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.
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References
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[1] Cowin, S. C. and Hegedus, D. H.: Bone remodeling i: A theory of adaptive elasticity. J. Elasticity, 6(3), 313-326 (1976).
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[2] Hegedus, D. H. and Cowin, S. C.: Bone remodeling ii: Small strain adaptative elasticity. J. Elasticity, 6(4), 337-352 (1976).
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[3] Cowin, S. C. and Nachlinger, R. R.: Bone remodeling iii: Uniqueness and stability in adaptative elasticity theory. J. Elasticity, 8(3), 285-295 (1978).
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