6533b85efe1ef96bd12bf508

RESEARCH PRODUCT

Lower bound limit analysis by bem: Convex optimization problem and incremental approach

X.f. GuoL. ZitoT. PanzecaE. ParlavecchioXiao-wei Gao

subject

convex optimizationelastoplasticityApplied MathematicsMathematical analysisGeneral EngineeringSGBEMUpper and lower boundsself-equilibrium streNonlinear programmingComputational MathematicsQuadratic equationLimit analysisConvex optimizationCanonical formSettore ICAR/08 - Scienza Delle CostruzioniGalerkin methodBoundary element methodAnalysislower bound limit analysiMathematics

description

Abstract The lower bound limit approach of the classical plasticity theory is rephrased using the Multidomain Symmetric Galerkin Boundary Element Method, under conditions of plane and initial strains, ideal plasticity and associated flow rule. The new formulation couples a multidomain procedure with nonlinear programming techniques and defines the self-equilibrium stress field by an equation involving all the substructures (bem-elements) of the discretized system. The analysis is performed in a canonical form as a convex optimization problem with quadratic constraints, in terms of discrete variables, and implemented using the Karnak.sGbem code coupled with the optimization toolbox by MatLab. The numerical tests, compared with the iterative elastoplastic analysis via the Multidomain Symmetric Galerkin Boundary Element Method, developed by some of the present authors, and with the available literature, prove the computational advantages of the proposed algorithm.

yearjournalcountryeditionlanguage
2013-03-01Engineering Analysis with Boundary Elements
https://doi.org/10.1016/j.enganabound.2012.11.016