An optimal approach to the analysis of inelastic structures under cyclic loading - Archive ouverte HAL
Journal Articles Journal of the Mechanics and Physics of Solids Year : 2003

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

Michaël Peigney
Claude Stolz

Abstract

Optimal control theory is used to study the asmptotic behaviour of elasto-viscoplastic structures under cyclic loading. With this approach, the asymptotic state is found as the solution of a minimization problem. General properties of this method are established. A simple thermomechanical problem is studied to illustrate and validate this approach. An interest of the proposed metho lies in its capacity to handle other nonlinearities than plasticity. To illustrate this point, the approach is extended to the couples viscoplasticity/frictionless contact problem. Some numerical results are given for an elasto-viscoplastic half-plane under cyclic frictionless indentation.

Dates and versions

hal-00092214 , version 1 (08-09-2006)

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Cite

Michaël Peigney, Claude Stolz. An optimal approach to the analysis of inelastic structures under cyclic loading. Journal of the Mechanics and Physics of Solids, 2003, 51, pp.575-605. ⟨10.1016/s0022-5096(02)00104-7⟩. ⟨hal-00092214⟩
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