2-D time-harmonic BEM for solids of general anisotropy with application to eigenvalue problems

Journal of Sound and Vibration

Volumn 261, Issue 2, 2003, Pages 247-276

  Denda, M ^a   Wang, C Y ^b   Yong, Y K ^c  

^a RUTGERS UNIVERSITY   (United States)

^b SCHLUMBERGER DOLL RESEARCH   (United States)

^c Rutgers University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANISOTROPY; BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; SOLIDS; TWO DIMENSIONAL;

RADON TRANSFORM; TIME HARMONIC DYNAMIC PROBLEMS;

VIBRATIONS (MECHANICAL);

EID: 0037456991     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)00957-4     Document Type: Article

References (14)

1. J. Wang, Y.-K. Yong, T. Imai, Finite element analysis of the piezoelectric vibrations of quartz plate resonators with higher order plate theory, International Journal of Solids and Structures 36 (1999) 2303-2319.
2. M. Kitahara, Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates, Elsevier, Amsterdam, 1985.
3. A.N. Norris, Dynamic Green's functions in anisotropic piezoelectric, thermoelastic and poroelastic solids, Proceedings of Royal Society of London A 447 (1994) 175-188.
4. C.Y. Wang, J.D. Achenbach, Elastodynamic fundamental solutions for anisotropic solids, Geophysical Journal International 118 (1994) 384-392.
5. D. Nardini, C.A. Brebbia, A new approach to free vibration analysis using boundary elements, in: C.A. Brebbia (Ed.), Boundary Element Methods in Engineering, Springer, Berlin, 1982, pp. 312-326.
6. N. Kamiya, E. Andoh, K. Nogae, Eigenvalue analysis by the boundary element method, Engineering Analysis with Boundary Elements 12 (1993) 151-162.
7. C.Y. Wang, J.D. Achenbach, Three-dimensional time-harmonic elastodynamic Green's functions for anisotropic solids, Proceedings of Royal Society of London A 449 (1995) 441-458.
8. M. Denda, Mixed mode I, II and III analysis of multiple cracks in plane anisotropic solids by the BEM: a dislocation and point force approach, Engineering Analysis with Boundary Elements 25 (2001) 267-278.
9. C.Y. Wang, 2-D elastostatic Green's functions for general anisotropic solids and generalization of Stroh's formalism, International Journal of Solids and Structures 31 (1994) 2591-2597.
10. C.Y. Wang, J.D. Achenbach, H. Hirose, Two-dimensional time domain BEM for scattering of elastic waves in solids of general anisotropy, International Journal of Solids and Structures 33 (1996) 3843-3864.
11. M. Denda, A dislocation and point force approach to the boundary element method for mixed mode crack analysis of plane anisotropic solids, Journal of Chinese Institute of Engineers 22 (1999) 677-693.
12. C.B. Moler, G.W. Stewart, An algorithm for generalized matrix eigenvalue problems, SIAM Journal of Numerical Analysis 10 (1973) 241-256.
13. N. Kamiya, S.T. Wu, Generalized eigenvalue formulation of the Helmholtz equation by the Treffts method, Engineering Computations 11 (1994) 177-186.
14. J.T. Chen, F.C. Wong, Dual formulation of multiple reciprocity method for the acoustic mode of a cavity with a thin partition, Journal of Sound and Vibration 217 (1998) 75-95.