A general, geometrically linear theory of inelastic thin shells

DOI10.1007/BF01176673zbMath0575.73080OpenAlexW2063735010MaRDI QIDQ1064158

F. G. Kollmann, Subrata Mukherjee

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176673

zbMATH Keywords

variational principletransverse shear strainsmatrix representationdirect approachcoordinate linesorthogonal coordinatesbasis for a finite element approximationfunctional is first projected on the shell spacegeneral theory of inelastic shellsgeometrical linearityinelastic constitutive model with internal state variableskinematics of shellslines of principal curvature of the shell midsurfacemixed tensor representationphysical components of vector and tensor fieldsreduced to the shell midsurfacereduced to two-dimensional theoryshell midsurface base vectors

Mathematics Subject Classification ID

Membranes (74K15)

Related Items

A STRAIN-AND-DISPLACEMENT-BASED VARIATIONAL METHOD APPLIED TO GEOMETRICALLY NON-LINEAR SHELLS ⋮ Numerical analysis of viscoplastic axisymmetric shells based on a hybrid strain finite element ⋮ An integral equation analysis of inelastic shells ⋮ A finite element scheme based on the simplified Reissner equations for shells of revolution ⋮ A general theory of finite deformation of viscoplastic thin shells ⋮ A general, geometrically linear theory of inelastic thin shells

Cites Work

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• Elastoplastic thick shell analysis by viscoplastic solid finite elements
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