Local Unloading in Piecewise-Linear Plasticity

by Osvaldo De Donato, Assoc. Prof. of Struct. Engrg.; Technical Univ. (Politecnico), Milan, Italy,
Giulio Maier, (M.ASCE), Prof. of Struct. Engrg.; Technical Univ. (Politecnico), Milan, Italy,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 3, Pg. 383-394

Document Type: Journal Paper


Piecewise-linear yield surfaces and hardening rules are assumed for structural constituents. Using results due to Cottle on parametric linear complementarity problems, criteria are given for regular progression (no local unloading) in the plastic deformation response: (1) To proportional paths of generalized stresses and, subsequently, generalized strains at the element level; and (2) to proportional paths of external actions (loads, imposed strains, or both) at the (assembled) structure level.

Subject Headings: Plasticity | Strain | Parameters (statistics) | Linear functions | Plastics | Deformation (mechanics) | Structural members | Live loads

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