Mathematics – Logic
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19.1145b&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 19, no. 11, June 2, 1992, p. 1145-1148. Research supported by Australian Res
Mathematics
Logic
11
Deformation, Ductility, Geological Faults, Mathematical Models, Nonlinearity, Strain Distribution, Crack Tips, Finite Element Method, Shear Strain, Singularity (Mathematics), Strain Rate, Stress Distribution
Scientific paper
The deformation field surrounding a fault in a nonlinear ductile medium is characterized by two components: a nonsingular component that is required to satisfy arbitrary stress or velocity boundary conditions on the external boundary, and a singularity in the stress field at the fault tip that is required by the zero shear stress and discontinuous velocity boundary conditions on the fault. The finite element method is employed to solve for the distribution of stress and strain rate for a simple example in which a planar fault is cut into a block of nonlinear ductile material experiencing simple shear under incompressible, plane-strain. Results of the finite element calculations show that all of the strain rate components decrease away from the fault tip.
Barr Terence D.
Houseman Gregory A.
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