### Abstract

Self-consistent averaging, using an auxiliary solution for an elliptical anisotropic viscous inclusion in an anisotropic viscous host, provides estimates of the principal bulk viscosities of a dispersion of aligned elliptical viscous clasts in an isotropic or anisotropic viscous matrix. Analysis and results are for a two-dimensional analog of a composite rock with clasts that are cylinders with axes normal to the plane of flow. The ratio of principal viscosities, η
_{n} in clast parallel extension or shortening, η
_{s} in clast-parallel shear, m = η
_{n}/η
_{s}, is smaller than that obtained using an auxiliary solution in which the host is isotropic. Results for the limiting case of rigid clasts indicates that the latter procedure overestimates the stress concentration in axis-parallel extension or shortening at intermediate clast volume fraction, f. If the matrix is anisotropic, bulk anisotropy derives from both the shape anisotropy and the intrinsic anisotropy of the matrix, and unsymmetrical relations for the principal viscosities and m (f) result. The results suggest that rheological anisotropy in rocks with a planar fabric is greatly reduced if the components are lenticular in form rather than continuous layers. A general solution is given for an elliptical inclusion for the case that the principal axes of anisotropy in both the host and the inclusion are oblique to the axes of the elliptical section and the host is subjected to homogeneous stress far from the inclusion.

Original language | English (US) |
---|---|

Pages (from-to) | 1977-1987 |

Number of pages | 11 |

Journal | Journal of Structural Geology |

Volume | 26 |

Issue number | 11 |

DOIs | |

State | Published - Nov 1 2004 |

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### All Science Journal Classification (ASJC) codes

- Geology

### Cite this

*Journal of Structural Geology*,

*26*(11), 1977-1987. https://doi.org/10.1016/j.jsg.2004.04.004

}

*Journal of Structural Geology*, vol. 26, no. 11, pp. 1977-1987. https://doi.org/10.1016/j.jsg.2004.04.004

**Anisotropic viscosity of a dispersion of aligned elliptical cylindrical clasts in viscous matrix.** / Fletcher, Raymond Charles.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Anisotropic viscosity of a dispersion of aligned elliptical cylindrical clasts in viscous matrix

AU - Fletcher, Raymond Charles

PY - 2004/11/1

Y1 - 2004/11/1

N2 - Self-consistent averaging, using an auxiliary solution for an elliptical anisotropic viscous inclusion in an anisotropic viscous host, provides estimates of the principal bulk viscosities of a dispersion of aligned elliptical viscous clasts in an isotropic or anisotropic viscous matrix. Analysis and results are for a two-dimensional analog of a composite rock with clasts that are cylinders with axes normal to the plane of flow. The ratio of principal viscosities, η n in clast parallel extension or shortening, η s in clast-parallel shear, m = η n/η s, is smaller than that obtained using an auxiliary solution in which the host is isotropic. Results for the limiting case of rigid clasts indicates that the latter procedure overestimates the stress concentration in axis-parallel extension or shortening at intermediate clast volume fraction, f. If the matrix is anisotropic, bulk anisotropy derives from both the shape anisotropy and the intrinsic anisotropy of the matrix, and unsymmetrical relations for the principal viscosities and m (f) result. The results suggest that rheological anisotropy in rocks with a planar fabric is greatly reduced if the components are lenticular in form rather than continuous layers. A general solution is given for an elliptical inclusion for the case that the principal axes of anisotropy in both the host and the inclusion are oblique to the axes of the elliptical section and the host is subjected to homogeneous stress far from the inclusion.

AB - Self-consistent averaging, using an auxiliary solution for an elliptical anisotropic viscous inclusion in an anisotropic viscous host, provides estimates of the principal bulk viscosities of a dispersion of aligned elliptical viscous clasts in an isotropic or anisotropic viscous matrix. Analysis and results are for a two-dimensional analog of a composite rock with clasts that are cylinders with axes normal to the plane of flow. The ratio of principal viscosities, η n in clast parallel extension or shortening, η s in clast-parallel shear, m = η n/η s, is smaller than that obtained using an auxiliary solution in which the host is isotropic. Results for the limiting case of rigid clasts indicates that the latter procedure overestimates the stress concentration in axis-parallel extension or shortening at intermediate clast volume fraction, f. If the matrix is anisotropic, bulk anisotropy derives from both the shape anisotropy and the intrinsic anisotropy of the matrix, and unsymmetrical relations for the principal viscosities and m (f) result. The results suggest that rheological anisotropy in rocks with a planar fabric is greatly reduced if the components are lenticular in form rather than continuous layers. A general solution is given for an elliptical inclusion for the case that the principal axes of anisotropy in both the host and the inclusion are oblique to the axes of the elliptical section and the host is subjected to homogeneous stress far from the inclusion.

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UR - http://www.scopus.com/inward/citedby.url?scp=13944257810&partnerID=8YFLogxK

U2 - 10.1016/j.jsg.2004.04.004

DO - 10.1016/j.jsg.2004.04.004

M3 - Article

AN - SCOPUS:13944257810

VL - 26

SP - 1977

EP - 1987

JO - Journal of Structural Geology

JF - Journal of Structural Geology

SN - 0191-8141

IS - 11

ER -