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numerical modeling; rigid particle; viscous flow; equations of motion; elliptic integrals

References:

[1] A. Einstein: **Eine neue Bestimmung der Moleküldimensionen**. Ann. Physik 19 (1906), 289–306, errata 34 (1911), 591–592.

[2] N. C. Gay: **The motion of rigid particles embedded in a viscous fluid during pure shear deformation of the fluid**. Tectonophysics 5 (1968), 81–88. DOI 10.1016/0040-1951(68)90082-6

[3] S. K. Ghosh, H. Ramberg: **Reorientation of inclusions by combination of pure shear and simple shear**. Tectonophysics 34 (1976), 1–70. DOI 10.1016/0040-1951(76)90176-1

[4] I. S. Gradshtein, I. M. Ryzhik: **Table of Integrals, Series, and Products. 5th ed**. Boston, Academic Press 1994. MR 1243179

[5] G. B. Jeffery: **The motion of ellipsoidal particles immersed in a viscous fluid**. Proc. Roy. Soc. London Ser. A 102 (1922), 161–179.

[6] J. Ježek: **Software for modeling the motion of rigid triaxial particles in viscous flow**. Computers and Geosciences 20 (1994), 409–424. DOI 10.1016/0098-3004(94)90049-3

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[8] J. Ježek, K. Schulmann, K. Segeth: **Fabric evolution of rigid inclusions during mixed coaxial and simple shear flows**. Tectonophysics 257 (1996), 203–221. DOI 10.1016/0040-1951(95)00133-6

[9] T. Masuda, S. Mochizuki: **Development of snowball structure: numerical simulation of inclusion trails during synkinematic porphyroblast growth in metamorphic rocks**. Tectonophysics 170 (1989), 141–150. DOI 10.1016/0040-1951(89)90108-X

[10] W. H. Press et al.: **Numerical Recipes. The Art of Scientific Computing**. Cambridge, Cambridge University Press 1986. MR 0833288 | Zbl 1132.65001

[11] L. J. Reed, E. Tryggvason: **Preferred orientations of rigid particles in a viscous matrix deformed by pure shear and simple shear**. Tectonophysics 24 (1974), 85–98. DOI 10.1016/0040-1951(74)90131-0

[12] S. Wolfram: **Mathematica. A System for Doing Mathematics by Computer**. Reading, MA, Addison-Wesley 1993. Zbl 0925.65002