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  1. Applied Mechanics Reviews
  2. Year: 1985 Volume: 38
  3. Year: 1985 Volume: 38 Issue: 11
  4. Reflections on the Theory of Elastic Plates
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Year: 1985 Volume: 38 Issue: 12
Year: 1985 Volume: 38 Issue: 11
Reflections on the Theory of Elastic Plates
Year: 1985 Volume: 38 Issue: 10

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Reflections on the Theory of Elastic Plates

Content Provider The American Society of Mechanical Engineers (ASME) Digital Collection
Author Reissner, Eric
Copyright Year 1985
Abstract We depart from a three-dimensional statement of the problem of small bending of elastic plates, for a survey of approximate two-dimensional theories, beginning with Kirchhoff’s fourth-order formulation. After discussing various variational statements of the three-dimensional problem, we describe the development of two-dimensional sixth-order theories by Bollé, Hencky, Mindlin, and Reissner which take account of the effect of transverse shear deformation. Additionally, we report on an early analysis by Lévy, on a direct two-dimensional formulation of sixth-order theory, on constitutive coupling of bending and stretching of laminated plates, on higher than sixth-order theories, and on an asymptotic analysis of sixth-order theory which leads to a fourth-order interior solution contribution with first-order transverse shear deformation effects included, as well as to a sequentially determined second-order edge zone solution contribution.
Starting Page 1453
Ending Page 1464
Page Count 12
File Format PDF
ISSN 00036900
e-ISSN 23790407
Journal Applied Mechanics Reviews
Volume Number 38
Issue Number 11
DOI 10.1115/1.3143699
Language English
Publisher The American Society of Mechanical Engineers
Publisher Date 1985-11-01
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Elastic plates Plates (structures) Reflection Shear deformation
Content Type Text
Resource Type Article
Subject Mechanical Engineering
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