Finite deformation plasticity in principal axes: From a manifold to the Euclidean setting
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Publication:1964289
DOI10.1016/S0045-7825(98)00215-1zbMath0938.74017MaRDI QIDQ1964289
Fadi Gharzeddine, Adnan Ibrahimbegović
Publication date: 27 June 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
finite deformation plasticitycovariant formulationoperator split methodfinite deformation deviatoric plasticityfinite element interpolation schemesLie derivative formalismmethod of principal axesnear-incompressibility constraint
Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Numerical and other methods in solid mechanics (74S99)
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Cites Work
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- A critical review of the state of finite plasticity
- Consistent tangent operators for rate-independent elastoplasticity
- Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
- A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
- A maximum-dissipation principle in generalized plasticity
- A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
- A new look at the Lanczos algorithm for solving symmetric systems of linear equations
- On the implementation of inelastic constitutive equations with special reference to large deformation problems
- A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- Equivalent spatial and material descriptions of finite deformation elastoplasticity in principal axes
- On numerically accurate finite element solutions in the fully plastic range
- Finite elastoplastic deformations of space-curved membranes
- An introduction to continuum mechanics
- An approach to nonlinear programming
- Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
- On the thermodynamic foundations of non-linear solid mechanics
- A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
- A modified method of incompatible modes
- Aspects of Invariance in Solid Mechanics
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- Product formulas and numerical algorithms
- Classical plasticity and viscoplasticity models reformulated: theoretical basis and numerical implementation
- Geometrically non‐linear method of incompatible modes in application to finite elasticity with independent rotations
- An efficient implementation of stress resultant plasticity in analysis of Reissner‐Mindlin plates
- Formulation of implicit finite element methods for multiplicative finite deformation plasticity
- Elastic-Plastic Deformation at Finite Strains
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