Finite element analysis of a class of problems in finite elastoplasticity based on the thermodynamical theory of materials of type N.
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Publication:801724
DOI10.1016/0045-7825(85)90119-7zbMath0552.73066OpenAlexW1973704556MaRDI QIDQ801724
Publication date: 1985
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(85)90119-7
unloadingdecomposition methodsmotionnumerical algorithmsdiscrete nonlinear systemthermodynamical theoryfinite elastoplastic deformationsstrain-rateplane-strain problemkinematical descriptionsmaterials of type Nreloadingrotationally invariant stress-rates measuresupsetting of a partially constrained rectangular billet
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)
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Cites Work
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- On the analysis of rotation and stress rate in deforming bodies
- Analysis of hourglass instabilities and control in underintegrated finite element methods
- Generalized potentials in finite elastoplasticity
- A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
- On the rotated stress tensor and the material version of the Doyle- Ericksen formula
- On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening
- Generalized flow potentials in finite elastoplasticity. II. Examples
- On the large strain inelastic analysis in natural formulation. I: Quasistatic problems
- On the large strain inelastic analysis in natural formulation. II. Dynamic problems
- Some comments on elastic-plastic analysis
- Penalty-finite element methods for the analysis of Stokesian flows
- Remarks on 4CST-elements for incompressible materials
- Finite-element formulations for problems of large elastic-plastic deformation
- Incremental formulation in nonlinear mechanics and large strain elasto- plasticity - natural approach. I
- Incremental formulation in nonlinear mechanics and large strain elasto- plasticity - natural approach. II
- Decomposition of strain measures and their rates in finite deformation elastoplasticity
- On the application of the finite element method to metal forming processes. I
- On finite deformation elasto-plasticity
- Some computational aspects of large deformation, rate-dependent plasticity problems
- A note on incremental equilibrium equations and approximate constitutive relations in large inelastic deformations
- On numerically accurate finite element solutions in the fully plastic range
- An introduction to continuum mechanics
- A finite element formulation for problems of large strain and large displacement
- A numerical study of necking in circular cylindrical bars
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- Finite element formulations for large deformation dynamic analysis
- Inequality Constraints in the Calculus of Variations
- Elastic-Plastic Deformation at Finite Strains
- Elasto‐plastic solutions of engineering problems ‘initial stress’, finite element approach
