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An interfacial arc
crack in bonded dissimilar isotropic laminated plates
Xu Wang, Cuiying Wang and Peter Schiavone |
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Vol. 12 (2017), No. 3, 249–262
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Abstract |
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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
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Milestones
Received: 6 April 2016
Revised: 19 September 2016
Accepted: 16 November 2016
Published: 9 February 2017
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Authors |
| Xu Wang | |
| School of Mechanical and Power
Engineering East China University of Science and Technology 130 Meilong Road Shanghai, 200237 China |
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| Cuiying Wang | |
| School of Mechanical and Power
Engineering East China University of Science and Technology 130 Meilong Road Shanghai, 200237 China |
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| 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 |
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