On approximate large strain relations for a shell of revolution

DOI10.1016/0020-7462(85)90045-9zbMath0553.73057OpenAlexW2020822560MaRDI QIDQ759534

Larry A. Taber

Publication date: 1985

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(85)90045-9

zbMATH Keywords

accuracyexponentiallimitationssensitiveincompressible materialsMooney-Rivlinapproximations for stress and strainComparison of results for large bending at a clamped edgecylindrical and spherical shellselastic shells of revolutiongeometric and constitutive relationslarge axisymmetric strainmodified Kirchhoff hypothesisneglects transverse shear deformationstress resultantssymmetric motion of points relative to the reference surfacethickness changestwo types of strain energy density functions

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Theory of constitutive functions in solid mechanics (74A20)

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