Closed-form solution of well-known Hencky problem without small-rotation-angle assumption

DOI10.1002/ZAMM.201600059MaRDI QIDQ6065088

Yongsheng Lian, Zhixin Yang, Zhou-Lian Zheng, Xiao-Ting He, Jun-Yi Sun

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

closed-form solutionlarge deflectioncircular membranesmall-rotation-angle assumptionuniformly loading

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Boundary value problems for ordinary differential equations (34Bxx) Elastic materials (74Bxx)

Related Items (2)

Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable ⋮ Closed-form solution of a peripherally fixed circular membrane under uniformly distributed transverse loads and deflection restrictions

Cites Work

• Linearly elastic annular and circular membranes under radial, transverse, and torsional loading. I: Large unwrinkled axisymmetric deformations
• The symmetrical deformation of a circular membrane under the action of uniformly distributed loads on its central portion
• Wrinkle-free solutions in the theory of annular elastic membranes
• The solution of large deflection problem of thin circular plate by the method of composite expansion
• Mechanics of shaft-loaded blister test for thin film suspended on compliant substrate
• Closed-form solution of elastic circular membrane with initial stress under uniformly-distributed loads: Extended Hencky solution
• Exact solution for vibration analysis of an eccentric elliptical membrane
• On the Solution of a Boundary Value Problem for the Nonlinear Föppl‐Hencky Equation

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