Closed-form solution of elastic circular membrane with initial stress under uniformly-distributed loads: Extended Hencky solution

DOI10.1002/ZAMM.201400032zbMath1333.74053OpenAlexW2101386661MaRDI QIDQ2799073

Yongsheng Lian, Jun-Yi Sun, Ying-Min Li, Xiao-Ting He, Zhou-Lian Zheng

Publication date: 8 April 2016

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

Full work available at URL: https://doi.org/10.1002/zamm.201400032

zbMATH Keywords

initial stressmembraneaxisymmetric deformationpower series methodHencky solution

Mathematics Subject Classification ID

Membranes (74K15)

Related Items (2)

Closed-form solution of well-known Hencky problem without small-rotation-angle assumption ⋮ 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
• Large deflection of circular membrane under concentrated force
• Exact solution of large deformation basic equations of circular membrane under central force
• The symmetrical deformation of a circular membrane under the action of uniformly distributed loads on its central portion
• Large deformation of circular membrane under the concentrated force
• 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
• On the Solution of a Boundary Value Problem for the Nonlinear Föppl‐Hencky Equation

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