標題: Corner singularities in bi-material Mindlin plates
作者: Huang, CS
土木工程學系
Department of Civil Engineering
關鍵字: stress singularities;eigenfunction expansion;bi-material plates;Mindlin plate theory
公開日期: 1-五月-2002
摘要: An eigenfunction expansion solution is first developed to find stress singualrities for bi-material wedges by directly solving the governing equations of the Mindlin plate theory in terms of displacement components. The singularity orders of moments and shear forces at corners are determined from the corresponding asymptotic solutions having the lowest order in r and satisfying the radial boundary conditions and continuity conditions. The present solution is applied to thoroughly examine the singularities occurring at the interface joint of bonded dissimilar isotropic plates and at the vertex of a bi-material wedge with two simply supported radial edges. The corresponding characteristic equations for determining the singularity orders of moments and shear forces are explicitly given. The singularity orders of moment are shown in graphic form as functions of the flexural rigidity ratio and corner angle, while the shear force singularity orders are given as functions of the corner angle and the shear modulus ratio multiplied by the thickness ratio. The order of moment singularity obtained here for bonded dissimilar plates is also compared with that based on the classical plate theory. (C) 2002 Elsevier Science Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/S0263-8223(02)00018-1
http://hdl.handle.net/11536/28799
ISSN: 0263-8223
DOI: 10.1016/S0263-8223(02)00018-1
期刊: COMPOSITE STRUCTURES
Volume: 56
Issue: 3
起始頁: 315
結束頁: 327
顯示於類別:期刊論文


文件中的檔案:

  1. 000175577800010.pdf