Application of the natural element method to finite deformation inelastic problems in isotropic and fiber-reinforced biological soft tissues

DOI10.1016/j.cma.2007.12.018zbMath1194.74535OpenAlexW2079523731WikidataQ62700904 ScholiaQ62700904MaRDI QIDQ995293

Begoña Calvo, Manuel Doblaré, M. A. Martínez, Estefanía Peña

Publication date: 13 September 2010

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.2007.12.018

zbMATH Keywords

continuum damage mechanicsinternal variablesviscoelasticityfinite strainshyperelasticitynatural element method

Mathematics Subject Classification ID

Related Items (6)

Upper-bound limit analysis based on the natural element method ⋮ A rate dependent directional damage model for fibred materials: application to soft biological tissues ⋮ Hyperelasticity and the radial point interpolation method via the Ogden model ⋮ Application of NEM in seepage analysis with a free surface ⋮ On the Mullins effect and hysteresis of fibered biological materials: a comparison between continuous and discontinuous damage models ⋮ A complex variable EFG method for hyperelastic large deformation analysis under non-conservative loads

Cites Work

• Unnamed Item
• Consistent tangent operators for rate-independent elastoplasticity
• On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
• An analytical expression and an algorithm for the volume of a convex polyhedron in \(R^ n\).
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• Computational inelasticity
• Meshless methods: An overview and recent developments
• Finite element implementation of incompressible, transversely isotropic hyperelasticity
• Natural element meshless simulation of flows involving short fiber suspensions.
• Overview and recent advances in natural neighbour Galerkin methods
• A meshless local natural neighbor interpolation method for two-dimension incompressible large deformation analysis
• An anisotropic visco-hyperelastic model for ligaments at finite strains. Formulation and computational aspects
• Three-dimensional simulation of aluminium extrusion by the \(\alpha\)-shape based natural element method
• Structural damage models for fibrous biological soft tissues
• Meshless methods with application to metal forming
• Computational modelling of diarthrodial joints. Physiological, pathological and pos-surgery simulations
• On the employ of meshless methods in biomechanics
• An uncoupled directional damage model for fibred biological soft tissues. Formulation and computational aspects
• On finite-strain damage of viscoelastic-fibred materials. Application to soft biological tissues
• A vector identity for the Dirichlet tessellation
• The natural element method in solid mechanics
• C1natural neighbor interpolant for partial differential equations
• Three-dimensional alpha shapes
• Imposing essential boundary conditions in the natural element method by means of density-scaled?-shapes
• Modelling three-dimensional piece-wise homogeneous domains using theα-shape-based natural element method
• On the numerical treatment of initial strains in biological soft tissues
• Updated Lagrangian free surface flow simulations with natural neighbour Galerkin methods
• On solving large strain hyperelastic problems with the natural element method
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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