Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load

DOI10.1007/BF00115555zbMath0732.73029OpenAlexW2079149711MaRDI QIDQ808763

James G. Simmonds, Mary Ann Horn

Publication date: 1990

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00115555

zbMATH Keywords

rotationstress-strain relationsincompressibility constraintaxisymmetricconstant thickness11 possible sets of field equationsconcentrated, downward line loadequilibrated, radially varying, vertical body forceFöppl membrane theoryForce equilibriumfour strainsincompressible Rivlin-Saunders materiallarge strain membrane theorylinear plate theoryset of seven, first-order, quasilinear partial differential equationsshear strainsmooth, upward, exponentially distributed loadthree stretchesvon Kármán plate theoryWu's large-stretch (asymptotic) membrane theory

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (1)

Notes on the nonlinearly elastic Boussinesq problem

Cites Work

• Unnamed Item
• Pointwise errors in the classical and in Reissner's linear theory of plates, especially for concentrated loads
• Large deformations under vertical edge loads of annular membranes with various strain energy densities
• A Necessary Condition on the Strain-Energy Density for a Circular, Rubber-Like Plate to Have a Finite Deflection Under a Concentrated Load
• Asymptotic Solutions of the Von Karman Equations for a Circular Plate Under a Concentrated Load
• Large finite strain membrane problems

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