An equivalent classical plate model of corrugated structures

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Ye, Zheng¹  Berdichevsky, Victor L.²  Yu, Wenbin³ 

[1] Utah State Univ, Logan, UT 84322 USA

[2] Wayne State Univ, Detroit, MI 48202 USA

[3] Purdue Univ, W Lafayette, IN 47907 USA

关键词: Corrugated structure;    Plate;    Variational asymptotic method;   

DOI  :  10.1016/j.ijsolstr.2014.02.025

来源: Elsevier

【 摘 要 】

An equivalent classical plate model of corrugated structures is derived using the variational asymptotic method. Starting from a thin shell theory, we carry out an asymptotic analysis of the strain energy in terms of the smallness of a single corrugation with respect to the characteristic length of macroscopic deformation of the corrugated structure. We obtained the complete set of analytical formulas for effective plate stiffnesses valid for both shallow and deep corrugations. These formulas can reproduce the wellknown classical plate stiffnesses when the corrugated structure is degenerated to a flat plate. The extension-bending coupling stiffnesses are obtained the first time. The complete set of relations are also derived for recovering the local fields of corrugated structures. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

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