A continuum and computational framework for viscoelastodynamics. I: Finite deformation linear models
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Publication:2237794
DOI10.1016/j.cma.2021.114059zbMath1502.74020arXiv2101.10439OpenAlexW3122526065MaRDI QIDQ2237794
Alison L. Marsden, Ju Liu, Marcos Latorre
Publication date: 28 October 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.10439
nonlinear stabilitycontinuum mechanicsviscoelasticityGibbs free energyisogeometric analysisincompressible solids
Linear constitutive equations for materials with memory (74D05) Theory of constitutive functions in solid mechanics (74A20)
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A reduced unified continuum formulation for vascular fluid-structure interaction ⋮ A structure-preserving integrator for incompressible finite elastodynamics based on a Grad-div stabilized mixed formulation with particular emphasis on stretch-based material models ⋮ A continuum and computational framework for viscoelastodynamics. II: Strain-driven and energy-momentum consistent schemes
Cites Work
- Unnamed Item
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- The numerical implementation of invariant-based viscoelastic formulations at finite strains. An anisotropic model for the passive myocardium
- Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains
- A formulation to model the nonlinear viscoelastic properties of the vascular tissue
- Robustness of isogeometric structural discretizations under severe mesh distortion
- \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
- Historical review of internal state variable theory for inelasticity
- Isogeometric analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements
- On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- On non-physical response in models for fiber-reinforced hyperelastic materials
- A theory of coupled diffusion and large deformation in polymeric gels
- An anisotropic viscoelastic fibre-matrix model at finite strains: continuum formulation and computational aspects
- On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
- On the linear theory of viscoelasticity
- The thermodynamics of elastic materials with heat conduction and viscosity
- Mullins' effect and the strain amplitude dependence of the storage modulus
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- Convexity conditions and existence theorems in nonlinear elasticity
- Computational inelasticity
- A theory of finite viscoelasticity and numerical aspects
- Energy consistent algorithms for dynamic finite deformation plasticity
- Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
- A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis.
- A unified approach to compressible and incompressible flows
- An analysis of the stress formula for energy-momentum methods in nonlinear elastodynamics
- A comparative study of different sets of variables for solving compressible and incompressible flows
- A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction
- An energy-momentum time integration scheme based on a convex multi-variable framework for non-linear electro-elastodynamics
- The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations
- A robust and efficient iterative method for hyper-elastodynamics with nested block preconditioning
- Constitutive theories for thermoelastic solids in Lagrangian description using Gibbs potential
- A general theory of an elastic-plastic continuum
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
- Approximation of incompressible large deformation elastic problems: some unresolved issues
- A micro-macro approach to rubber-like materials. II: The micro-sphere model of finite rubber viscoelasticity
- On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy
- Some remarks on elastic-plastic deformation at finite strain
- Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations
- \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
- Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation
- Order reduction in computational inelasticity: Why it happens and how to overcome it-The ODE-case of viscoelasticity
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- IsoGeometric Analysis: Stable elements for the 2D Stokes equation
- Foundations of Linear Viscoelasticity
- A variational formulation of constitutive models and updates in non-linear finite viscoelasticity
- Nonlinear Constitutive Laws in Viscoelasticity
- A Nonlinear Theory of Viscoelasticity for Application to Elastomers
- Numerical models of steady rolling for non‐linear viscoelastic structures in finite deformations
- A computational model for generalized inelastic materials at finite strains combining elastic, viscoelastic and plastic material behaviour
- Isogeometric Analysis
- Local and global smoothing of discontinuous finite element functions using a least squares method
- A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
- ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS
- Mathematical Modeling of the Vascular System
- Elastic-Plastic Deformation at Finite Strains
- On the calculation of consistent stress distributions in finite element approximations
- Thermomechanical analysis of viscoelastic solids
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
- An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
- Large strain viscoelastic constitutive models.
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