A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues

From MaRDI portal
Publication:1192740

DOI10.1016/0045-7825(92)90156-EzbMath0747.73020OpenAlexW2052383254MaRDI QIDQ1192740

Djordje Perić, M. E. Honnor, David R. Owen

Publication date: 27 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90156-e




Related Items (63)

Finite plasticity in \(P^\top P\). I: Constitutive modelImplicit stress integration procedure for small and large strains of the Gurson material modelComparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materialsTexture development and formability prediction for pre-textured cold rolled body-centred cubic steelAn elastoplastic framework for granular materials becoming cohesive through mechanical densification. II: The formulation of elastoplastic coupling at large strainEXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALSThe exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticityEnhanced lower-order element formulations for large strainsUniversal anisotropic yield criterion based on superquadric functional representation. I: Algorithmic issues and accuracy analysisFinite elastoplastic deformations of space-curved membranesNumerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticityApproximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functionsOn theory and numerics of large viscoplastic deformationA note on Padé approximants of tensor logarithm with application to Hencky-type hyperelasticityImplementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbersThe exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexityMultifield finite strain plasticity: theory and numericsRemarks on the stability of enhanced strain elements in finite elasticity and elastoplasticityA finite strain kinematic hardening constitutive model based on Hencky strain: general framework, solution algorithm and application to shape memory alloysStable splitting scheme for general form of associated plasticity including different scales of space and timeA discontinuous Galerkin formulation of a model of gradient plasticity at finite strainsUnnamed ItemFinite deformation plasticity in principal axes: From a manifold to the Euclidean settingA new computational model for Tresca plasticity at finite strains with an optimal parametrization in the principal spaceFinite elastoplastic deformation of membrane shellsA re-formulation of the exponential algorithm for finite strain plasticity in terms of Cauchy stressesA theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strainsConstruction of two- and three-dimensional statistically similar RVEs for coupled micro-macro simulationsNumerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strainsAlgorithms for computation of stresses and elasticity moduli in terms of Seth-Hill's family of generalized strain tensorsA mixed parallel strategy for the solution of coupled multi-scale problems at finite strainsUnnamed ItemConsistent tangent matrices for density-dependent finite plasticity modelsFinite deformation analysis of geomaterialsFinite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and LinearizationFinite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient frameworkA large time incremental finite element method for finite deformation problemInelastic equation of state for solidsElastoplasticity beyond small deformationsOn nonlocal regularization in one-dimensional finite strain elasticity and plasticityA model of finite strain viscoplasticity based on unified constitutive equations. Theoretical and computational considerations with applications to shellsComputational issues in large strain elasto-plasticity: an algorithm for mixed hardening and plastic spinDirect determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolationOn the integration of stresses in large deformations plasticityMetal forming simulationA new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rateOn large deformation hyperelasto‐plasticity of anisotropic materialsVariational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain spaceNonlinear oscillations and dynamic stability of an elastoplastic pyramidal trussComputational aspects of tangent moduli tensors in rate-independent crystal elastoplasticityFinite element simulation of the rolling and extrusion of multi-phase materials. Application to the rolling of prepared sugar caneComputational anisotropic hardening multiplicative elastoplasticity based on the corrector elastic logarithmic strain rateA formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metricOn adaptive strategies for large deformations of elasto-plastic solids at finite strains: Computational issues and industrial applicationsThe large rotations theory of elasto‐viscoplastic shells subjected to the dynamic and thermal loadsA computational model for generalized inelastic materials at finite strains combining elastic, viscoelastic and plastic material behaviourInstability and damage effects in the modeling of metal formingLarge inelastic strain analysis by multilayer shell elementsFinite element modelling of the squeeze casting processA computational framework for a class of fully coupled models for elastoplastic damage at finite strains with reference to the linearization aspectsComputational strategies for predictive geology with reference to salt tectonicsOn a mixed approach to the finite element solution of large strain elastoplastic problemsAnisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials.



Cites Work


This page was built for publication: A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues