A Nonlinear Theory of Viscoelasticity for Application to Elastomers

From MaRDI portal
Publication:3906541

DOI10.1115/1.3153787zbMath0456.73021OpenAlexW2010823668MaRDI QIDQ3906541

Richard M. Christensen

Publication date: 1980

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3153787




Related Items (81)

Alternative Kelvin viscoelastic procedure for finite elementsMesoscale constitutive modeling of non-crystallizing filled elastomersThe transient quasi-static plane viscoelastic moving load problemCollocation boundary value methods for auto-convolution Volterra integral equationsThe impact of a rigid axisymmetric indentor on a viscoelastic half-spaceFrameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. I: Continuum formulationsElastic waves in a material with chemomechanical reactionsTime dependent large principal deformation of polymersComputational modelling of thermoforming processes in the case of finite viscoelastic materialsA damage phase-field model for fractional viscoelastic materials in finite strainThree-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximationAn incremental relaxation finite element analysis of viscoelastic problems with contact and frictionA variational constitutive framework for the nonlinear viscoelastic response of a dielectric elastomerA non-local visco-elastic damage model and dynamic fracturingThe 3D wave equation and its Cartesian coordinate stretched perfectly matched embedding -- a time-domain Green's function performance analysisModeling and analysis of the transient response of viscoelastic solidsOn von Kármán equations for viscoelastic platesExponential energy decay estimate for the solutions of internally damped wave equation in a bounded domainNonlinear dynamics for transverse motion of axially moving stringsMacroscopic constitutive equations of thermo-poroviscoelasticity derived using eigenstrainsA physically based method to represent the thermo-mechanical behaviour of elastomersComplementary variational principles for generalized dynamic continuum modelsAnalysis of collocation methods for a class of third-kind auto-convolution Volterra integral equationsAntiplane dynamic crack propagation in a viscoelastic stripThe dynamic indentation and impact of a viscoelastic half-space by an axisymmetric rigid bodySolutions for a viscoelastic axisymmetric plane problem involving time-dependent boundary regions under mixed boundary conditionContinuous piecewise polynomial collocation methods for generalized auto-convolution Volterra integral equationsConstitutive relations describing creep deformation for multi-axial time- dependent stress statesSurface finite viscoelasticity and surface anti-plane wavesOn the time-dependent mechanics of membranes via the nonlinear finite element methodFast \(\theta\)-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysisOn the reflection of the generalized magneto-thermo-viscoelastic plane waves.Inhomogeneous waves in viscoelastic mediaAnalysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive modelsHomogenization of nonlinear visco-elastic compositesViscoelastic fracture of multiple cracks in functionally graded materials1D wave propagation in saturated viscous geomaterials: improvement and validation of a fractional step Taylor-Galerkin finite element algorithmCoupled viscoelastic-viscoplastic modeling of homogeneous and isotropic polymers: numerical algorithm and analytical solutionsNew method to generate three-point bounds on effective properties of composites: Application to viscoelasticityElastic and viscoelastic indentation of flat surfaces by pyramid indentorsComparative analysis of nonlinear viscoelastic models across common biomechanical experimentsA comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domainsA boundary element methodology for viscoelastic analysis: Part I with cellsA continuum and computational framework for viscoelastodynamics. I: Finite deformation linear modelsA Lagrangian particle method for the simulation of linear and nonlinear elastic models of soft tissuePhenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivativesPlane impact of a cracked viscoelastic bodyExtended Clapeyron formulae for viscoelasticity problems in the time domain and application to the boundary-condition effect in random composite bodiesAn application of the symplectic system in two-dimensional viscoelasticityA finite difference scheme for partial integro-differential equations with a weakly singular kernelResponse of frictional contact problems in thermo-rheologically complex structuresExistence of asymptotically almost periodic solutions for damped wave equationsComparison and minimum theorems in the time domain for viscoelasticity and other convolutive initial-boundary value problems with applications to random inhomogeneous materialsIdentification of the viscoelastic characteristics of an artificial neckAnalytical expressions for stress and displacement fields in viscoelastic axisymmetric plane problem involving time-dependent boundary regionsA numerical solution for the problem of an impacted fiber-reinforced viscoelastic half-spaceQuasilinear generalization of Onsager thermodynamicsModeling of nonlinear viscoelastic contact problems with large deformationsExtremum principles for linear initial-value problems of mathematical physicsThe hypergeometric Ansatz in viscoelasticityA viscoelastic constitutive modeling of rubber-like materials with the Payne effectPropagation of waves from a spherical cavity in an unbounded linear viscoelastic solidA note on plane wave propagation in a linear viscoelastic solidAn efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterialsThe viscoelastic behavior of short-fiber composite materialsViscoelastic up-scaling rank-one effects in in-silico modelling of electro-active polymersA class of non-isothermal viscoelastic fluidsA nonlinear viscoelastic model: The pseudo-linear modelThe correspondence principle of linear viscoelasticity for problems that involve time-dependent regionsSuperimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementationTheoretical and numerical analysis of third-kind auto-convolution Volterra integral equationsSignal velocity for transient waves in linear dissipative mediaUnnamed ItemExact controllability and boundary stabilization of flexural vibrations of an internally damped flexible space structure.Modeling viscoelastic response of particulate polymeric composites with high volume fractions of fillers.Evolution and resonances in the rotational motion of a viscoelastic planet in an elliptical orbitPlane dynamic crack propagation in a nonhomogeneous viscoelastic stripOn the general rolling contact problem for finite deformations of a viscoelastic cylinderExponential energy decay estimates for the solutions of \(n\)-dimensional Kirchhoff type wave equationCausality and viscoelastic boundary value problemsOn a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects




This page was built for publication: A Nonlinear Theory of Viscoelasticity for Application to Elastomers