Large displacement analysis of plates by a stress-based finite element approach

DOI10.1016/0045-7949(86)90339-1zbMath0589.73065OpenAlexW2077572601MaRDI QIDQ3718270

E. F. Punch, Satya N. Atluri

Publication date: 1986

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(86)90339-1

zbMATH Keywords

Lagrange multipliersshellsthin platestotal Lagrangian formulationKirchhoff-Love hypothesesmoderately large rotationstruncated Taylor series expansionlaterally loadedinterelement traction reciprocitya posteriori angular momentum balancea priori satisfaction of linear momentum balanceincremental modified Newton-Raphson solution procedureIsoparametric eight-noded elementsmixed-hybrid incremental variational formulationorthogonal rigid rotationsright polar decomposition of the deformation gradientSemilinear elastic isotropic material propertiesset of variational principlessymmetric stretch tensorsymmetrized Biot-Luré (Jaumann) stress measureunique complementary energy densityVon Kármán plate theory

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Membranes (74K15) Variational principles of physics (49S05)

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