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Mathematics and Mechanics of Solids
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Existence and Uniqueness of a Solution to an Adaptive Elasticity Model

J. Monnier

Laboratoire de Modilisation et Calcul (LMC-IMAG), BP 53, F-38041 Grenoble Cedex 9, France

L. Trabucho

C.M.A.F, Av. Prof Gama Pinto, 2, 1699 Lisboa Codex, Portugal

In this work, the authors study the existence and uniqueness of solutions to an adaptive elasticity model applied to bone remodeling. Specifically, the authors consider the model derived by Cowin and Hegedus directly from continuum mechanics theory. They use a fixed point argument to prove the existence of solutions and a straightforward adaptation of the Cowin and Nachlinger analysis to prove uniqueness.

Mathematics and Mechanics of Solids, Vol. 3, No. 2, 217-228 (1998)
DOI: 10.1177/108128659800300206
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