Effects of object ellipticity on strain, and implications for clast–matrix rocks

We examine the influence of object shape on strain, taking the example of an elliptical object in a matrix of different viscosity. The Eshelby–Bilby equation for the cross-sectional strain of circular cylindrical objects in a matrix of different viscosity is differentiated, to express the relationsh...

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Bibliographic Details
Published in:Journal of structural geology 2001-04, Vol.23 (4), p.601-608
Main Authors: Treagus, Susan H., Treagus, Jack E.
Format: Article
Language:English
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Summary:We examine the influence of object shape on strain, taking the example of an elliptical object in a matrix of different viscosity. The Eshelby–Bilby equation for the cross-sectional strain of circular cylindrical objects in a matrix of different viscosity is differentiated, to express the relationship of developing sectional ellipticity on incremental strain. This leads to an expression for the strain of initial elliptical objects whose axes are parallel or perpendicular to pure shearing. Graphs show that competent elliptical objects with axial ratios of R i =3 or more, will strain significantly more than circular objects of the same viscosity; less if the objects are incompetent. While the effect is likely to be insignificant for competent objects with initial ellipticity of
ISSN:0191-8141
1873-1201
DOI:10.1016/S0191-8141(00)00137-1