Analytical solutions of stress singularities in a sectorial plate based on Reissner-Mindlin plate theory

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Abstract

This paper aims at the stress singularities in a sectorial plate based on Reissner-Mindlin plate theory. The Mellin transform is applied to solve the governing equations of the plate. Both the bending stress singularities due to concentrated moments at boundaries and transverse shear stress singularities due to concentrated transverse shear forces at boundaries are investigated. The application of inverse Mellin transform gives the exact forms of singular stress fields near the corner, including the stress singularity orders and the generalized stress intensity factors. For various plate angles and loading conditions, the singular stress parameters are computed by finite element models and the results are compared to the analytical solutions. The comparisons reveal that the stresses obtained by the analytical procedure proposed in this paper are correct.

Original languageEnglish
Pages (from-to)7657-7679
Number of pages23
JournalApplied Mathematical Modelling
Volume39
Issue number23-24
DOIs
Publication statusPublished - 2014 Nov 17

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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