Multiphasic intervertebral disc mechanics: theory and application
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Publication:503875
DOI10.1007/s11831-012-9073-1zbMath1354.92008OpenAlexW2000391434WikidataQ113323876 ScholiaQ113323876MaRDI QIDQ503875
Publication date: 24 January 2017
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11831-012-9073-1
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Cites Work
- Advances in modelling saturated soft biological tissues and chemically active gels
- A mathematical theory of the mechanical behavior of continuous media
- Consistent tangent operators for rate-independent elastoplasticity
- Multi-segment FEA of the human lumbar spine including the heterogeneity of the annulus fibrosus
- A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and application
- A stable finite element for the Stokes equations
- The thermodynamics of elastic materials with heat conduction and viscosity
- Incompressible porous media models by use of the theory of mixtures
- Toward finite theories of liquid-saturated elasto-plastic porous media
- Kinematics of deformation processes in materials subjected to finite elastic-plastic strains
- A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions I: Scalar-valued isotropic functions
- A numerical solution of the Navier-Stokes equations using the finite element technique
- On representations for isotropic functions. I: Isotropic functions of symmetric tensors and vectors. II: Isotropic functions of skew-symmetric tensors, symmetric tensors, and vectors
- Convexity conditions and existence theorems in nonlinear elasticity
- Effects of fixed charges on the stress-relaxation behavior of hydrated soft tissues in a confined compression problem
- A theory of finite viscoelasticity and numerical aspects
- The description, classification, and reality of material and physical symmetries
- On the thermodynamics of a mixture of isotropic materials with constraints
- A validation of the quadriphasic mixture theory for intervertebral disc tissue
- A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function
- Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
- Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
- Mixed finite element modelling of cartilaginous tissues
- Tensors which characterize anisotropies
- A polyconvex framework for soft biological tissues. Adjustment to experimental data
- Parallel Krylov methods and the application to 3-d simulations of a triphasic porous media model in soil mechanics
- Incompressible mixtures of Newtonian fluids
- On the inclusion of the complete symmetry group in the unimodular group
- On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
- Method of Lagrange multipliers for exploitation of the entropy principle
- A new definition of a fluid. II. The Maxwellian fluid
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Remarks on the interpretation of current non‐linear finite element analyses as differential–algebraic equations
- A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems
- A general polyconvex strain-energy function for fiber-reinforced materials
- Parallel Solution Methods for Porous Media Models in Biomechanics
- A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
- A multilevel Crout ILU preconditioner with pivoting and row permutation
- Numerical solution of saddle point problems
- Non-linear finite element analysis of mechanical electrochemical phenomena in hydrated soft tissues based on triphasic theory
- Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Mixed and Hybrid Finite Element Methods
- On Irreducible Representations for Isotropic Scalar Functions
- 3D FE implementation of an incompressible quadriphasic mixture model
- On discontinuous Galerkin methods
- The computer as von Neumann planned it
- Triphasic finite element model for swelling porous media
- Elastic-Plastic Deformation at Finite Strains
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
- Large elastic deformations of isotropic materials IV. further developments of the general theory
- Isotropic integrity bases for vectors and second-order tensors
- A new constitutive framework for arterial wall mechanics and a comparative study of material models
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