A convergence result in the study of bone remodeling contact problems

DOI10.1016/j.jmaa.2008.01.084zbMath1137.74042OpenAlexW2039351944MaRDI QIDQ924233

José R. Fernández, Isabel M. Narra Figueiredo, Rebeca Martínez

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/4580

zbMATH Keywords

variational inequalityweak solutionsSignorini conditionsnormal compliance

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Energy minimization in equilibrium problems in solid mechanics (74G65) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (1)

Numerical analysis of a contact problem including bone remodeling

Cites Work

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• Frictional contact problems with normal compliance
• Duality methods for solving variational inequalities
• Bone remodelling. I: Theory of adaptive elasticity
• Bone remodeling. II: Small strain adaptive elasticity
• An existence and uniqueness result in bone remodeling theory
• Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling
• Approximation of bone remodeling models
• Conical differentiability for bone remodeling contact rod models
• Existence and Uniqueness of a Solution to an Adaptive Elasticity Model
• Asymptotic Model of a Nonlinear Adaptive Elastic Rod
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• Shape Analysis of an Adaptive Elastic Rod Model

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