Affiliation:
1. e-mail:
2. e-mail: Department of Mechanics, Tianjin University, Tianjin 300072, China
Abstract
This paper studies how to improve the third-order shear deformation theories of isotropic plates, which is a question raised by late Reissner in 1985 (ASME Appl. Mech. Rev., 38, pp.1453–1464). It is demonstrated in this paper that a proper displacement field with the higher-order shear deformations given by the method of displacement assumption should satisfy the constraint on the consistence of the transverse shear strain energy a priori in addition to the traction conditions on plate surfaces. This additional constraint on the assumed displacement fields with the higher-order shear deformations is in line with Love's criterion of the consistent first approximation to the strain energy wherein the transverse shear strain energy is included. The constraint on the consistence of the transverse shear strain energy is physically similar to the requirement for the use of the shear coefficients in the first-order shear deformation plate theories proposed by Reissner and Mindlin, respectively. A procedure to improve the assumed displacement field with the third-order shear deformations is presented. The present study shows that the various displacement fields with the simple third-order shear deformations would be identical when the constraint on the consistence of the transverse shear strain energy is enforced.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference30 articles.
1. Reflection on the Theory of Elastic Plates;ASME J. Appl. Mech. Rev.,1985
2. An Accurate Simple Theory of Statics and Dynamics of Elastic Plates;Mech. Res. Commun.,1980
3. An Improved Transverse Shear Deformation Theory for Laminate Anisotropic Plates,1981
4. A Simple Higher-Order Theory for Laminated Composite Plates;ASME J. Appl. Mech.,1984
5. A New Simple Third-Order Shear Deformation Theory of Plates;Int. J. Solids Struct.,2007
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献