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Title: An Inclusion Of Arbitrary Shape In An Infinite Or Semi-infinite Isotropic Multilayered Plate
Authors: Wang, Xu
Zhou, Kun
Keywords: Complex variable method
Isotropic laminated plate
Eshelby inclusion
Issue Date: 2014
Source: Wang, X., & Zhou, K. (2014). An Inclusion Of Arbitrary Shape In An Infinite Or Semi-infinite Isotropic Multilayered Plate. International Journal of Applied Mechanics. 6(1), 1450001-.
Series/Report no.: International Journal of Applied Mechanics
Abstract: This paper proposes a simple method based on analytical continuation and conformal mapping to obtain an analytic solution for a two-dimensional arbitrarily shaped Eshelby inclusion with uniform main plane eigenstrains and eigencurvatures in an infinite or semi-infinite isotropic laminated plate. The main plane of the plate is chosen in such a way that the in-plane displacements and out-of-plane deflection on the main plane are decoupled in the equilibrium equations. Consequently, the complex potential formalism for the isotropic laminate can be readily and elegantly established. One remarkable feature of the present method is that simple elementary expressions can be obtained for the internal elastic field within the inclusion of any shape in an infinite laminated plate. Several examples are presented to illustrate the general method.
DOI: 10.1142/S175882511450001X
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2014 Imperial College Press.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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