Measure of non-coaxiality

Ghosh, S. K. (1987) Measure of non-coaxiality Journal of Structural Geology, 9 (1). pp. 111-113. ISSN 0191-8141

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The kinematical vorticity number (Wk) can be a measure of instantaneous non-coaxiality of geologic deformations. In order to determine the degree of non-coaxiality from finite deformation structures, an entity W'k is defined. W'k = 2Ω/D, where (Ω) is the amount of rotation of a rigid equant grain embedded in a ductile matrix, D=[2ε-21-22+ ε-23]½ and εi are the principal natural strains. For different values of Wk the progressive variation of 2Ω with D is plotted graphically. The gradient of each curve at the origin is equal to Wk. The gradient of the curves and the values of Wk increase with progressive deformation. If Ω and D are independently determined from the rock fabric, then the plots of the data on the 2ωD diagram will enable us to identify a curve for a particular Wk. The analysis is carried out for plane equivoluminal strain and the method is applicable for the case in which the instantaneous character of deformation remains unchanged in progressive deformation.

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