematics and Mechanics of Solids, Vol. 4, No. 4, 481-498 (1999)
DOI: 10.1177/108128659900400405
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