Second-order linear plate theories: Partial differential equations, stress resultants and displacements

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:115

Article

Kienzler, R.¹  Schneider, P.¹ 

[1] Univ Bremen, Bremen Inst Mech Engn Bime, Dept Prod Engn, Biol Garten 2, D-28359 Bremen, Germany

关键词: Uniform-approximation technique;    Pseudo-reduction approach;    Consistent plate theory;    Second-order theory;    Stress resultants;    Displacements;   

DOI  :  10.1016/j.ijsolstr.2017.01.004

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Ltd. All rights reserved.

【 授权许可】

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