Numerical stability and convergence analysis of bone remodeling model

DOI10.1016/j.cma.2013.12.014zbMath1296.74064OpenAlexW1975415400MaRDI QIDQ460820

J. Herrera, D. Rodríguez-Gómez

Publication date: 9 October 2014

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.2013.12.014

zbMATH Keywords

error estimatesdead zonefinite element analysisbone adaptationnumerical simulations/convergencestrain-adaptivity

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Cites Work

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• Numerical analysis of a strain-adaptive bone remodelling problem
• Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity
• Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments
• A model for mechanical adaptation of trabecular bone incorporating cellular accommodation and effects of microdamage and disuse
• Numerical analysis and simulations of a dynamic frictionless contact problem with damage
• A CLASS OF EVOLUTIONARY VARIATIONAL INEQUALITIES WITH APPLICATIONS IN VISCOELASTICITY

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