Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling

DOI10.1016/0020-7683(94)90178-3zbMath0811.73051OpenAlexW2031148182MaRDI QIDQ1328717

James J. Hamilton, Timothy P. Harrigan

Publication date: 2 August 1994

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(94)90178-3

zbMATH Keywords

global minimumconstant Poisson ratioconjugate state variablesremodeling stimulusvariational indicatorvolumetric density of calcified tissue

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (6)

Dynamical systems and topology optimization ⋮ Dynamical systems, SIMP, bone remodeling and time dependent loads ⋮ Open system peridynamics ⋮ Numerical analysis of a contact problem including bone remodeling ⋮ A convergence result in the study of bone remodeling contact problems ⋮ Nutrient modulated structural design with application to growth and degradation

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