This paper investigates the problem of stretching and bending deformations of a Kirchhoff anisotropic thin plate composed of two dissimilar materials bonded along a straight interface containing a crack. Our analysis makes use of the Stroh octet formalism developed recently by Cheng and Reddy (Cheng and Reddy, 2002, “Octet Formalism for Kirchhoff Anisotropic Plates,” Proc. R. Soc. Lond., A458, pp. 1499–1517; Cheng and Reddy, 2003, “Green’s Functions for Infinite and Semi-Infinite Anisotropic Thin Plates,” ASME J. Appl. Mech., 70, pp. 260–267; Cheng and Reddy, 2004, “Laminated Anisotropic Thin Plate With an Elliptic Inhomogeneity,” Mech. Mater., 36, pp. 647–657; Cheng and Reddy, 2005, “Structure and Properties of the Fundamental Elastic Plate Matrix,” J. Appl. Math. Mech., 85, pp. 721–739) for Kirchhoff anisotropic plates. It is found that the interfacial crack-tip field consists of a pair of two-dimensional oscillatory singularities, which are explicitly determined. Two complex intensity factors are proposed to evaluate the two oscillatory singularities.
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July 2013
Research-Article
Interface Cracks in Kirchhoff Anisotropic Thin Plates of Dissimilar Materials
Xu Wang,
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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Peter Schiavone
Peter Schiavone
Department of Mechanical Engineering
,University of Alberta,
4-9 Mechanical Engineering Building
,Edmonton, AB T6G 2G8,
Canada
Search for other works by this author on:
Xu 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,
4-9 Mechanical Engineering Building
,Edmonton, AB T6G 2G8,
Canada
Manuscript received April 10, 2012; final manuscript received November 12, 2012; accepted manuscript posted November 19, 2012; published online May 23, 2013. Assoc. Editor: George Kardomateas.
J. Appl. Mech. Jul 2013, 80(4): 041025 (4 pages)
Published Online: May 23, 2013
Article history
Received:
April 10, 2012
Revision Received:
November 12, 2012
Accepted:
November 19, 2012
Citation
Wang, X., and Schiavone, P. (May 23, 2013). "Interface Cracks in Kirchhoff Anisotropic Thin Plates of Dissimilar Materials." ASME. J. Appl. Mech. July 2013; 80(4): 041025. https://doi.org/10.1115/1.4023020
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