A selective strategy for shakedown analysis of engineering structures

DOI10.1002/nme.4476zbMath1352.74231OpenAlexW2112967860MaRDI QIDQ2952284

M. Kreimeier, Jaan-Willem Simon, Dieter Weichert

Publication date: 30 December 2016

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.4476

zbMATH Keywords

direct methodinterior-point algorithmlarge-scale problemshakedown analysisengineering structuresselective strategy

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Interior-point methods (90C51) Optimization of other properties in solid mechanics (74P10)

Related Items (1)

Fast and robust RSDM shakedown solutions of structures under cyclic variation of loads and imposed displacements

Uses Software

• LANCELOT
• LOQO
• SeDuMi
• SDPT3
• Mosek
• Ipopt

Cites Work

• Unnamed Item
• Unnamed Item
• Solving semidefinite-quadratic-linear programs using SDPT3
• Shakedown analysis with multidimensional loading spaces
• A node-based smoothed finite element method (NS-Fem) for upper bound solution to visco-elastoplastic analyses of solids using triangular and tetrahedral meshes
• Numerical lower bound shakedown analysis of engineering structures
• A direct method to predict cyclic steady states of elastoplastic structures
• On structural safety assessment by load factor maximization in piecewise linear plasticity
• Limit analysis decomposition and finite element mixed method
• Formulation and solution of some plasticity problems as conic programs
• Mixed method and convex optimization for limit analysis of homogeneous Gurson materials: a kinematical approach
• Bounds to shakedown loads for a class of deviatoric plasticity models
• An eigen-mode method in kinematic shakedown analysis
• Solving a class of linearly constrained indefinite quadratic problems by DC algorithms
• On the numerical assessment of the safety factor of elastic-plastic structures under variable loading
• A dual form for discretized kinematic formulation in shakedown analysis
• Shakedown analysis of defective pressure vessels by a kinematic approach
• Interior-point methods
• An algorithm for shakedown analysis with nonlinear yield functions
• The DC (Difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
• Symmetric indefinite systems for interior point methods
• Elastic plastic shakedown of 3D periodic heterogeneous media: a direct numerical approach
• Interior-point methods for nonconvex nonlinear programming: Filter methods and merit functions
• A new approach to shakedown analysis for non-standard elastoplastic material by the bipotential.
• Lower bound shakedown analysis by the symmetric Galerkin boundary element method
• On the formulation and theory of the Newton interior-point method for nonlinear programming
• Shakedown analysis: comparison between models with the linear unlimited, linear limited and non linear kinematic hardening
• Application of lower bound direct method to engineering structures
• Progress in shakedown analysis with applications to composites
• Shape optimization for elasto-plastic deformation under shakedown conditions
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• An interior algorithm for nonlinear optimization that combines line search and trust region steps
• A primal--dual algorithm for shakedown analysis of structures
• Limit analysis and Gurson's model
• Lower bound shakedown analysis by using the element free Galerkin method and nonlinear programming
• A dual algorithm for shakedown analysis of plate bending
• 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
• A cell-based smoothed finite element method for kinematic limit analysis
• Finite element shakedown analysis of two-dimensional structures
• Limit analysis of plates using the EFG method and second-order cone programming
• Analysis of pressure equipment by application of the primal-dual theory of shakedown
• Lower bound limit analysis of cohesive-frictional materials using second-order cone programming
• An edge-based smoothed finite element method for primal-dual shakedown analysis of structures
• An interior-point algorithm for elastoplasticity
• Application of the interior‐point method to shakedown analysis of pavements
• Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading
• On free variables in interior point methods
• Interior point optimization and limit analysis: an application
• LOQO:an interior point code for quadratic programming
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• An Interior Point Algorithm for Large-Scale Nonlinear Programming
• Symmetric Quasidefinite Matrices
• Interior Methods for Nonlinear Optimization
• Lower bound limit analysis using non-linear programming
• A general non-linear optimization algorithm for lower bound limit analysis
• The interior-point revolution in optimization: History, recent developments, and lasting consequences
• Second-order cone programming approaches to static shakedown analysis in steel plasticity
• Line Search Filter Methods for Nonlinear Programming: Motivation and Global Convergence
• Linear matching method on the evaluation of plastic and creep behaviours for bodies subjected to cyclic thermal and mechanical loading
• Application of h‐adaptive FEM and Zarka's approach to analysis of shakedown problems

This page was built for publication: A selective strategy for shakedown analysis of engineering structures