Universal solutions for general and area-preserving isotropic elastic membranes

DOI10.1007/BF00280405zbMath0494.73063MaRDI QIDQ1169325

Wan-Lee Yin

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

strong solutionsweak solutionslarge deformationsuniversal solutionsfour caseschange of membrane surface areasconstant principal stretchesconstantly normally pressurizedhomogeneous isotropic elastic membranesmembranes which cannot change surface areasuniform or non-uniform principal stretches

Mathematics Subject Classification ID

Shells (74K25) Applications of Lie groups to the sciences; explicit representations (22E70) Membranes (74K15) Dynamical problems in solid mechanics (74H99)

Related Items (3)

The patching in neo-Hookean membranes ⋮ Closing up a hole in neo-Hookean membrane ⋮ Normal configurations and the nonlinear elastostatic problems of bending, torsion, expansion, and eversion for compressible bodies

Cites Work

• Unnamed Item
• Universal solutions for isotropic elastic membranes
• Large deformation possible in every isotropic elastic membrane

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