Local stress singularities in mixed axisymmetric problems of the bending of circular cylinders |
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Authors: | T A Vasil’ev V A Shaldyrvan |
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Institution: | 1. Donetsk National University, 24 Universitetskaya St., Donetsk, Ukraine, 83055
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Abstract: | A method of analyzing the near-edge stress state in mixed problems of the deformation of an isotropic cylindrical body is
proposed. The method is based on the expansion of the solution of three-dimensional problems of elasticity into a series of
Lurie–Vorovich homogeneous basis functions. An asymptotic analysis is performed to find the principal part of the solution
of the infinite systems of linear algebraic systems to which the problems are reduced. The type of the stress singularity
at the edge of the cylinder is the same as in the mixed problems for a quarter plane. Kummer’s convergence acceleration method
is used. The obtained results are validated by testing the boundary conditions and by comparing with results obtained by other
authors |
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