An optimal control approach to the analysis of inelastic structures under cyclic loading

DOI10.1016/S0022-5096(02)00104-7zbMath1026.74049OpenAlexW2155756787MaRDI QIDQ1400197

Michaël Peigney, Claude Stolz

Publication date: 13 August 2003

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(02)00104-7

zbMATH Keywords

optimal controlminimization problemcoupled viscoplasticity/frictionless contact problemcyclic indentationelasto-viscoplastic half-planeelasto-viscoplastic structures

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Contact in solid mechanics (74M15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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Cites Work

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• Models and computational methods for dynamic friction phenomena
• Shakedown analysis of defective pressure vessels by a kinematic approach
• Limit analysis for a general class of yield conditions
• Plasticity in fretting contact
• Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models
• Shakedown theory in perfect elastoplasticity with associated and nonassociated flow-laws: A finite element linear programming approach
• Contact Mechanics
• On the Internal Stresses in a Half Plane and a Layer Containing Localized Inelastic Strains or Inclusions
• Mechanics of Solid Materials
• Approche par contrôle optimal des structures élastoviscoplastiques sous chargement cyclique