A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit

DOI10.1016/S0997-7538(01)01161-5zbMath1002.74018MaRDI QIDQ5947193

Haofeng Chen, Alan R. S. Ponter

Publication date: 22 January 2002

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

zbMATH Keywords

convergencecyclic loadingcompensation methodgeneralized upper bound shakedown theoremminimisation of functionalsprogramming methodratchet limitreverse plasticity

Mathematics Subject Classification ID

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

Related Items (14)

Computational formulation for the asymptotic response of elastoplastic solids under cyclic loads ⋮ Limit and shakedown isogeometric analysis of structures based on Bézier extraction ⋮ A generalised method for ratchet analysis of structures undergoing arbitrary thermo-mechanical load histories ⋮ A direct method for ratchet boundary determination ⋮ Direct Evaluation of Limits in Plasticity and Creep Deformation ⋮ Shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength: theory, method and applications ⋮ 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 method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading ⋮ Computing the asymptotic cyclic response of elastoplastic solids with nonlinear kinematic hardening ⋮ On shakedown analysis in hardening plasticity. ⋮ Bounds on transient phase plastic deformations in optimal design of steel frames subjected to cyclic loads ⋮ Stabilization of the response of cyclically loaded lattice spring models with plasticity ⋮ Minimum theorems and the linear matching method for bodies in a cyclic state of creep

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Application of the kinematical shakedown theorem to rolling and sliding point contacts
• Limit state solutions, based upon linear elastic solutions with a spatially varying elastic modulus
• Shakedown state simulation techniques based on linear elastic solutions
• Inelastic analysis of structures under variable loads: Theory and engineering applications. Papers elaborated in the sequel of the European mechanics (EUROMECH)-colloquium 385, Aachen, October 1998.
• 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
• On the behaviour of metal matrix composites subjected to cyclic thermal loading
• Bounding properties of metal-matrix composites subjected to cyclic thermal loading
• Some extremal properties and energy theorems for inelastic materials and their relationship to the deformation theory of plasticity
• A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading

This page was built for publication: A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit