Journal of Theoretical and Applied Mechanics, Sofia, 2012, vol. 42, No. 3, pp. 75–100 COMBINED DOI: 10.2478/v10254-012-0015-y FIELDS ELASTIC WAVEFIELD EVALUATION IN DISCONTINUOUS POROELASTIC MEDIA BY BEM: SH-WAVES * Petia S. Dineva Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., Bl. 4, 1113 Sofia, Bulgaria, e-mail: petia@imbm.bas.bg Frank Wuttke Chair of Geomechanical Modeling, Bauhaus University 99421 Weimar, Germany, e-mail: frank-wuttke@uni-weimar.de George D. Manolis Department of Civil Engineering, Aristotle University, 54124 Thessaloniki, Greece, e-mail: gdm@civil.auth.gr [Received 21 April 2012. Accepted 14 May 2012] Abstract. This work examines the anti-plane strain elastodynamic problem for poroelastic geological media containing discontinuities in the form of cavities and cracks. More specifically, we solve for: (i) a mode III crack; (ii) a circular cylindrical cavity, both embedded in an infinite poroelastic plane; and (iii) a mode III crack in a finite-sized poroelastic block. The source of excitation in all cases are time-harmonic, horizon- tally polarized shear (SH) waves. These three cases depict a situation whereby propagating elastic waves are diffracted and scattered by the presence of discontinuities in poroelastic soil, and this necessitates the computation of stress concentration factors (SCF) and stress intensity factors (SIF). Thus, the sensitivity of the aforementioned factors to vari- ations in the material parameters of the surrounding poroelastic contin- uum must be investigated. Bardet’s model is introduced by assuming saturated soils as the computationally efficient viscoelastic isomorphism * The first author (PSD) wishes to acknowledge financial support provided through the MC-IEF Grant No. PIEF-GA-2010-270889. Also, the other two authors (FW, GDM) ac- knowledge the NATO Collaborate Linkage Grant No. CLG-984136. Corresponding author e-mail: petia@imbm.bas.bg Unauthenticated Download Date | 4/16/17 2:24 PM