caa a22 4500 475813855 CHVBK 20180406123804.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/s000240050016 doi (NATIONALLICENCE)springer-10.1007/s000240050016 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 Modeling Elastic Stresses in Long Ridges with the Displacement Discontinuity Method [Elektronische Daten] [S. J. Martel] —Elastic stresses at ridges formed by (a) erosion and (b) volcanism are calculated here by the method of particular integrals with a displacement-discontinuity boundary element method. The two geologic scenarios require treating the far-field stresses in the analyses differently. For a continuous body, the elastic governing equation requires that the second partial derivatives of the vertical and horizontal far-field normal stresses with respect to horizontal and vertical directions be defined throughout the solution domain. This constrains admissible solutions for continuous bodies in both two- and three-dimensional analyses. For example, if the horizontal far-field normal stress varies linearly with depth over any depth interval in a continuous body, then it must be continuous and vary linearly over the entire elevation range of the solution domain. This far-field stress distribution permits the description of a ridge formed by erosion of the surrounding material. A discontinuous or a piecewise linear distribution of horizontal far-field stresses does not yield admissible solutions for a continuous body but can apply to a ridge constructed by volcanism. Stresses induced by topography in volcanic ridges will inhibit dikes from propagating to the surface, favor the formation of near-surface magma chambers, and promote slope instability. The analyses demonstrate that topography and the extant tectonic stresses will not by themselves fully determine the stresses in a ridge; the geologic history is also important. Birkhäuser Verlag Basel,, 1999 Key Words: Boundary element, continuum mechanics, slope stability, stress analysis, topography nationallicence https://doi.org/10.1007/s000240050016 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000240050016 text/html Onlinezugriff via DOI NATIONALLICENCE 100 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 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer