caa a22 4500 475813790 CHVBK 20180406123804.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/s000240050014 doi (NATIONALLICENCE)springer-10.1007/s000240050014 A Two-dimensional Boundary Element Method for Calculating Elastic Gravitational Stresses in Slopes [Elektronische Daten] [S. J. Martel, J. R. Muller] —Elastic stresses arising from gravitational loads in a two-dimensional slope of arbitrary shape are calculated easily using a displacement-discontinuity boundary element method (BEM). A long stress-free crack simulates the topographic surface. Gravity-induced stresses (i.e., body forces) in a laterally confined body are simulated by vertical and horizontal "far-field” stresses equal to ρgy and [ν/(1-ν)]ρgy, respectively. Here ρ is material density, ν is Poisson's ratio, g is gravitational acceleration, and y is elevation, with y = 0 along the surface far from a ridge top or valley floor. BEM stress solutions compare well with analytical solutions for symmetric topography based on conformal mapping. Our analyses indicate that slope failures are likely to initiate near the bases of bedrock ridges and to be widespread along the slopes of gentle valleys cut in bedrock. The BEM method can be applied to the slopes of arbitrary shape and steepness, and it is well suited for evaluating the near-surface propagation of fractures or fracture-like structures, such as dikes and landslide failure surfaces. Our analysis also highlights the critical importance of properly accounting for the boundary conditions in a boundary value problem. Birkhäuser Verlag Basel,, 2000 Key Words: Oundary element, continuum mechanics, slope stability, stress analysis, topography nationallicence Martel S. J. Department of Geology and Geophysics, 2525 Correa Road, University of Hawaii, Honolulu, HI 96822, U.S.A. E-mail: martel@soest.hawaii.edu, US aut Muller J. R. Department of Geology and Geophysics, 2525 Correa Road, University of Hawaii, Honolulu, HI 96822, U.S.A. E-mail: martel@soest.hawaii.edu, US aut https://doi.org/10.1007/s000240050014 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000240050014 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Martel S. J. Department of Geology and Geophysics, 2525 Correa Road, University of Hawaii, Honolulu, HI 96822, U.S.A. E-mail: martel@soest.hawaii.edu, US aut NATIONALLICENCE 700 1- Muller J. R. Department of Geology and Geophysics, 2525 Correa Road, University of Hawaii, Honolulu, HI 96822, U.S.A. E-mail: martel@soest.hawaii.edu, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer