Numerical analysis of a strain-adaptive bone remodelling problem

DOI10.1016/j.cma.2010.01.005zbMath1231.74312OpenAlexW2058768955MaRDI QIDQ658747

José R. Fernández, Rebeca Martínez, Juan M. Viaño, José Manuel García-Aznar

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.01.005

zbMATH Keywords

error estimatesfinite elementsnumerical simulationsstrain-adaptivitybone remodelling

Mathematics Subject Classification ID

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

Related Items (7)

An existence and uniqueness result for a strain-adaptive bone remodeling problem ⋮ Numerical analysis of a bone remodeling model with damage ⋮ Numerical stability and convergence analysis of bone remodeling model ⋮ Numerical method for the bone regeneration model, defined within the evolving 2D axisymmetric physical domain ⋮ Numerical analysis of a piezoelectric bone remodelling problem ⋮ Computational evaluation of different numerical tools for the prediction of proximal femur loads from bone morphology ⋮ A unified mixture formulation for density and volumetric growth of multi-constituent solids in tissue engineering

Cites Work

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• Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments
• Bone remodelling. I: Theory of adaptive elasticity
• Bone remodeling. II: Small strain adaptive elasticity
• Analysis of a bone remodeling model
• Discrete maximum principle for finite-difference operators
• 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
• Shape Analysis of an Adaptive Elastic Rod Model
• A CLASS OF EVOLUTIONARY VARIATIONAL INEQUALITIES WITH APPLICATIONS IN VISCOELASTICITY

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