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
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
Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70)
Related Items (1)
Cites Work
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- 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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