# Algorithms for the Calculation of Exact Displacements, Strains, and Stresses for Triangular Dislocation Elements in a Uniform Elastic Half Space

 dc.contributor.author Meade, Brendan J. dc.date.accessioned 2009-10-22T19:01:09Z dc.date.issued 2007 dc.identifier.citation Meade, Brendan J. 2007. Algorithms for the calculation of exact displacements, strains, and stresses for triangular dislocation elements in a uniform elastic half space. Computers and Geosciences 33(8): 1064-1075. en_US dc.identifier.issn 0098-3004 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:3354165 dc.description.abstract We present algorithms for analytically calculating the displacements, strains, and stresses associated with slip on a triangular dislocation element (TDE) in a homogeneous elastic half space. Following previous efforts, the solution is constructed as a dislocation loop where the deformation fields for each of the three triangle legs are calculated by the superposition of two angular dislocations. In addition to the displacements at the surface we derive the displacements and strains at arbitrary depth. We give explicit formulas for the strains due to slip on an angular dislocation, the calculation of angular dislocation slip components, a method for identifying observation coordinates affected by a solid body translation, and rules for internally consistent vertex ordering allowing for the superposition of multiple TDEs. Examples of surface displacements and internal stresses are given and compared with rectangular representations of geometrically complex fault surfaces. en_US dc.description.sponsorship Earth and Planetary Sciences en_US dc.language.iso en_US en_US dc.publisher Elsevier en_US dc.relation.isversionof http://dx.doi.org/10.1016/j.cageo.2006.12.003 en_US dash.license META_ONLY dc.subject elastic dislocation en_US dc.subject faulting en_US dc.subject seismotectonics en_US dc.title Algorithms for the Calculation of Exact Displacements, Strains, and Stresses for Triangular Dislocation Elements in a Uniform Elastic Half Space en_US dc.type Journal Article en_US dc.description.version Version of Record en_US dc.relation.journal Computers and Geosciences en_US dash.depositing.author Meade, Brendan J. dash.embargo.until 10000-01-01

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