TECHNICAL PAPERS
Jan 1, 1987

New Axisymmetric BEM Formulation for Body Forces Using Particular Integrals

Publication: Journal of Engineering Mechanics
Volume 113, Issue 5

Abstract

A new boundary element formulation is introduced for the treatment of gravitational and centrifugal body forces in axisymmetric elastic media. This new formulation is based on the method of particular integrals, which require neither volume nor surface integration for the treatment of body forces. Particular integrals for both gravitational and centrifugal body forces are derived and all kernel functions are defined in an appendix. The formulation is implemented into a multiregion system that utilizes quadratic isoparametric shape functions to model the geometry and field variables on the boundary of the body. A number of examples of practical interest have been included to demonstrate the power and versatility of the present formulation.

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References

1.
Abramowitz, M., and Stegun, I. A., Handbook of Mathematical Functions, Dover, New York, 1974.
2.
Bakr, A. A., and Fenner, R. T., “Boundary Integral Equation Analysis of Axisymmetric Thermoelastic Problems,” Journal of Strain Analysis, Vol. 18, No. 4, 1983, pp. 239–251.
3.
Banerjee, P. K., and Butterfield, R., Boundary Element Methods in Engineering Science, McGraw‐Hill, London, UK, 1981.
4.
Butterfield, R., and Banerjee, P. K., “The Elastic Analysis of Compressible Piles and Pile Groups,” Geotechnique, Vol. 21, 1971, pp. 43–60.
5.
Cruse, T. A., “An Improved Boundary Integral Equation Method for Three‐Dimensional Elastic Stress Analysis,” International Journal of Computers and Structures, 4, 1973, pp. 741–757.
6.
Cruse, T. A., Snow, D. W., and Wilson, R. B., “Numerical Solutions in Axisymmetric Elasticity,” Computers and Structures, Vol. 7, 1977, pp. 445–451.
7.
Danson, D. J., “A Boundary Element Formulation of Problems in Linear Isotropic Elasticity with Body Forces,” Proceedings, 3rd International Seminar on Recent Advances in Boundary Element Methods, Irvine, Calif., pp. 105–122.
8.
Kamiya, N., and Sawaki, Y., “An Efficient BEM for Some Inhomogeneous and Nonlinear Problems,” Proceedings, 7th International Conference on Boundary Element Methods, Lake Como, Italy, Sep., 1985, pp. 13–59 to 13–68.
9.
Kermanidis, T., “A Numerical Solution for Axially Symmetrical Elasticity Problems,” International Journal of Solids and Structures, Vol. 11, 1975, pp. 493–500.
10.
Mayr, M., Drexler, W., and Kuhn, G., “A Semianalytical Boundary Integral Approach for Axisymmetric Elastic Bodies with Arbitrary Boundary Conditions,” International Journal of Solids and Structures, Vol. 16, 1980, pp. 863–871.
11.
Nardini, D., and Brebbia, C. A., “A New Approach to Free Vibration Analysis using Boundary Elements,” Proceedings, 4th International Seminar, Southampton, England, Sep., 1982, pp. 313–326.
12.
Nigam, R. K., “The Boundary Integral Equation Method for Elastostatics Problems Involving Axisymmetric Geometry and Arbitrary Boundary Conditions,” thesis presented to the University of Kentucky, at Lexington, Ky., in 1979, in partial fulfillment of the requirements for the degree of Master of Science.
13.
Rizzo, F. J., and Shippy, D. J., “An Advanced Boundary Integral Equation Method for Three‐Dimensional Thermoelasticity,” International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 1753–1768.
14.
Rizzo, F. J., and Shippy, D. J., “A Boundary Element Method for Axisymmetric Elastic Bodies,” Developments in Boundary Element Methods, Vol. 4, Chap. 3, P. K. Banerjee, and J. O. Watson, Eds., Applied Science Publishers, London, UK, 1986, pp. 67–90.
15.
Sarihan, V., and Mukherjee, S., “Axisymmetric Viscoplastic Deformation by the Boundary Element Method,” International Journal of Solids and Structures, Vol. 18, 1982, pp. 1113–1128.
16.
Tan, C. T., “Interior Point Solution for Boundary Integral Equation Axisymmetric Stress Analysis,” Applied Mathematical Modelling, Vol. 8, Feb., 1984, pp. 57–60.
17.
Terzaghi, K., Theoretical Soil Mechanics, John Wiley and Sons, New York, N.Y., 1943.
18.
Watson, J. O. “Advanced Implementation of the Boundary Element Method for Two and Three‐Dimensional Elastostatics,” Developments in BEM, Vol. 1, Chap. 3, P. K. Banerjee and R. Butterfield, Eds., Applied Science Publishers, London, UK, pp. 31–63.
19.
Zienkiewicz, O. C., The Finite Element Method, McGraw‐Hill, London, UK, 1977.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 5January 1987
Pages: 671 - 688

History

Published online: Jan 1, 1987
Published in print: Jan 1987

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Authors

Affiliations

Donald P. Henry, Jr.
Grad. Student, Dept. of Civ. Engrg., State Univ. of New York at Buffalo, Buffalo, NY 14260
David A. Pape
Grad. Student, Dept. of Civ. Engrg., State Univ. of New York at Buffalo, Buffalo, NY 14260
Prasanta K. Banerjee, M. ASCE
Prof., Dept. of Civ. Engrg., State Univ. of New York at Buffalo, 240 Engineering West, Buffalo, NY 14260

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