Boundary element methods for lower bound limit and shakedown analysis

DOI10.1016/S0955-7997(03)00117-6zbMath1130.74477OpenAlexW1996283585MaRDI QIDQ2486443

Zhangzhi Cen, Ying-Hua Liu, Xiaofeng Zhang

Publication date: 5 August 2005

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(03)00117-6

zbMATH Keywords

Boundary element methodLimit analysisSelf-equilibrium stressNon-linear programmingShakedown analysisSymmetric Galerkin boundary element methodThe complex method

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Thin bodies, structures (74K99)

Related Items (12)

A unified mathematical programming formulation of strain driven and interior point algorithms for shakedown and limit analysis ⋮ Computation of limit and shakedown loads using a node-based smoothed finite element method ⋮ Upper-bound limit analysis based on the natural element method ⋮ Limit and shakedown isogeometric analysis of structures based on Bézier extraction ⋮ Lower bound limit analysis by BEM: convex optimization problem and incremental approach ⋮ A nonlinear programming approach to limit analysis of non-associated plastic flow materials ⋮ Upper bound shakedown analysis with the nodal natural element method ⋮ An edge-based smoothed finite element method for primal-dual shakedown analysis of structures ⋮ A basis reduction method using proper orthogonal decomposition for shakedown analysis of kinematic hardening material ⋮ Upper bound limit analysis using the weak form quadrature element method ⋮ Bounds to shakedown loads for a class of deviatoric plasticity models ⋮ Adaptive XIGA shakedown analysis for problems with holes

Cites Work

• A numerical method for plastic limit analysis of 3-D structures
• A Galerkin approach to boundary element elastoplastic analysis
• A nonlinear inequality, finite element approach to the direct computation of shakedown load safety factors
• General stress analysis method by means of integral equations and boundary elements
• A kinematic model for plastic limit analysis of solids by the boundary integral method
• Shakedown with nonlinear strain-hardening including structural computation using finite element method
• Modeling and computation of shakedown problems for nonlinear hardening materials
• Lower bound limit analysis by the symmetric Galerkin boundary element method and the complex method
• On the numerical assessment of the safety factor of elastic-plastic structures under variable loading
• Shakedown analysis of defective pressure vessels by a kinematic approach
• Plastic collapse analysis of defective pipelines under multi-loading systems
• Formulation of boundary integral equations for three-dimensional elasto- plastic flow
• A galerkin symmetric boundary-element method in elasticity: Formulation and implementation
• An integral equation approach to boundary value problems of classical elastostatics
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