A posteriori error estimator and adaptive procedures for computation of shakedown and limit loads on pressure vessels

DOI10.1016/S0045-7825(97)00094-7zbMath0914.73057OpenAlexW1969815007MaRDI QIDQ1267870

Jose Ricardo Queiroz Franco, J. Tinsley Oden, Felicio Bruzzi Barros, Alan R. S. Ponter

Publication date: 27 June 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00094-7

zbMATH Keywords

linear programmingupper boundsminimization problemenergy normnodal displacementskinematic approach\(h\)-type adaptive mesh refinementelastic-perfectly plastic materialshexagonal prismatic yield surfaceKoiter's shakedown theoremnodal plastic multipliers

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15)

Related Items (2)

A numerical approach to the yield strength of shell structures ⋮ Adaptive XIGA shakedown analysis for problems with holes

Cites Work

• A simple error estimator and adaptive procedure for practical engineerng analysis
• Analysis of Optimal Finite-Element Meshes in R 1
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• On the calculation of consistent stress distributions in finite element approximations
• Note on an approximate method for computing consistent conjugate stresses in elastic finite elements
• The plastic collapse of cylindrical shells under axially symmetrical loading
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