Finite strain and rotation from fault-slip data
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Cited by (41)
Stress inversion meets plasticity theory: A review of the theories of fault-slip analysis from the perspective of the deviatoric stress-strain space
2019, Journal of Structural GeologyCitation Excerpt :Thus, plasticity theory, which deals with stresses and permanent deformations, provides a clear perspective for the methodology of stress inversion of various geologic structures. The theories of plasticity has inspired structural geologists and seismologists to develop their methods to evaluate tectonic strains (e.g., Conel, 1962; Arthaud, 1969; Arthaud and Mattauer, 1969; Groshong, 1972; Mattauer, 1973; Kostrov, 1974; Hyndman and Weichert, 1983; Molnar, 1983; Gauthier and Angelier, 1985; Jackson and McKenzie, 1988; Marrett and Allmendinger, 1990; Cladouhos and Allmendinger, 1993) and stresses (e.g., Turner, 1953; Rebetsky, 1997, 1999; Fry, 1999, 2001; Sato and Yamaji, 2006a; Axen et al., 2015; Rebetsky et al., 2012; Matsumoto, 2016). A researcher who conducts paleostress analysis expects that paleostress may be different from the present one, the deformation of which may have overprinted the deformation due to the paleostress.
Kinematics of the Torcal Shear Zone: Transpressional tectonics in a salient-recess transition at the northern Gibraltar Arc
2015, TectonophysicsCitation Excerpt :Accordingly, the facing direction is assumed to reveal the orientation of the X-axis (Jones et al., 2004). The orientation of the incremental strain tensor obtained via fault-slip data (see Marrett and Allmendinger, 1990 for theoretical details) can be correlated with finite strain as long as the total displacement produces shortening values under 60% of the initial length (Cladouhos and Allmendinger, 1993; Gapais et al., 2000), which is the case in the TSZ, as it will be shown below. Analyses are based on the Moment Tensor Summation for faults with known net slip (faults at the inner domain of the Torcal de Antequera massif and reverse faults of the Valle de Abdalajís massif) and on the Bingham Moment Tensor for faults with unknown net slip (mainly strike-slip shear zones and normal faults at the Valle de Abdalajís massif).
Inferring stress from faulting: From early concepts to inverse methods
2012, TectonophysicsCitation Excerpt :Summing the source mechanism tensors to obtain the bulk strain tensor and then seeking its principal strain directions become then a procedure similar to that done by averaging the P, B, T axes by orientational statistics, which may thus may be used if only orientations are sought (Marrett and Allmendinger, 1990). In the case of fault slip data where cumulative slip is involved, the infinitesimal approximation may no longer apply and finite strain need be addressed (Cladouhos and Allmendinger, 1993; Jamison, 1989). In that case, the principal strain axes associated with the simple shear representing a fault slip datum rotate around the B axis away from the P and T positions (see the geometrical construction of Nadaï, 1950, p. 146–150) and strain tensors are no longer added, but multiplied.