Journal ArticleDOI
Complete solutions for a class of elastic-plastic structures
TLDR
In this article, a mathematical programming method is proposed for determining the complete history of (generalized) stresses and strains during a loading process for a class of elastic-plastic structures, based on a pivoting procedure similar to the simplex method for a linear program.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1980-02-01. It has received 25 citations till now. The article focuses on the topics: Linear programming & Simplex algorithm.read more
Citations
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Journal ArticleDOI
Engineering and Economic Applications of Complementarity Problems
Michael C. Ferris,Jong-Shi Pang +1 more
TL;DR: The goal of this documentation is to summarize the essential applications of the nonlinear complementarity problem known to date, to provide a basis for the continued research on the non linear complementarityproblem, and to supply a broad collection of realistic complementarity problems for use in algorithmic experimentation and other studies.
Journal ArticleDOI
A mathematical programming approach to three-dimensional contact problems with friction
TL;DR: In this article, a variational inequality formulation for linear elastic contact problems with friction is presented, where the contact surface is constant during the loading history, and the conditions under which this procedure defines a unique solution map which describes the evolution of contact stresses and displacements for a prescribed load history.
Journal ArticleDOI
A mathematical programming approach to contact problems with friction and varying contact surface
Anders Klarbring,Gunnar Björkman +1 more
TL;DR: In this article, the numerical treatment of contact problems with friction is considered, starting from the algebraic stiffness equation of two discretized linear elastic bodies and taking the contact and friction laws into account, a new type of Linear Complementarity Problem (LCP) is suggested.
Book ChapterDOI
Frictional Contact Algorithms Based on Semismooth Newton Methods
TL;DR: In this paper, the authors established that the discrete, three-dimensional, quasistatic, small-displacement, elastic-body frictional contact problem can be formulated as a system of semismooth equations.
Journal ArticleDOI
Analysis of elastic and elastic-plastic adhesive joints using a mathematical programming approach
Ulf Edlund,Anders Klarbring +1 more
TL;DR: In this paper, the authors considered a geometrically two-dimensional treatment of the adhesive, a linear displacement field through its thickness is assumed, and using the principle of virtual work and assuming linear elastic behaviour, equilibrium and constitutive equations are derived.
References
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Journal ArticleDOI
Complementary pivot theory of mathematical programming
TL;DR: The role of problems of the form w and z satisfying w = q + Mz, w = or 0, z = or0, zw = 0 play a fundamental role in mathematical programming.
Journal ArticleDOI
Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface
Journal ArticleDOI
A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes
TL;DR: In this paper, general piecewise linear constitutive laws with associated flow rules are formulated in matrix notation and some properties and specializations (in particular to kinematic and isotropic hardening) are discussed.
Journal ArticleDOI
A quadratic programming approach for certain classes of non linear structural problems
TL;DR: In this paper, the problem of the deviation from the linear elastic, of the response of a nonlinear discrete structure to given loads, is formulated for various classes of cases, and all the problems considered are shown to be reducible to a single mathematical model: the quadratic program with sign constraints only.
Journal ArticleDOI
Mathematical programming methods for the inelastic analysis of reinforced concrete frames allowing for limited rotation capacity
Osvaldo De Donato,Giulio Maier +1 more
TL;DR: In this article, the inelastic flexural behavior of reinforced concrete beams is described by a trilinear (or, in general, multi-inear) moment-rotation relationship.
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Historical deformation analysis of elastoplastic structures as a parametric linear complementarity problem
Osvaldo De Donato,Giulio Maier +1 more