Antiplane deformation of a cylindrically anisotropic elastic rod


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.

About the authors

Yurii A Bogan

M. A. Lavrentyev Institute of Hydrodynamics, Siberian Branch of RAS

д.ф.-м.н.), старший научный сотрудник, отд. механики деформируемого твёрдого тела; Институт гидродинамики им. М. А. Лаврентьева СО РАН; M. A. Lavrentyev Institute of Hydrodynamics, Siberian Branch of RAS


  1. Лехницкий С. Г. Кручение анизотропных и неоднородных стержней. М.: Наука, 1971. 240 с.
  2. Ting T. C. The remarkable nature of cylindrically anisotropic elastic materials exemplified by an anti-plane deformation // J. Elasticity, 1998. Vol. 49, no. 3. Pp. 269-284.
  3. Li B., Liu Y. W., Fang Q. H. Interaction of an anti-plane singularity with interfacial anticracks in cylindrically anisotropic composites // Arch. Appl. Mech., 2008. Vol. 78, no. 4. Pp. 295-309.
  4. Прусов И. А. Некоторые задачи термоупругости. Минск: БГУ, 1972. 200 с.
  5. Ландис Е. М. Уравнения второго порядка эллиптического и параболического типов. М.: Наука, 1971. 288 с.
  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., 1972. Vol. 26, no. 2. Pp. 391-402.



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