A reliable incremental method of computing the limit load in deformation plasticity based on compliance: continuous and discrete setting

DOI10.1016/j.cam.2016.02.035zbMath1381.74030arXiv1511.02681OpenAlexW2515758477WikidataQ109654934 ScholiaQ109654934MaRDI QIDQ269379

Jaroslav Haslinger, Stanislav Sysala, Sergey I. Repin

Publication date: 18 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02681

zbMATH Keywords

finite element approximationelastic-perfectly plastic problemsincremental limit analysisvariational problems with linear growth energy

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. ⋮ Subdifferential‐based implicit return‐mapping operators in Mohr‐Coulomb plasticity ⋮ Subdifferential‐based implicit return‐mapping operators in computational plasticity ⋮ Truncation and Indirect Incremental Methods in Hencky’s Perfect Plasticity ⋮ Inf–sup conditions on convex cones and applications to limit load analysis ⋮ An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications ⋮ Efficient and flexible Matlab implementation of 2D and 3D elastoplastic problems ⋮ Computable majorants of the limit load in Hencky's plasticity problems

Uses Software

• HYPLAS

Cites Work

• Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals.
• Numerical solution of a variational problem arising in stress analysis: the vector case
• Plasticity. Mathematical theory and numerical analysis
• Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART II - numerical realization, limit analysis
• Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART I - discretization, limit analysis
• Contact between elastic perfectly plastic bodies
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