A continuum and computational framework for viscoelastodynamics. III: A nonlinear theory (Q6595913)

scientific article; zbMATH DE number 7904392

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English	A continuum and computational framework for viscoelastodynamics. III: A nonlinear theory	scientific article; zbMATH DE number 7904392

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instance of

scholarly article

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title

A continuum and computational framework for viscoelastodynamics. III: A nonlinear theory (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

30 August 2024

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zbMATH Keywords

continuum mechanics

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constitutive modeling

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viscoelasticity

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hyperelasticity of Hill's class

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generalized strains

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Green-Naghdi plasticity

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MaRDI profile type

Publication

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cites work

A continuum and computational framework for viscoelastodynamics. I: Finite deformation linear models

0 references

Mullins' effect and the strain amplitude dependence of the storage modulus

0 references

A new viscoelastic constitutive model for continuous media at finite thermomechanical changes

0 references

A general theory of an elastic-plastic continuum

0 references

A critical review of the state of finite plasticity

0 references

A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations

0 references

Elastoplasticity beyond small deformations

0 references

On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects

0 references

Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material

0 references

Elastic-Plastic Deformation at Finite Strains

0 references

A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric

0 references

Q4083079

0 references

A theory of finite viscoelasticity and numerical aspects

0 references

The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity

0 references

Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen

0 references

On the origins of the idea of the multiplicative decomposition of the deformation gradient

0 references

Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip

0 references

Q5345685

0 references

Q4240330

0 references

Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation

0 references

Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory

0 references

Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids

0 references

Modeling viscoelastic dielectrics

0 references

A computationally efficient locking free numerical framework for modeling visco-hyperelastic dielectric elastomers

0 references

Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains

0 references

Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation

0 references

Modeling the anisotropic finite-deformation viscoelastic behavior of soft fiber-reinforced composites

0 references

A thermoviscoelastic model for amorphous shape memory polymers: incorporating structural and stress relaxation

0 references

A prescription for the identification of finite plastic strain

0 references

Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics

0 references

A Remark on the Use of the Decomposition F = FeFp in Plasticity

0 references

Some remarks on elastic-plastic deformation at finite strain

0 references

Plastic spin: Necessity or redundancy?

0 references

On the kinematics of finite strain plasticity

0 references

The decomposition \(\mathbf F = \mathbf F^{\text e}\mathbf F^{\text b}\), material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous

0 references

A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric

0 references

Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation

0 references

Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials.

0 references

A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures

0 references

A general framework for the numerical solution of problems in finite elasto-plasticity

0 references

On the formulation and numerical solution of problems in anisotropic finite plasticity

0 references

Energy consistent algorithms for dynamic finite deformation plasticity

0 references

Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill's family of generalized strain tensors

0 references

Multifield finite strain plasticity: theory and numerics

0 references

Aspects of Invariance in Solid Mechanics

0 references

On constitutive inequalities for simple materials. I

0 references

Nonlinear solid mechanics. A continuum approach for engineering

0 references

Geometry of logarithmic strain measures in solid mechanics

0 references

Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity

0 references

Relations between material, intermediate and spatial generalized strain measures for anisotropic multiplicative inelasticity

0 references

Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models

0 references

On the application of the additive decomposition of generalized strain measures in large strain plasticity

0 references

A family of metric strains and conjugate stresses, prolonging usual material laws from small to large transformations

0 references

Kinematics and kinetics modeling of thermoelastic continua based on the multiplicative decomposition of the deformation gradient

0 references

A new two-point deformation tensor and its relation to the classical kinematical framework and the stress concept

0 references

Hyperelastic energy densities for soft biological tissues: a review

0 references

A theorem of tensor calculus and its application to isotropic elasticity

0 references

Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form

0 references

Fitting hyperelastic models to experimental data

0 references

The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity

0 references

A robust algorithm for finding the eigenvalues and eigenvectors of \(3 \times 3\) symmetric matrices

0 references

A structure-preserving integrator for incompressible finite elastodynamics based on a Grad-div stabilized mixed formulation with particular emphasis on stretch-based material models

0 references

Constitutive modeling of the large strain time-dependent behavior of elastomers.

0 references

A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction

0 references

On a Variational Principle for Elastic Displacements and Pressure

0 references

An extension of Herrmann's principle to nonlinear elasticity

0 references

An energy-stable mixed formulation for isogeometric analysis of incompressible hyperelastodynamics

0 references

A continuum and computational framework for viscoelastodynamics. II: Strain-driven and energy-momentum consistent schemes

0 references

Q4355318

0 references

Viscoelastic up-scaling rank-one effects in in-silico modelling of electro-active polymers

0 references

Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation

0 references

An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity

0 references

Variational schemes and mixed finite elements for large strain isotropic elasticity in principal stretches: Closed‐form tangent eigensystems, convexity conditions, and stabilised elasticity

0 references

A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method

0 references

Identifiers

DOI

10.1016/j.cma.2024.117248

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Mathematics Subject Classification ID

74D10

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zbMATH DE Number

7904392

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Sitelinks

Mathematics(1 entry)

mardi Publication:6595913