Comparison of two algorithms for the computation of fourth-order isotropic tensor functions
From MaRDI portal
Publication:4241462
DOI10.1016/S0045-7949(97)00073-4zbMath0929.74128WikidataQ127179062 ScholiaQ127179062MaRDI QIDQ4241462
Publication date: 27 January 2000
Published in: Computers & Structures (Search for Journal in Brave)
eigenvectorsexponential mapisotropic elasticitylarge strain elasticityisotropic elastoplasticityderivatives of symmetric second-order isotropic tensor functionssecond-order eigenvaluesymmetric second-order tensor argument
Related Items (39)
Updating strategy of a domain decomposition preconditioner for parallel solution of dynamic fracture problems ⋮ Galerkin-based mechanical integrators for finite elastodynamics formulated in principal stretches - Pitfalls and remedies ⋮ A phase field model of electromechanical fracture ⋮ Identification of fracture models based on phase field for crack propagation in heterogeneous lattices in a context of non-separated scales ⋮ A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns ⋮ On the representation and implicit integration of general isotropic elastoplasticity based on a set of mutually orthogonal unit basis tensors ⋮ Molecular dynamics inferred transfer learning models for finite‐strain hyperelasticity of monoclinic crystals: Sobolev training and validations against physical constraints ⋮ Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation ⋮ On the numerical integration of three-invariant elastoplastic constitutive models. ⋮ A simple spectral representation of a second-order symmetric tensor and its variation ⋮ Moment-based, univariate \(n\)-point quadrature rules in application to the full network model of rubber elasticity ⋮ Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration ⋮ Non-associated reuleaux plasticity: analytical stress integration and consistent tangent for finite deformation mechanics ⋮ A generalized orthotropic hyperelastic material model with application to incompressible shells ⋮ A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits ⋮ A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains ⋮ Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill's family of generalized strain tensors ⋮ Topology optimization for brittle fracture resistance ⋮ A phase-field formulation for dynamic cohesive fracture ⋮ On the use of domain-based material point methods for problems involving large distortion ⋮ On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity ⋮ A new phase field fracture model for brittle materials that accounts for elastic anisotropy ⋮ Some remarks on the compressed matrix representation of symmetric second-order and fourth-order tensors ⋮ An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis ⋮ Formulation and implementation of strain rate-dependent fracture toughness in context of the phase-field method ⋮ Derivatives on the isotropic tensor functions ⋮ Isogeometric collocation for phase-field fracture models ⋮ Prediction of stored energy in polycrystalline materials during cyclic loading ⋮ Robust numerical analysis of homogeneous and non-homogeneous deformations ⋮ A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric ⋮ Overcoming volumetric locking in material point methods ⋮ A Newton-Schur alternative to the consistent tangent approach in computational plasticity ⋮ Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation ⋮ Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture ⋮ On the theory of fourth-order tensors and their applications in computational mechanics ⋮ On the theory of fourth‐order tensors and their application in large strain elasticity ⋮ Representations of m-linear functions on tensor spaces: Duals and transpositions with applications in continuum mechanics ⋮ Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks ⋮ Bifurcation of elastoplastic solids to shear band mode at finite strain.
This page was built for publication: Comparison of two algorithms for the computation of fourth-order isotropic tensor functions
