Vol. 12, No. 3, 2017

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ISSN: 1559-3959
An interfacial arc crack in bonded dissimilar isotropic laminated plates

Xu Wang, Cuiying Wang and Peter Schiavone

Vol. 12 (2017), No. 3, 249–262
Abstract

We consider an arc-shaped crack lying along the interface of a through-thickness circular elastic inhomogeneity in an infinite isotropic laminated thin plate subjected to bending and stretching within the context of classical Kirchhoff theory. A novel Stroh-type formalism is developed to reduce the original boundary value problem to a nonhomogeneous Riemann–Hilbert problem of vector form. The latter is solved analytically using a matrix diagonalization scheme. Elegant closed-form solutions are obtained for the stress resultants, in-plane displacements and slopes everywhere in the composite when the plate is subjected to remote uniform membrane stress resultants and bending moments. In particular, the surface stress resultants and surface bending moment along the bonded part of the interface, the jump in the generalized displacement vector across the debonded segment of the interface and the two complex intensity factors at each of the two crack tips are given in explicit form.

Keywords
isotropic laminated plate, circular inhomogeneity, Kirchhoff plate theory, arc-shaped crack, complex variable method, Stroh-type formalism
Milestones
Received: 6 April 2016
Revised: 19 September 2016
Accepted: 16 November 2016
Published: 9 February 2017
Authors
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
130 Meilong Road
Shanghai, 200237
China
Cuiying Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
130 Meilong Road
Shanghai, 200237
China
Peter Schiavone
Department of Mechanical Engineering
University of Alberta
10-203 Donadeo Innovation Center for Engineering
9211-116 Street NW
Edmonton AB T6G 1H9
Canada