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BRIEF NOTES

Alternative Derivation of Marguerre’s Displacement Solution in Plane Isotropic Elasticity

[+] Author and Article Information
X.-L. Gao

Department of Aeronautics and Astronautics, Air Force Institute of Technology, 2950 P Street, Wright-Patterson Air Force Base, OH 45433-7765

J. Appl. Mech 67(2), 419-421 (Nov 22, 1999) (3 pages) doi:10.1115/1.1303801 History: Received August 11, 1999; Revised November 22, 1999
Copyright © 2000 by ASME
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References

Muskhelishvili, N. I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen, The Netherlands.
Teodorescu,  P. P., 1964, “One Hundred Years of Investigations in the Plane Problem of the Theory of Elasticity,” Appl. Mech. Rev., 17, pp. 175–186.
Gao,  X.-L., 1996, “A General Solution of an Infinite Elastic Plate With an Elliptic Hole Under Biaxial Loading,” Int. J. Pressure Vessels Piping, 67, pp. 95–104.
Marguerre,  V. K., 1933, “Ebenes und achsensymmetrisches Problem der Elastizitätstheorie,” Z. Angew. Math. Mech., 13, pp. 437–438.
Little, R. W., 1973, Elasticity, Prentice-Hall, Englewood Cliffs, NJ.
Barber, J. R., 1992, Elasticity, Kluwer Academic, Dordrecht, The Netherlands.
Marguerre,  V. K., 1955, “Ansätze zur Lösung der Grundgleichungen der Elastizitätstheorie,” Z. Angew. Math. Mech., 35, pp. 242–263.
Chou, P. C., and Pagano, N. J., 1967, Elasticity: Tensor, Dyadic, and Engineering Approaches, Van Nostrand, Princeton, NJ.
Gao,  X.-L., 1998, “A Mathematical Analysis of the Elasto-Plastic Plane Stress Problem of a Power-Law Material,” IMA J. Appl. Math., 60, pp. 139–149.
Gao,  X.-L., 1999, “An Exact Elasto-Plastic Solution for the Plane Wedge Problem of an Elastic Linear-Hardening Material,” Math. Mech. Solids, 4, 289–306.
Gao. X.-L., 2000, “Two Displacement Methods for In-Plane Deformations of Orthotropic Linear Elastic Materials,” submitted for publication.
Wang,  L., 1985, “On General Solution of Problem of Elastic Shallow Thin Shells,” Acta Mech. Sin., 17, pp. 64–71.
Gurtin, M. E., 1972, “The Linear Theory of Elasticity,” Handbuch der Physik, Vol VIa/2, C. Truesdell, ed., Springer-Verlag, Berlin, pp. 1–295.
Truesdell,  C., 1959, “Invariant and Complete Stress Functions for General Continua,” Arch. Ration. Mech. Anal., 4, pp. 1–29.
Raack, W., 1989, Ebene Flächentragwerke, Scheiben, Schriftenreihe Ebene Flächentragwerke, Band 2, Technische Universität Berlin Press, Berlin, Germany.
Lurie, S. A., and Vasiliev, V. V., 1995, The Biharmonic Problem in the Theory of Elasticity, Gordon and Breach, Luxembourg.

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