A unified mathematical programming formulation of strain driven and interior point algorithms for shakedown and limit analysis

DOI10.1002/nme.3188zbMath1242.74115OpenAlexW2115893614MaRDI QIDQ2894858

Leonardo Leonetti, Giovanni Garcea

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3188

zbMATH Keywords

interior point methodsmathe-matical programmingshakedown and limit analysisstrain-driven formulation

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (14)

Fast and robust RSDM shakedown solutions of structures under cyclic variation of loads and imposed displacements ⋮ A selective strategy for shakedown analysis of engineering structures ⋮ A projected Newton algorithm for the dual convex program of elastoplasticity ⋮ Numerical assessment of the macroscopic strength criterion of reinforced soils using semidefinite programming ⋮ A class of strain‐displacement elements in upper bound limit analysis ⋮ A dual decomposition of the closest point projection in incremental elasto‐plasticity using a mixed shell finite element ⋮ Shakedown analysis with multidimensional loading spaces ⋮ A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures ⋮ Lower bound limit and shakedown analysis of orthotropic material ⋮ A novel upper bound finite-element for the limit analysis of plates and shells ⋮ A direct method to predict cyclic steady states of elastoplastic structures ⋮ Computational methods for elastoplasticity: an overview of conventional and \textit{less-conventional} approaches ⋮ Adaptive XIGA shakedown analysis for problems with holes ⋮ Stabilization of the response of cyclically loaded lattice spring models with plasticity

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