Geodesic
Antiplane strain of a cylindrically anisotropic elastic bar
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 116-122.

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The problem of antiplane deformation of general cylindrical anisotropic material is studied in this paper. Explicit solutions of Dirichlet and Neumann problems are given for a circular domain. The existence of unique weak solution of the Dirichlet problem in a bounded region with a piece-wise smooth boundary is proved.
Keywords: cylindrical anisotropy, elasticity. 
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Yu. A. Bogan. Antiplane strain of a cylindrically anisotropic elastic bar. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 116-122. http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a10/

[1] Lekhnitskii S. G., Torsion of Anisotropic and Inhomogeneous Rods, Nauka, Moscow, 1971, 240 pp. | Zbl

[2] Ting T. C., “The remarkable nature of cylindrically anisotropic elastic materials exemplified by an anti-plane deformation”, J. Elasticity, 49:3 (1998), 269–284 | DOI | MR | Zbl

[3] Li B., Liu Y. W., Fang Q. H., “Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites”, Arch. Appl. Mech., 78:4 (2008), 295–309 | DOI | Zbl

[4] Prusov I. A., Some Problems of Thermoelasticity, BGU, Minsk, 1972, 200 pp.

[5] Landis E. M., Second order equations of elliptic and parabolic type, Nauka, Moscow, 1971, 288 pp. | MR | Zbl

[6] Piccinini L. C, Spagnolo S., “On the Hölder continuity of solutions of second order elliptic equations in two variables”, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser., 26:2 (1972), 391–402 | MR | Zbl