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Article

Green’s Functions for Holes/Cracks in Laminates With Stretching-Bending Coupling

[+] Author and Article Information
Chyanbin Hwu

Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, ROCe-mail: chwu@mail.ncku.edu.tw

J. Appl. Mech 72(2), 282-289 (Mar 15, 2005) (8 pages) doi:10.1115/1.1839589 History: Received March 09, 2004; Revised August 27, 2004; Online March 15, 2005
Copyright © 2005 by ASME
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References

Muskhelishvili, N. I., 1954, Some Basic Problem of the Mathematical Theory of Elasticity, Noordhoff, Groningen pp. 339–355, 461–534.
Savin, G. N., 1961, Stress Concentration Around Holes, Pergamon, London pp. 41–391.
Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day Inc., San Francisco pp. 153–174.
Lekhnitskii, S. G., 1968, Anisotropic Plates, Gordon and Breach, N.Y pp. 157–419.
Ting, T. C. T., 1996, Anisotropic Elasticity—Theory and Applications, Oxford Science, New York pp. 371–439.
Becker,  W., 1991, “A Complex Potential Method for Plate Problems With Bending Extension Coupling,” Arch. Appl. Mech., 61, pp. 318–326.
Lu,  P., and Mahrenholtz,  O., 1994, “Extension of the Stroh Formalism to an Analysis of Bending of Anisotropic Elastic Plates,” J. Mech. Phys. Solids, 42, No. 11, pp. 1725–1741.
Cheng,  Z. Q., and Reddy,  J. N., 2002, “Octet Formalism for Kirchhoff Anisotropic Plates,” Proc. R. Soc. London, Ser. A, 458, pp. 1499–1517.
Chen,  P., and Shen,  Z., 2001, “Extension of Lekhnitskii’s Complex Potential Approach to Unsymmetric Composite Laminates,” Mech. Res. Commun., 28, No. 4, pp. 423–428.
Yin,  W. L., 2003, “General Solutions of Anisotropic Laminated Plates,” ASME J. Appl. Mech., 70, No. 4, pp. 496–504.
Hwu,  C., 2003, “Stroh-Like Formalism for the Coupled Stretching-Bending Analysis of Composite Laminates,” Int. J. Solids Struct., 40, No. 13–14, pp. 3681–3705.
Becker,  W., 1992, “Closed-Form Analytical Solutions for a Griffith Crack in a Non-Symmetric Laminate Plate,” Compos. Struct., 21, pp. 49–55.
Becker,  W., 1993, “Complex Method for the Elliptical Hole in an Unsymmetric Laminate,” Arch. Appl. Mech., 63, pp. 159–169.
Zakharov,  D. D., and Becker,  W., 2000, “Boundary Value Problems for Unsymmetric Laminates, Occupying a Region With Elliptic Contour,” Compos. Struct., 49, pp. 275–284.
Chen,  P., and Shen,  Z., 2001, “Green’s Functions for an Unsymmetric Laminated Plate With an Elliptic Hole,” Mech. Res. Commun., 28, No. 5, pp. 519–524.
Hsieh,  M. C., and Hwu,  C., 2003, “Explicit Solutions for the Coupled Stretching-Bending Problems of Holes in Composite Laminates,” Int. J. Solids Struct., 40, No. 15, pp. 3913–3933.
Chen,  P., and Shen,  Z., 2003, “Stress Resultants and Moments Around Holes in Unsymmetrical Composite Laminates Subjected to Remote Uniform Loading,” Mech. Res. Commun., 30, pp. 79–86.
Hwu,  C., 2004, “Green’s Function for the Composite Laminates With Bending Extension Coupling,” Compos. Struct., 63, pp. 283–292.
Stroh,  A. N., 1958, “Dislocations and Cracks in Anisotropic Elasticity,” Philos. Mag., 7, pp. 625–646.
Hsieh,  M. C., and Hwu,  C., 2002, “Explicit Expressions of the Fundamental Elasticity Matrices of Stroh-Like Formalism for Symmetric/Unsymmetric Laminates,” Chinese Journal of Mechanics-Series A,18, No. 3, pp. 109–118.
Becker,  W., 1995, “Concentrated Forces and Moments on Laminates With Bending Extension Coupling,” Compos. Struct., 30, pp. 1–11.
Hwu,  C., and Yen,  W. J., 1991, “Green’s Functions of Two-Dimensional Anisotropic Plates Containing an Elliptic Hole,” Int. J. Solids Struct., 27, No. 13, pp. 1705–1719.
Hwu,  C., and Yen,  W. J., 1993, “On the Anisotropic Elastic Inclusions in Plane Elastostatics,” ASME J. Appl. Mech., 60, pp. 626–632.
Wu,  K. C., 1989, “Representations of Stress Intensity Factors by Path-Independent Integrals,” ASME J. Appl. Mech., 56, pp. 780–785.
Hwu,  C., 1993, “Explicit Solutions for the Collinear Interface Crack Problems,” Int. J. Solids Struct., 30, No. 3, pp. 301–312.

Figures

Grahic Jump Location
An elliptic hole in laminates subjected to concentrated forces and moments

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