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TECHNICAL PAPERS

Generalized Bending of a Large, Shear Deformable Isotropic Plate Containing a Circular Hole or Rigid Inclusion

[+] Author and Article Information
C. W. Bert, H. Zeng

School of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, OK 73019-1052

J. Appl. Mech 68(2), 230-233 (Jun 27, 2000) (4 pages) doi:10.1115/1.1348014 History: Received December 06, 1999; Revised June 27, 2000
Copyright © 2001 by ASME
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References

Bickley,  W. G., 1924, “The Effect of a Hole in a Bent Plate,” Philos. Mag., 6th Ser., 48, pp. 1014–1024.
Lekhnitskii, S. G., 1936, according to G. Savin, Stress Concentration Around Holes, English translation of 1951 Russian edition, Pergamon, New York, 1961, p. 322.
Goodier,  J. N., 1936, “The Influence of Circular and Elliptical Holes on the Transverse Flexure of Elastic Plates,” Philos. Mag., 7th Ser., 22, pp. 69–80.
Bert,  C. W., 1988, “Generalized Bending of a Large Plate Containing a Circular Hole,” Mech. Res. Commun., 15, No. 1, pp. 55–60.
Goland,  M., 1943, “The Influence of the Shape and Rigidity of an Elastic Inclusion on the Transverse Flexure of Thin Plates,” ASME J. Appl. Mech., 10, pp. A69–A75.
Reissner,  E., 1945, “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,” ASME J. Appl. Mech., 12, pp. A69–A77.
Reissner,  E., 1983, “Stress Couple Concentrations for Cylindrically Bent Plates With Circular Holes or Rigid Inclusions,” ASME J. Appl. Mech., 50, pp. 85–87.
Cheng,  S., 1979, “Elasticity Theory of Plates and a Refined Theory,” ASME J. Appl. Mech., 46, pp. 644–650.
Chen,  P. S., and Archer,  R. R., 1989, “Stress Concentration Factors due to the Bending of a Thick Plate with Circular Hole,” Ing.-Arch., 59, pp. 401–411.
Hirsch,  R. A., 1952, “Effect of Rigid Circular Inclusion on Bending of Thick Elastic Plate,” ASME J. Appl. Mech., 19, pp. 28–32.
Alblas, J. B., 1957, “Theorie van de Driedimensionale Spanningstoestad in een Doorboorde Plaat,” dissertation, Delft. See Chen and Archer (9).
Dumont, C., 1939, “Stress Concentration Around an Open Circular Hole in a Plate Subjected to Bending Normal to the Plane of the Plate,” National Advisory Committee for Aeronautics, Technical Note No. 740.
Reissner,  E., 1980, “On the Analysis of First and Second-Order Shear Deformation Effects for Isotropic Elastic Plates,” ASME J. Appl. Mech., 47, pp. 959–961.
Abramovich, M., and Stegun, I. A., 1964, Handbook of Mathematical Functions, Applied Mathematics Series, No. 55, National Bureau of Standards, U.S. Department of Commerce.

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