A contact finite element formulation for biological soft hydrated tissues

DOI10.1016/S0045-7825(97)00065-0zbMath0957.74046OpenAlexW2150825354MaRDI QIDQ1962724

Robert L. Spilker, Peter S. Donzelli

Publication date: 25 March 2001

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00065-0

zbMATH Keywords

Lagrange multipliersiterative schemecontact surfacebiphasic descriptioncontact between layers of articular cartilageGalerkin weighted residual statementkinetic continuity equationsporous permeable solid matrix with fluid

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items

A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems ⋮ Separating fluid and solid contact constraints for hydro-mechanically coupled finite elements discretising fluid displacement ⋮ A hydro-mechanical coupled contact method for two-phase geotechnical large deformation problems within the SNS-PFEM framework ⋮ Development of a finite element contact analysis algorithm for charged-hydrated soft tissues with large sliding ⋮ An energetic approach to the analysis of anisotropic hyperelastic materials ⋮ Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-order adaptive methods for parabolic systems
• A perturbed Lagrangian formulation for the finite element solution of contact problems
• Adaptive local overlapping grid methods for parabolic systems in two space dimensions
• Improved accuracy in finite element analysis of Biot's consolidation problem
• An investigation of the stability of numerical solutions of Biot's equations of consolidation
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Adaptive finite element methods for diffusion and convection problems
• A mixed-penalty finite element formulation of the linear biphasic theory for soft tissues
• Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues
• Finite element formulation of large deformation impact-contact problems with friction
• Contact Mechanics
• Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
• Finite element methods for constrained problems in elasticity
• An augmented lagrangian treatment of contact problems involving friction
• A hybrid finite element formulation of the linear biphasic equations for hydrated soft tissue
• Automated adaptive analysis of the biphasic equations for soft tissue mechanics using a posteriori error indicators
• Automatic three‐dimensional mesh generation by the finite octree technique
• A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation
• Contact‐impact by the pinball algorithm with penalty and Lagrangian methods
• On stability and convergence of finite element approximations of Biot's consolidation problem
• A continuum‐based finite element formulation for the implicit solution of multibody, large deformation‐frictional contact problems
• An augmented Lagrangian method for discrete large‐slip contact problems
• Automation and Assessment of Augmented Lagrangian Algorithms for Frictional Contact Problems
• Elements of structural optimization.

This page was built for publication: A contact finite element formulation for biological soft hydrated tissues