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A Constitutive Law for Anisotropic Stress Adaptive Bone Remodeling
Author(s) -
Nackenhorst U.,
Krstin N.,
Lammering R.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801471
Subject(s) - anisotropy , isotropy , constitutive equation , cauchy stress tensor , computation , bone remodeling , stress (linguistics) , cauchy elastic material , tensor (intrinsic definition) , modulus , materials science , mechanics , classical mechanics , physics , mathematics , finite element method , geometry , thermodynamics , composite material , medicine , optics , linguistics , philosophy , algorithm
A constitutive theory for stress adaptive bone remodeling based on energetic and thermodynamic considerations is presented. The constitutive theory leads to important conclusions about unknown model parameters, such as the relationship between the bone density and the Young modulus of bones tissue. The isotropic theory is extended to anisotropy by use of a fabric tensor description and a strategy for the numerical computation of anisotropic bone remodeling is suggested.