Abstract
A direct boundary element method (BEM) implementation for the dynamic interaction analysis in the frequency domain of 2D rigid structures with elastic orthotropic media is presented. The BEM implementation is based on non-singular full-space influence functions. The rigid structure response is obtained by applying equilibrium and kinetic compatibility conditions. The method is applied to the analysis of the dynamic response of a rigid tunnel in a half-space with various elasticity principal axes inclinations and to the analysis of two rigid rectangular galleries in a half space with various distances between them.
Similar content being viewed by others
References
Barros, P., 'Elastodynamics of transversely isotropic media: Green's functions and boundary element method analysis of the soil-structure interaction', PhD Thesis, Faculty of Mechanical Engineering, University of Campinas, 1997 (in Portuguese).
Barros, P. and Mesquita Neto, E., 'Elastodynamic Green's functions for orthotropic plane strain continua with inclined axis of symmetry', Int. J. Solids Struct. 36(31-32) (1999a) 4767-4788.
Barros, P. and Mesquita Neto, E., 'A non-singular version of the indirect boundary element method applied to stationary response of elastic domains', In: Proc. 13th ASCE Engineering Mechanics Division Conf., 1999b, Published on CD-ROM.
Beskos, D., 'Boundary element methods in dynamic analysis', Appl. Mech. Rev. 40(1) (1987) 1-23.
Beskos, D., 'Boundary element methods in dynamic analysis: Part II (1986-1996)', Appl. Mech. Rev. 50(3) (1997) 149-197.
Christensen, R., Theory of Viscoelasticity - An Introduction, Academic Press, 1982.
Crouch, S.L. and Starfield, A.M., Boundary Element Methods in Solid Mechanics, George Allen & Unwin, 1983.
Gazetas, G., 'Strip foundations on a cross-anisotropic soil layer subjected to dynamic loading', Géotechnique 31(2) (1981) 161-179.
Manolis, G. and Beskos, D., Boundary Element Methods in Elastodynamics, Unwin Hyman, 1988.
Rajapakse, R. and Wang, Y., 'Elastodynamic Green's functions of orthotropic half plane', J. Engng Mech. ASCE 117(3) (1991) 588-604.
Stamos, A. and Beskos, D., 'Dynamic analysis of large 3-D underground structures by the BEM', Earthquake Engng Struct. Dyn. 24(1) (1995) 917-934.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Barros, P.L.d.A., Neto, E.d.M. On the Dynamic Interaction and Cross-Interaction of 2D Rigid Structures with Orthotropic Elastic Media Possessing General Principal Axes Orientation. Meccanica 36, 367–378 (2001). https://doi.org/10.1023/A:1015093007902
Issue Date:
DOI: https://doi.org/10.1023/A:1015093007902