TECHNICAL PAPERS
Nov 1, 1990

Orthotropic Laminates on Elastic Foundation under Transverse Force

Publication: Journal of Engineering Mechanics
Volume 116, Issue 11

Abstract

An indentation problem of infinite specially orthotropic laminates on an elastic foundation is solved. The applied load is taken to be uniformly distributed over a finite but small rectangular area. Friction between the laminate and foundation is neglected. The Fourier transform technique is used to formulate and solve the problem in the Fourier domain. The inverse transformation is performed by using the Gaussian integration scheme, in which symmetry of the transformed responses due to material orthotropy is employed. Distributions of interlaminar normal and shear stresses in the vicinity of the applied load are found and the variation of the stresses through the thickness in the interior and at the layer interfaces is displayed. Dependence of the stress components on the material orthotropy is found. The effect of the foundation stiffness on the interlaminar normal stress is also investigated.

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References

1.
Cairns, D. S., and Lagace, P. A. (1987). “Thick composite plates subjected to lateral loading.” J. Appl. Mech. 54(3), 611–616.
2.
Chen, C. F., and Gurdal, Z. (1990). “Stress analysis of an orthotropic plate on an elastic foundation with a transverse point load.” J. Aerospace Engrg., ASCE, 3(1), 64–77.
3.
Dahan, M., and Zarka, J. (1977). “Elastic contact between a sphere and a semiinfinite transversely isotropic body.” Int. J. Solids Structs., Oxford, England, 13(3), 229–238.
4.
Keer, L. M., and Ballarini, R. (1983). “Smooth contact between a rigid indenter and an initially stressed orthotropic beam.” AIAA J., 21(7), 1035–1042.
5.
Keer, L. M., and Miller, G. R. (1983). “Smooth indentation of finite layer.” J. Engrg. Mech., ASCE, 109(3), 706–717.
6.
Keer, L. M., and Miller, G. R. (1983). “Contact between an elastically supported circular plate and a rigid indenter.” Int. J. Engrg. Sci., 21(6), 681–690.
7.
Kelly, J. M. (1967). “The impact of a mass on a beam.” Int. J. Solids Structs., Oxford, England, 3(2), 191.
8.
Pagano, N. J. (1970). “Exact solutions for rectangular bidirectional composites and sandwich plates.” J. Composite Matls., 4(1), 20–34.
9.
Poe, C. C., Jr., and Illg, W. (1987). “Strength of a thick graphite‐epoxy rocket motor case after impact by a blunt object.” NASA Tech. Mentor. 89099, Washington, D.C.
10.
Sankar, B. V., and Sun, C. T. (1983). “Indentation of a beam by a rigid cylinder.” Int. J. Solids Structs., 19(4), 293–303.
11.
Sankar, B. V., and Sun, C. T. (1985). “Smooth indentation of an initially stressed orthotropic beam.” Int. J. Solids Structs., Oxford, England, 21(2), 161–176.
12.
Sankar, B. V. (1987). “Low‐velocity impact response of graphite‐epoxy laminates.” Final Report, Dept. of Engrg. Sci., Univ. of Florida, WPAFB Contract F33615‐84‐C‐5070, Gainesville, Fla.
13.
Sankar, B. V. (1988). “Axisymmetric contact between a rigid sphere and a layered plate.” Proc. 2nd Int. Conf. on Computational Engrg. Sci., Atlanta, Ga., 6.vii1–6.vii4.
14.
Sun, C. T. (1977). “An analytical solution for evaluation of impact damage energy of laminated composites.” 4th Conf. Composite Matl.: Testing and Design, ASTM STP 617, Valley Forge, Pa.
15.
Tan, T. M., and Sun, C. T. (1985). “Use of static indentation laws in the impact analysis of laminated composite plates.” J. Appl. Mech., 52, 6–12.
16.
Turner, J. R. (1980). “Contact on a transversely isotropic halfspace, or between two transversely isotropic bodies.” Int. J. Solids Structs., Oxford, England, 16(5), 409–419.
17.
Willis, J. R. (1966). “Hertzian contact of anisotropic bodies.” J. Mech. Physics and Solids, 14(3), 163–176.
18.
Willis, J. R. (1967). “Boussinesq problems for an anisotropic halfspace.” J. Mech. of Physics and Solids, 15(5), 331–339.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 11November 1990
Pages: 2434 - 2448

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Published online: Nov 1, 1990
Published in print: Nov 1990

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Authors

Affiliations

Chun‐Fu Chen
Grad. Student, Dept. of Engrg. Sci. and Mech., Virginia Polytech. Inst. and State. Univ., Blacksburg, VA 24061
Daniel Frederick, Fellow, ASCE
Alumni Distinguished Prof., Dept. of Engrg. Sci. and Mech., Virginia Polytech. Inst. and State Univ., Blacksburg, VA

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