On the calculation of displacement, stress, and strain induced by triangular dislocations

Bulletin of the Seismological Society of America

Volumn 102, Issue 6, 2012, Pages 2776-2780

  Gimbutas, Zydrunas ^a   Greengard, Leslie ^a   Barall, Michael ^b   Tullis, Terry E ^c  

^a NEW YORK UNIVERSITY   (United States)

^b Invisible Software   (United States)

^c BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84870764872     PISSN: 00371106     EISSN: 19433573     Source Type: Journal    
DOI: 10.1785/0120120127     Document Type: Note

References (13)

1. Chinnery, M. (1961). The deformation of the ground around surface faults, Bull. Seismol. Soc. Am. 51, 355-372.
2. Comninou, M., and J. Dunders (1975). Angular dislocation in a half space, J. Elast. 5, 203-216.
3. Fata, S. N. (2011). Explicit expressions for three-dimensional boundary integrals in linear elasticity, J. Comput. Appl. Math. 235, 4480-4495.
4. Gray, L. J. (1998). Evaluation of singular and hypersingular Galerkin integrals: Direct limits and symbolic computation, in Singular Integrals in the Boundary Element Method, V. Sladek and J. Sladek (Editors), Computational Mechanics Publications, Southampton, 33-84.
5. Jeyakumaran, M., J. W. Rudnicki, and L. M. Keer (1992). Modeling slip zones with triangular dislocation elements, Bull. Seismol. Soc. Am. 82, 2153-2169.
6. Kuriyama, K., and Y. Mizuta (1993). Three-dimensional elastic analysis by the displacement discontinuity method with boundary division into triangular leaf elements, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 30, 111-123.
7. Meade, B. J. (2007). Algorithms for the calculation of exact displacements, strains, and stresses for triangular dislocation elements in a uniform elastic half space, Comput. Geosci. 33, 1064-1075.
8. Mindlin, B. J. (1936). Force at a point in the interior of a semi-infinite solid, Physics 7, 195-202.
9. Okada, Y. (1985). Surface deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am 75, 1135-1154.
10. Okada, Y. (1992). Internal deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am 82, 1018-1040.
11. Salvadori, A. (2010). Analytical integrations in 3D BEM for elliptic problems: Evaluation and implementation, Int. J. Numer. Meth. Eng. 84, no. 5, 505-542.
12. Thomas, A. (1993). POLY3D: A three-dimensional, polygonal element, displacement discontinuity boundary element computer program with applications to fractures, faults, and cavities in the Earths crust, Master's Thesis, Stanford University, Stanford, California.
13. Zozulya, V. V. (2010). Regularization of hypersingular integrals in 3-D fracture mechanics: Triangular BE, and piecewise-constant and piecewise-linear approximations, Eng. Anal. Bound. Elem. 34, 105-113.