An implicit and incremental formulation for the solution of elastoplastic problems by the finite element method

DOI10.1016/0045-7949(86)90269-5zbMath0578.73066OpenAlexW2043917822MaRDI QIDQ3700973

H. J. Braudel, M. Abouaf, J. L. Chenot

Publication date: 1986

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(86)90269-5

zbMATH Keywords

Newton-Raphson methodprinciple of virtual worknonlinear equationspath independentelastoplastic problemsapproximate integration of the flow rules over the incrementimplicit incremental form of the constitutive equationsmechanical formulationTwo resolution algorithms

Mathematics Subject Classification ID

Related Items (10)

Integration methods for complex plastic constitutive equations ⋮ Elastoplastic analysis of shells without any local iterative calculations by block Newton method ⋮ Introduction of pseudo-stress for local residual and algebraic derivation of consistent tangent in elastoplasticity ⋮ Thermo-elasto-plastic finite element analysis of quasi-state processes in Eulerian reference frames ⋮ Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials. ⋮ Implicit numerical integration of nonsmooth multisurface yield criteria in the principal stress space ⋮ Numerical aspects of a non-proportional cyclic plasticity model under plane stress conditions ⋮ Stress integration method for a nonlinear kinematic/isotropic hardening model and its characterization based on polycrystal plasticity ⋮ Eulerian elasto-visco-plastic formulations for residual stress prediction ⋮ Sensitivity analysis and optimization of thermo-elasto-plastic processes with applications to welding side heater design

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