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

Zydrunas Gimbutas, Leslie Greengard, Michael Barall, Terry E. Tullis

Research output: Contribution to journalArticle

Abstract

Integral equation-based methods in elasticity require the calculation of integrals that involve a singular (or weakly singular) matrix Green's function and a traction or displacement vector field defined on a surface. A variety of numerical methods based on analytic quadratures have been developed for such calculations, using either rectangular or triangular surface patches. Unfortunately, without correction, these analytic rules are subject to numerical instabilities in certain parameter regimes. In this paper, we present a stable, semi-analytic collection of quadrature rules that can be applied to both infinite medium and half-space simulations. We describe our underlying approach and illustrate its performance with numerical examples.

Original languageEnglish (US)
Pages (from-to)2776-2780
Number of pages5
JournalBulletin of the Seismological Society of America
Volume102
Issue number6
DOIs
StatePublished - Dec 2012

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dislocation
quadratures
traction
Green function
half space
half spaces
Green's function
numerical method
elasticity
Integral equations
integral equations
Elasticity
Numerical methods
Green's functions
elastic properties
matrix
matrices
simulation
calculation
method

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

On the calculation of displacement, stress, and strain induced by triangular dislocations. / Gimbutas, Zydrunas; Greengard, Leslie; Barall, Michael; Tullis, Terry E.

In: Bulletin of the Seismological Society of America, Vol. 102, No. 6, 12.2012, p. 2776-2780.

Research output: Contribution to journalArticle

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