Existence and regularity of solutions for an evolution model of perfectly plastic plates

DOI10.3934/cpaa.2019084zbMath1412.74013arXiv1804.01899OpenAlexW2795845183WikidataQ128453156 ScholiaQ128453156MaRDI QIDQ2415183

Paolo Gidoni, Riccardo Scala, G. B. Maggiani

Publication date: 20 May 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01899

zbMATH Keywords

thin platesperfect plasticitydynamic evolutionfunctions of bounded deformationfunctions of bounded HessianPrandtl-Reuss plasticity

Mathematics Subject Classification ID

Plates (74K20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

• Fonctions à hessien borné
• Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion
• Dual spaces of stresses and strains, with applications to Hencky plasticity
• Stress regularity for a new quasistatic evolution model of perfectly plastic plates
• Regularity of stresses in Prandtl-Reuss perfect plasticity
• Quasistatic evolution in the theory of perfect elasto-plastic plates. II: Regularity of bending moments.
• Existence results for energetic models for rate-independent systems
• Rate-independent systems. Theory and application
• A quasistatic evolution model for perfectly plastic plates derived by \(\varGamma\)-convergence
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• A dynamic evolution model for perfectly plastic plates
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• QUASISTATIC EVOLUTION IN THE THEORY OF PERFECTLY ELASTO-PLASTIC PLATES PART I: EXISTENCE OF A WEAK SOLUTION
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