A method is proposed for solving the problem of elastic equilibrium in the case of an anisotropic plate with a closed rod pressed into a curvilinear hole in it (or stretched over an anisotropic disk). This method is based on representing the boundary conditions in the form of contour integrals of an arbitrary function holomorphic within the region of that plate. The normal magnitude of the jump of the displacement vector at the contact line is given as the function of the arc. Friction at the contact line is assumed negligible. The stress-strain state of the rod (ring) is described by the equations in the theory of thin curvilinear beams.
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Martynovich, T.L., Zvarich, M.K. & Shchukin, V.S. State of stress of an anisotropic plate with a closed rod pressed into a curvilinear hole in it. Polymer Mechanics 12, 262–267 (1976). https://doi.org/10.1007/BF00856463
- Boundary Condition
- Arbitrary Function
- Displacement Vector
- Contact Line
- Contour Integral