Minimum theorems and the linear matching method for bodies in a cyclic state of creep

DOI10.1016/S0997-7538(02)01245-7zbMath1027.74007MaRDI QIDQ1870700

Alan R. S. Ponter, Mostapha Boulbibane

Publication date: 14 May 2003

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

zbMATH Keywords

CreepCyclic loadingProgramminglinear matching methodupper bound methodkinematic methodShakedownequilibrium methodconvex flow potentialminimum theorems

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Thermal effects in solid mechanics (74F05)

Related Items (1)

A method for the evaluation of design limits for structural materials in a cyclic state of creep

Cites Work

• The analysis of cyclically loaded creeping structures for short cycle times
• Shakedown state simulation techniques based on linear elastic solutions
• Shakedown limits for a general yield condition: Implementation and application for a von Mises yield condition
• A method for the evaluation of design limits for structural materials in a cyclic state of creep
• A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit
• A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading

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