Analysis of pressure equipment by application of the primal-dual theory of shakedown

DOI10.1002/cnm.891zbMath1107.74007OpenAlexW2059303047MaRDI QIDQ3427394

Manfred Staat, Ich Thinh Tran, Vu. Duc Khoi

Publication date: 20 March 2007

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

Full work available at URL: https://doi.org/10.1002/cnm.891

zbMATH Keywords

optimizationlimit analysis

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

A continuum-based mixed shell element for shakedown analysis ⋮ A selective strategy for shakedown analysis of engineering structures ⋮ Shakedown analysis with multidimensional loading spaces ⋮ Direct plastic structural design under random strength and random load by chance constrained programming ⋮ Numerical lower bound shakedown analysis of engineering structures ⋮ Direct plastic structural design under lognormally distributed strength by chance constrained programming ⋮ A dual algorithm for shakedown analysis of plate bending

Cites Work

• Shakedown with nonlinear strain-hardening including structural computation using finite element method
• A dual form for discretized kinematic formulation in shakedown analysis
• A method for the evaluation of design limits for structural materials in a cyclic state of creep
• An iterative algorithm for limit analysis with nonlinear yield functions
• Shakedown theory in perfect elastoplasticity with associated and nonassociated flow-laws: A finite element linear programming approach
• A primal--dual algorithm for shakedown analysis of structures
• An Efficient Primal-Dual Interior-Point Method for Minimizing a Sum of Euclidean Norms
• Basis reduction for the shakedown problem for bounded kinematic hardening material

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