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Non‐linear bone remodelling: an existence and uniqueness result
Author(s) -
Trabucho L.
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(200010)23:15<1331::aid-mma168>3.0.co;2-y
Subject(s) - uniqueness , mathematics , elasticity (physics) , linear elasticity , mathematical economics , mathematical optimization , econometrics , mathematical analysis , finite element method , materials science , physics , composite material , thermodynamics
Several models have been proposed in order to be able to predict the correct density and stress distributions on long bones. Most of them are of an empiric and/or experimental nature. A few are related to optimization techniques, in the framework of elasticity theory. In this work, we establish an existence and uniqueness result for a modified Cowin–Hegedus model. This models is of great importance not only because it is one of the most sophisticated including a great number of the existing models, but also because it is set in the framework of adaptive elasticity theory giving a sound basis for the development of robust numerical methods. Copyright © 2000 John Wiley & Sons, Ltd.