A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading

DOI10.1016/S0997-7538(01)01162-7zbMath1014.74013MaRDI QIDQ5947194

Alan R. S. Ponter, Haofeng Chen

Publication date: 21 October 2001

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

zbMATH Keywords

cyclic loadingamplitude of plastic strainminimisation processratchet boundaryratchet limitreverse plasticityupper bound shakedown theorem

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05)

Related Items (10)

Fast and robust RSDM shakedown solutions of structures under cyclic variation of loads and imposed displacements ⋮ A generalised method for ratchet analysis of structures undergoing arbitrary thermo-mechanical load histories ⋮ A direct method for ratchet boundary determination ⋮ A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures ⋮ Direct Evaluation of Limits in Plasticity and Creep Deformation ⋮ A direct method to predict cyclic steady states of elastoplastic structures ⋮ A simplified creep-reverse plasticity solution method for bodies subjected to cyclic loading ⋮ A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit ⋮ Effect of constraint on cyclic plastic behaviours of cracked bodies and the establishment of unified constraint correlation ⋮ Minimum theorems and the linear matching method for bodies in a cyclic state of creep

Cites Work

• Numerical shakedown analysis of damaged structures
• Limit state solutions, based upon linear elastic solutions with a spatially varying elastic modulus
• Shakedown state simulation techniques based on linear elastic solutions
• Limit analysis for a general class of yield conditions
• Shakedown limits for a general yield condition: Implementation and application for a von Mises yield condition
• Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law
• Mathematical programming methods for deformation analysis at plastic collapse
• A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit

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