Search results for " Linear Complementarity"

showing 2 items of 2 documents

Frictionless contact-detachment analysis: iterative linear complementarity and quadratic programming approaches.

2012

The object of the paper concerns a consistent formulation of the classical Signorini’s theory regarding the frictionless contact problem between two elastic bodies in the hypothesis of small displacements and strains. The employment of the symmetric Galerkin boundary element method, based on boundary discrete quantities, makes it possible to distinguish two different boundary types, one in contact as the zone of potential detachment, called the real boundary, the other detached as the zone of potential contact, called the virtual boundary. The contact-detachment problem is decomposed into two sub-problems: one is purely elastic, the other regards the contact condition. Following this method…

Linear ComplementarityQuadratic ProgrammingApplied MathematicsMechanical EngineeringContact-detachmentMathematical analysisComputational MechanicsOcean EngineeringMixed boundary conditionSymmetric BEMLinear complementarity problemComplementarity (physics)Computational MathematicsSymmetric BEM Contact-detachment Linear Complementarity Quadratic ProgrammingComputational Theory and MathematicsFree boundary problemBoundary value problemQuadratic programmingSettore ICAR/08 - Scienza Delle CostruzioniGalerkin methodBoundary element methodMathematics
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Active macro-zone approach for incremental elastoplastic-contact analysis

2013

The symmetric boundary element method, based on the Galerkin hypotheses, has found an application in the nonlinear analysis of plasticity and in contact-detachment problems, but both dealt with separately. In this paper, we want to treat these complex phenomena together as a linear complementarity problem. A mixed variable multidomain approach is utilized in which the substructures are distinguished into macroelements, where elastic behavior is assumed, and bem-elements, where it is possible that plastic strains may occur. Elasticity equations are written for all the substructures, and regularity conditions in weighted (weak) form on the boundary sides and in the nodes (strong) between cont…

elastoplasticitymultidomain SGBEM elastoplasticity contact/detachment linear complementarity approachlinear complementarity approachSettore ICAR/08 - Scienza Delle CostruzioniMultidomain SGBEMcontact/detachment
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