Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues
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Publication:1267922
DOI10.1016/S0045-7825(97)82246-3zbMath0920.73350OpenAlexW2074133632MaRDI QIDQ1267922
Robert L. Spilker, Edgard S. Almeida
Publication date: 13 October 1998
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)82246-3
Newton-Raphson methodimplicit finite difference schemefinite deformationincompressible inviscid fluidHelmholtz free energyCauchy-Green deformation tensorarticular cartilagediarthrodial jointsstrain-dependent permeability
Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)
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Cites Work
- Unnamed Item
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- Remarks on rate constitutive equations for finite deformation problems: Computational implications
- Theories of immiscible and structured mixtures
- Finite element formulation for transient pore pressure dissipation: A variational approach
- Mechanics of continuous porous media
- Incompressible porous media models by use of the theory of mixtures
- Nonlinear transient phenomena in saturated porous media
- Implicit-explicit schemes for nonlinear consolidation
- A theory of finite elastic consolidation
- Finite element implementation of incompressible, transversely isotropic hyperelasticity
- A contact finite element formulation for biological soft hydrated tissues
- An introduction to continuum mechanics
- The thermochemistry of a reacting mixture of elastic materials with diffusion
- Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
- A mixed-penalty finite element formulation of the linear biphasic theory for soft tissues
- An investigation of numerical errors in the analysis of consolidation by finite elements
- Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues
- Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models
- Evaluation of higher order, mixed and Hermitean finite element procedures for dynamic analysis of saturated porous media using one-dimensional models
- A hybrid finite element formulation of the linear biphasic equations for hydrated soft tissue
- A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation
- CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
- Continuum Theories of Mixtures: Applications
- Non-linear seismic response and liquefaction
- Hybrid and mixed‐penalty finite elements for 3‐D analysis of soft hydrated tissue
- Flow of compressible fluid in porous elastic media