Mandal, Nibir ; Misra, Santanu ; Samanta, Susanta Kumar
(2005)
*Rotation of single rigid inclusions embedded in an anisotropic matrix: a theoretical study*
Journal of Structural Geology, 27
(4).
pp. 731-743.
ISSN 0191-8141

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/S01918...

Related URL: http://dx.doi.org/10.1016/j.jsg.2004.12.005

## Abstract

This paper presents a theoretical analysis of instantaneous rotation of elliptical rigid inclusions hosted in a foliated matrix under bulk tensile stress. The foliated matrix is modelled with orthotropic elastic rheology, considering two factors as measures of anisotropy: m = μ^{0}/E^{0}_{1}and n = E^{0}_{2}/E^{0}_{1} , where μ^{0} is the shear modulus parallel to the foliation plane E^{0}_{1}and E^{0}_{2} and are the Young moduli along and across the foliation, respectively. Normalized instantaneous inclusion rotation (θ) is plotted as a function of the bulk tension direction (α) with respect to the long axis of the inclusion, taking into account two parameters: (1) anisotropic factors m and n, and (2) the inclination of the foliation plane to the long axis of inclusion (θ). In the case of θ=0°, ω versus α variations are sinuous, showing maximum instantaneous rotation in positive and negative sense at α =45 and 135°, respectively, irrespective of m and n values. The magnitude of maximum ω increases with decrease in m, i.e. increasing degree of anisotropy in the matrix. On the other hand, decreasing the value of the anisotropic factor n results in decreasing instantaneous rotation. ω increases with the aspect ratio R of inclusion, assuming an asymptotic value when R is large. This asymptotic value is larger for lower values of m. In case of θ ≠0°, ω versus α variations are asymmetrical, showing maximum instantaneous rotation at varying inclusion orientation for different m. For given m and n, with increase in θ the sense of instantaneous rotation reverses at a critical value of θ .

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Anisotropy Factors; Complex Variables; Tensile Stress; Inclusion Rotation |

ID Code: | 22032 |

Deposited On: | 23 Nov 2010 08:43 |

Last Modified: | 23 Nov 2010 08:43 |

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