Journal ArticleDOI
Local Unloading in Piecewise-Linear Plasticity
Osvaldo De Donato,Giulio Maier +1 more
TLDR
In this paper, Cottle's criteria for regular progression in the plastic deformation response are given for proportional paths of generalized stresses and, subsequently, generalized strains at the element level; and proportional path of external actions (loads, imposed strains, or both) at the structure level.Abstract:
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.read more
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Piecewise Linear Models for Interfaces and Mixed Mode Cohesive Cracks
TL;DR: In this article, a piecewise linear interface model is proposed to model the relationship between displacement jumps and tractions across a locus of displacement discontinuities, and the properties and pros and cons of such simplified models in a variety of formulations are investigated in view of overall analyses of structures (like e.g. concrete dams) which include joints and/or are exposed to quasibrittle fracture processes.
Journal ArticleDOI
Indirect identification of yield limits by mathematical programming
TL;DR: In this article, the problem of identifying yield limits under piecewise linear yield surfaces and no local unstressing under increasing loads is shown to be amenable to the minimization of a convex quadratic function under linear and (nonconvex) complementarity constraints.
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Mathematical programming and nonlinear finite element analysis
TL;DR: A unified computational scheme is presented, and comparisons are made between the mathematical programming techniques and the so-called “direct” methods for nonlinear finite element analysis.
Journal ArticleDOI
Dynamic response of pulse loaded structures as a linear complementarity problem
TL;DR: In this article, the problem of rigid-plastic framed structures subjected to load pulses of arbitrary form, and of intensity such that substantial plastic deformation takes place, is treated by approximate means.
Journal ArticleDOI
Plastic straining, unstressing and branching in large displacement perturbation analysis
TL;DR: In this article, the nonlinear system of equations and inequalities relating to the large displacement behavior of elasto-plastic structures can be transformed by the method of perturbations into an infinite sequence of recursive linear complementarity problems (LCP).