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TECHNICAL PAPERS

Stroh Finite Element for Two-Dimensional Linear Anisotropic Elastic Solids

[+] Author and Article Information
Chyanbin Hwu, J. Y. Wu, M. C. Hsieh

Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, R.O.C.

C. W. Fan

Center for Aviation and Space Technology, Industrial Technology Research Institute, Hsinchu, Taiwan, R.O.C.

J. Appl. Mech 68(3), 468-475 (Nov 30, 2000) (8 pages) doi:10.1115/1.1364497 History: Received May 04, 2000; Revised November 30, 2000
Copyright © 2001 by ASME
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References

Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Body, MIR, Moscow.
Stroh,  A. N., 1958, “Dislocations and Cracks in Anisotropic Elasticity,” Philos. Mag., 7, pp. 625–646.
Ting, T. C. T., 1996, Anisotropic Elasticity—Theory and Applications, Oxford Science Publications, New York.
Zienkiewicz, O. C., and Taylor, R. L., 1989, The Finite Element Method—Volume 1: Basic Formulation and Linear Problems, 4rd ed., McGraw-Hill, New York.
Ting,  T. C. T., 1988, “Some Identities and the Structures of Ni the Stroh Formalism of Anisotropic Elasticity,” Q. Appl. Math., 46, pp. 109–120.
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.
Ting,  T. C. T., and Hwu,  C., 1988, “Sextic Formalism in Anisotropic Elasticity for Almost Non-semisimple Matrix N,” Int. J. Solids Struct., 24, No. 1, pp. 65–76.
Hwu,  C., and Ting,  T. C. T., 1990, “Solutions for the Anisotropic Elastic Wedge at Critical Wedge Angles,” J. Elast., 24, pp. 1–20.
Barnett,  D. M., and Lothe,  J., 1973, “Synthesis of the Sextic and the Integral Formalism for Dislocation, Green’s Functions and Surface Waves in Anisotropic Elastic Solids,” Phys. Norv., 7, pp. 13–19.
Hwu,  C., 1993, “Fracture Parameters for Orthotropic Bimaterial Interface Cracks,” Eng. Fract. Mech, 45, No. 1, pp. 89–97.
Reddy, J. N., 1984, An Introduction to the Finite Element Method, McGraw-Hill, New York.
Wu, J. Y., 1999, “Stroh Finite Element Design for Two-Dimensional Anisotropic Elastic Bodies and Its Applications,” M.S. thesis, Institute of Aeronautics and Astronautics, National Cheng Kung University, Taiwan, R.O.C.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, McGraw-Hill, New York.
Hwu,  C., 1992, “Polygonal Holes in Anisotropic Media,” Int. J. Solids Struct., 29, No. 19, pp. 2369–2384.

Figures

Grahic Jump Location
(a) Linear triangular element, (b) traction distribution for the linear element
Grahic Jump Location
(a) Quadratic quadrilateral element, (b) traction distribution for the quadratic element
Grahic Jump Location
(a) An anisotropic rectangular plate subjected to uniform tension, in-plane shear, and antiplane shear (patch 1); (b) an anisotropic rectangular plate subjected to uniform tension, in-plane shear, and antiplane shear (patch 2)
Grahic Jump Location
(a) A linear finite element mesh for a quadrant of the plate with a circular hole under uniform tension, (b) a quadratic finite element mesh for a quadrant of the plate with a circular hole under uniform tension.
Grahic Jump Location
(a) Comparison of the normal stresses on two edges for the plate made of isotropic materials, (b) comparison of the normal stresses on two edges for the plate made of orthotropic materials.
Grahic Jump Location
(a) Deformed configuration and Von Mises stress contour for the plate containing a circular hole (isotropic case), (b) deformed configuration and Von Mises stress contour for the plate containing a circular hole (orthotropic case)

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