The structure of consistent incremental theories for geometrically nonlinear shells and their operator formulation;Zur Struktur konsistenter inkrementeller Theorien für geometrisch nichtlineare Flächentragwerke und deren Operatordarstellung

DOI10.1007/BF00535886zbMath0581.73021OpenAlexW346677020MaRDI QIDQ3703370

Yavuz Başar

Publication date: 1986

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535886

zbMATH Keywords

boundary conditionsdynamic loadsadjoint operatorsshear deformationsbasic equationsoperator formulationgeometrically nonlinear shellscharacteristics of consistent stabilityconsistent operatorsdynamic instability phenomenaequations differentiated by inhomogeneous termsincremental theoriessingle, variationally defined kinematic operatorstructure of consistent theories

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Shells (74K25) Membranes (74K15) Dynamical problems in solid mechanics (74H99)

Related Items

[https://portal.mardi4nfdi.de/wiki/Publication:3470147 Numerische Stabilit�tsanalyse linear und nichtlinear, deformierbarer, parametererregter Schalentragwerke], A consient shell theory for finite deformations, Hermitian-method for the nonlinear analysis of arbitrary thin shell structures, 'Best' transverse shearing and stretching shell theory for nonlinear finite element simulations, Finite element procedures for the nonlinear dynamic stability analysis of arbitrary shell structures, Finite element procedures for parametric resonance phenomena of arbitrary elastic shell structures, Best interior shell equations including transverse shear deformations and thickness changes

Cites Work

• Lagrangian description and incremental formulation in the nonlinear theory of thin shells
• Eine Schalentheorie endlicher Verformungen und ihre Anwendung zur Herleitung der Stabilitätstheorie
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