Variational Problems for Föppl--von Kármán Plates

DOI10.1137/17M1115502zbMath1394.49014arXiv1702.05922MaRDI QIDQ3130432

Franco Tomarelli, Francesco Maddalena, Danilo Percivale

Publication date: 22 January 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05922

zbMATH Keywords

elasticitysingular perturbationscritical pointsasymptotic analysiscalculus of variationsMonge-Ampère equation\(\Gamma\)-convergencenonlinear Neumann problemsFöppl-von Kármánmechanical instabilities

Mathematics Subject Classification ID

Brittle fracture (74R10) Thin films (74K35) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45) Junctions (74K30)

Related Items (7)

Linearization of elasticity models for incompressible materials ⋮ A mixed variational principle for the Föppl-von Kármán equations ⋮ A new variational approach to linearization of traction problems in elasticity ⋮ A variational property of the von Kármán plate problem ⋮ Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity ⋮ The gap between linear elasticity and the variational limit of finite elasticity in pure traction problems ⋮ Elastic-brittle reinforcement of flexural structures

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