Second-order linear plate theories: Partial differential equations, stress resultants and displacements. (1st June 2017)

• Record Type: Journal Article
• Authors: Kienzler, R.; Schneider, P.
• Is Part Of: International journal of solids and structures. Volume 115/116(2017)
• Page Start: 14
• Page End: 26
• Publication Date: 2017-06-01
• Subjects: Uniform-approximation technique -- Pseudo-reduction approach -- Consistent plate theory -- Second-order theory -- Stress resultants -- Displacements; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2017.01.004
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: By combining the uniform-approximation technique with the pseudo-reduction approach, a consistent second-order plate theory is developed with recourse to neither kinematical assumptions nor to shear-correction factors by truncation of the elastic energy. The governing partial differential equations and the expressions for the stress resultants are compared with those of other authors. Free coefficients of the resulting displacement "ansatz" are determined a posteriori, in order to satisfy three-dimensional boundary conditions and local equilibrium equations.