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Title: Green's functions for infinite and semi-infinite isotropic laminated plates
Authors: Wang, Xu
Zhou, Kun
Keywords: Green's function
Isotropic laminated plate
Issue Date: 2014
Source: Wang, X., & Zhou, K. (2014). Green's functions for infinite and semi-infinite isotropic laminated plates. International Journal of Mechanical Sciences, 80, 169-174.
Series/Report no.: International Journal of Mechanical Sciences
Abstract: The Green's functions for an infinite and a semi-infinite Kirchhoff isotropic laminated plate subjected to concentrated forces, concentrated moments, discontinuous displacements and slopes are obtained. The explicit expressions of the three 4×4 real matrices H, L and S for an isotropic laminated plate are derived by using the complex variable formulation recently developed by the authors. Once the Green's functions for an infinite plate are known, those for a semi-infinite plate can be conveniently obtained by using analytical continuation. The image forces on a point dislocation with discontinuous in-plane displacements and slopes due to its interaction with a rigidly clamped edge and a free edge are presented by using the obtained explicit expressions of H and L. Finally, the surface Green's functions of concentrated forces and moments are obtained as a limiting case of the Green's functions for a semi-infinite plate with a free edge. Some interesting features of the surface Green's functions are observed.
ISSN: 0020-7403
DOI: 10.1016/j.ijmecsci.2014.01.006
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2014 Elsevier.
Fulltext Permission: none
Fulltext Availability: No Fulltext
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