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- W4323968360 abstract "Shape-preferred orientations in metamorphic tectonites are commonly defined by 3D fabric elements (Chap. 2 ). To understand the development of such fabrics, it is necessary to study the behavior of 3D fabric elements in given flow fields. The classic works of Jeffery (Proc R Soc Lond Ser A- 102(715):161–179, 1922) and Eshelby (Proc R Soc Lond Ser A- 241(1226):376–396, 1957, Proc R Soc Lond Ser A- 252(1271):561–569, 1959) and the extension of Eshelby’s theory to viscous deformation (Bilby et al., Tectonophysics 28(4):265–274, 1975; Jiang, J Struct Geol 29(2):189–200, 2007; Jiang, J Struct Geol 50:22–34, 2013; Jiang, J Struct Geol 68:247–272, 2014) have been used for the motion of rigid and deformable elements. In this Chapter, we focus on the rotation of rigid elements in slow viscous flows. We first develop the governing equation for rotation. Jeffery’s result for the angular velocity of a rigid ellipsoid in slow viscous flows is combined with the rotation equation to form an initial value problem for the motion of a rigid ellipsoid in viscous flow. The problem is solved analytically for a spheroid in monoclinic flows. The problem is solved numerically for more general situations. Mathcad and MATLAB programs for numerical solutions are provided." @default.
- W4323968360 created "2023-03-13" @default.
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- W4323968360 date "2023-01-01" @default.
- W4323968360 modified "2023-10-01" @default.
- W4323968360 title "Rotation of Rigid Objects in Homogeneous Flows" @default.
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- W4323968360 doi "https://doi.org/10.1007/978-3-031-23313-5_8" @default.
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