QUASISTATIC EVOLUTION IN THE THEORY OF PERFECTLY ELASTO-PLASTIC PLATES PART I: EXISTENCE OF A WEAK SOLUTION

DOI10.1142/S0218202509003413zbMath1160.74031MaRDI QIDQ3620380

Alexey V. Demyanov

Publication date: 14 April 2009

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

zbMATH Keywords

variational theorybounded hessian

Mathematics Subject Classification ID

Plates (74K20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (7)

Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation ⋮ Existence and regularity of solutions for an evolution model of perfectly plastic plates ⋮ Stress regularity for a new quasistatic evolution model of perfectly plastic plates ⋮ A quasistatic evolution model for perfectly plastic plates derived by \(\varGamma\)-convergence ⋮ Regularity of stresses in Prandtl-Reuss perfect plasticity ⋮ A dynamic evolution model for perfectly plastic plates ⋮ Quasistatic evolution in the theory of perfect elasto-plastic plates. II: Regularity of bending moments.

Cites Work

• Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates
• Dual spaces of stresses and strains, with applications to Hencky plasticity
• On the extremal stress and displacement in Hencky plasticity
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• Sublinear functions of measures and variational integrals
• Strong convergence results related to strict convexity

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