Computational formulation for the asymptotic response of elastoplastic solids under cyclic loads

DOI10.1016/j.euromechsol.2016.09.013zbMath1406.74126OpenAlexW2525403123MaRDI QIDQ1658593

Rafael SantAnna, Nestor Zouain

Publication date: 15 August 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2016.09.013

zbMATH Keywords

elastoplasticitydirect methodsshakedowncyclic loads

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (9)

Finite-Time Stability of Polyhedral Sweeping Processes with Application to Elastoplastic Systems ⋮ Fast and robust RSDM shakedown solutions of structures under cyclic variation of loads and imposed displacements ⋮ A direct method for ratchet boundary determination ⋮ Viscoplastic constitutive modelling of the ratchetting behavior of 35CrMo steel under cyclic uniaxial tensile loading with a wide range of stress amplitude ⋮ Computing the asymptotic cyclic response of elastoplastic solids with nonlinear kinematic hardening ⋮ Stabilization of the response of cyclically loaded lattice spring models with plasticity ⋮ One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model ⋮ A viscoelastic-viscoplastic constitutive model for high-temperature response of an advanced steel verified by biaxial measurement experiments ⋮ Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs

Uses Software

• PARDISO
• HYPLAS

Cites Work

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• A direct method to predict cyclic steady states of elastoplastic structures
• Determination of the asymptotic response of a structure under cyclic thermomechanical loading
• Generalized variable finite element modeling and extremum theorems in stepwise holonomic elastoplasticity with internal variables
• Computational inelasticity
• Steady states and sensitivity analysis in elastic-plastic structures subjected to cyclic loads
• Plasticity. Mathematical theory and numerical analysis
• An optimal control approach to the analysis of inelastic structures under cyclic loading
• Variational methods for the steady-state response of elastic--plastic solids subjected to cyclic loads.
• An algorithm for shakedown analysis with nonlinear yield functions
• A minimum principle for incremental elastoplasticity with non-associated flow laws
• Quadratic velocity-linear stress interpolations in limit analysis
• A generalised method for ratchet analysis of structures undergoing arbitrary thermo-mechanical load histories
• An interior-point algorithm for elastoplasticity
• Upper bound limit analysis using simplex strain elements and second-order cone programming
• Nonsmooth Mechanics and Convex Optimization
• Bounds to shakedown loads
• A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit

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