Summary
In this paper we deal with the formulation of the axisymmetric boundary integral equation for the transversely isotropic elastic body. We assume that the axis of elastic symmetry is coincident with the axis of rotation and that the elastic body is subjected to arbitrary axisymmetric loading without torsion. Numerical calculations are carried out and compared with results by the finite element method.
Übersicht
Behandelt wird die Formulierung der Randintegralgleichung für den axialsymmetrischen, elastisch transversal-isotropen Körper. Es wird angenommen, daß die Achse der elastischen Symmetrie mit der Rotationsachse zusammenfällt und der Körper einer beliebigen axialsymmetrischen Belastung ohne Torsion unterworfen ist. Ausgeführte numerische Beispiele werden mit Ergebnissen der Finite-Element-Methode verglichen.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Rizzo, F. J.; Shippy, D. J.: A Method for stress determination in plane anisotropic elastic bodies. J. Compos. Mater. 4 (1970) 36–61
Green, A. E.: A Note on stress systems in aerotropic materials-1. Phil. Mag. 34 (1943) 416–420
Vogel, S. M.; Rizzo, F. J.: An integral equation formulation of three dimensional anisotropic elastic boundary value problems. J. Elasticity 3 (1973) 203–216
Wilson R. B.; Cruse, T. A.: Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis. Int. J. Numer. Meth. Eng. 12 (1979) 1383–1397
Snyder, M. D; Cruse, T. A.: Boundary-integral equation analysis of cracked anisotropic plates. Int. J. Fracture 11 (1975) 315–328
Dumir, P. C.; Mehta, A. K.: Boundary element solution for elastic orthotropic half-plane problems. Comput. Struct. 26 (1987) 431–438
Ishida, R.; Ochiai, Y.: On free-space Green's function of a transversely isotropic elastic medium subjected to torsionless ring-like loading. Arch. Appl. Mech. 61 (1991) 222–230
Gradshteyn, I. S.; Ryzhik, I. M.: Tr. Ed. by, Jeffrey, A; Table of integral, series, and products (translation ed. by A. Jeffrey) New York: Academic Press 1965
Abramowitz, M.; Stegun, I. A. (eds.): Handbook of mathematical functions. New York: Dover 1965
Watson, G. N.: A treatise on the theory of Bessel functions (2nd ed.). Cambridge: Cambridge Univ. Press 1944
Mayr, M.: Ein Integralgleichungsverfahren zur Lösung rotationssymmetrischer Elastizitätsprobleme. Diss., Technische Universität München, 1975
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ishida, R., Ochiai, Y. On boundary integral equation formulation for axisymmetric problems of transversely isotropic media. Arch. Appl. Mech. 61, 414–421 (1991). https://doi.org/10.1007/BF00790132
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00790132