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Stress singularity at the vertex of homogeneous and composite cones for different boundary conditions
Authors:VP Matveyenko  TO Nakaryakova  NV Sevodina  IN Shardakov
Institution:1. Center for Vaccine Research, University of Pittsburgh, Pittsburgh, PA, USA;2. Department of Pathology, University of Pittsburgh, Pittsburgh, PA, USA;3. Department of Microbiology and Molecular Genetics, University of Pittsburgh, Pittsburgh, PA, USA
Abstract:A method of constructing singular solutions for conical bodies is proposed and versions of its numerical realization based on the finite-elements methods are considered. The results of numerical experiments illustrating the effectiveness and reliability of the proposed method are presented, as well as the results of a calculation of the eigenvalues, which define the form of the stress singularity for homogeneous and composite circular and non-circular cones for different boundary conditions.
Keywords:
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