A monolithic finite element approach using high-order schemes in time and space applied to finite strain thermo-viscoelasticity
type: Item
instance of: scholarly article
title: A monolithic finite element approach using high-order schemes in time and space applied to finite strain thermo-viscoelasticity
zbMATH Open document ID: 1443.74265
author: Torben Netz
author: S. Hartmann
publication date: 2020-10-11T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 80A19
zbMATH DE Number: 7258632
zbMATH Keywords: differential-algebraic equations
zbMATH Keywords: thermo-viscoelasticity
zbMATH Keywords: high-order time-integration
zbMATH Keywords: p-version finite element analysis
MaRDI profile type: Publication
full work available at URL: j.camwa.2015.03.030
OpenAlex ID: W234670547
cites work: Experimental validation of high-order time integration for non-linear heat transfer problems
cites work: A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
cites work: A physically based method to represent the thermo-mechanical behaviour of elastomers
cites work: Entropy elasticity of isotropic rubber-like solids at finite strains
cites work: On a consistent hourglass stabilization technique to treat large inelastic deformations and thermo-mechanical coupling in plane strain problems
cites work: Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates
cites work: Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
cites work: A theory of large-strain isotropic thermoplasticity based on metric transformation tensors
cites work: Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation
cites work: \(p\)-FEM applied to finite isotropic hyperelastic bodies.
cites work: High‐order finite elements compared to low‐order mixed element formulations
cites work: Q4000182
cites work: Computing with hp-ADAPTIVE FINITE ELEMENTS
cites work: On volumetric locking‐free behaviour of p‐version finite elements under finite deformations
cites work: Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM
cites work: \(p\)-FEM for finite deformation powder compaction
cites work: Isogeometric Analysis
cites work: An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates
cites work: Locking Effects in the Finite Element Approximation of Plate Models
cites work: On Locking and Robustness in the Finite Element Method
cites work: FORMULATION OF GEOMETRICALLY NON-LINEAR PROBLEMS IN THE SPATIAL REFERENCE FRAME
cites work: Artery active mechanical response: high order finite element implementation and investigation
cites work: Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains
cites work: High-order FEMs for thermo-hyperelasticity at finite strains
cites work: Q4377707
cites work: Remarks on the interpretation of current nonlinear finite element analyses as differential-algebraic equations
cites work: Computation in finite-strain viscoelasticity: finite elements based on the interpretation as differential-algebraic equations
cites work: A thermomechanically consistent constitutive model for polyoxymethylene. Experiments, material modelling and computation
cites work: On plastic incompressibility within time-adaptive finite elements combined with projection techniques
cites work: High-order time integration applied to metal powder plasticity
cites work: Q4714145
cites work: Finite element analysis of viscoelastic structures using Rosenbrock-type methods
cites work: Rosenbrock-type methods applied to finite element computations within finite strain viscoelasticity
cites work: A stiffly accurate Rosenbrock-type method of order 2 applied to FE-analyses in finite strain viscoelasticity
cites work: Comparison of diagonal-implicit, linear-implicit and half-explicit Runge-Kutta methods in nonlinear finite element analyses
cites work: Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
cites work: Higher-order accurate implicit time integration schemes for transport problems
cites work: Q4490850
cites work: Finite and spectral cell method for wave propagation in heterogeneous materials
cites work: Decomposition of deformation and representation of the free energy function for isotropic thermoelastic solids
cites work: Constitutive modelling in finite thermoviscoplasticity: A physical approach based on nonlinear rheological models
cites work: The simple tension problem at large volumetric strains computed from finite hyperelastic material laws
cites work: Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
cites work: Q4840184
cites work: Nichtlineare Finite-Element-Methoden
cites work: Q3773481
cites work: A multilevel Newton algorithm with macromodeling and latency for the analysis of large-scale nonlinear circuits in the time domain
cites work: Newton‐Type Decomposition Methods for Equations Arising in Network Analysis
cites work: A remark on the application of the Newton-Raphson method in nonlinear finite element analysis
cites work: A Newton-Schur alternative to the consistent tangent approach in computational plasticity
cites work: Verification and validation in computational engineering and science: basic concepts
cites work: Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients
cites work: Q4269241
cites work: Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
cites work: High-order quasi-static finite element computations in space and time with application to finite strain viscoelasticity
cites work: Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: experimental identification and numerical verification
DOI: 10.1016/J.CAMWA.2015.03.030
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7258632