RELIABLE SOLUTION OF A TORSION PROBLEM IN HENCKY PLASTICITY WITH UNCERTAIN YIELD FUNCTION

DOI10.1142/S0218202501001148zbMath1037.74028OpenAlexW2007715324MaRDI QIDQ4798890

Ivan Hlaváček

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001148

zbMATH Keywords

convergencesolvabilityfinite element approximationsHaar-Kármán principleminimization of complementary energyconvex set of admissible stresseshomogeneous orthotropic elasto-plastic bar

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) 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) Energy minimization in equilibrium problems in solid mechanics (74G65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

RELIABLE SOLUTION IN STRAIN SPACE OF ELASTOPLASTIC PROBLEMS WITH ISOTROPIC HARDENING AND UNCERTAIN DATA ⋮ On a reliable solution of a Volterra integral equation in a Hilbert space. ⋮ Uncertain input data problems and the worst scenario method.

Cites Work

• Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients
• Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function.
• Sur la régularité de la solution d'inéquations elliptiques

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