On large strain deformations of shells

DOI10.1007/BF01176879zbMath0602.73035MaRDI QIDQ1082123

J. Makowski, H. Stumpf

Publication date: 1987

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

zbMATH Keywords

weak solutionlarge strainequilibrium equationsnonlinear shell theorymodified Kirchhoff hypothesisstress resultantsthickness changesstress couplescylindrical deformationhighly nonlinear materialsisochoric deformationlarge bending deformationsshift in the location of the original midsurfacestationary principle of total potential energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15)

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Cites Work

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• On approximate large strain relations for a shell of revolution
• Lagrangian description and incremental formulation in the nonlinear theory of thin shells
• On the nonlinear buckling and post-buckling analysis of thin elastic shells
• Large-strain constitutive laws for the cylindrical deformation of shells
• Large elastic deformations of shells with the inclusion of transverse normal strain
• A current trend in shell theory: Constrained geometrically nonlinear Kirchhoff-Love type theories based on polar decomposition of strains and rotations