Fracture Mechanics and Strength of Materials

Bending of Multi-Connected Plates with Elliptic Inclusions

Andrii Koshkin

Kharkiv National University of Radio Electronics, Ukraine

https://doi.org/10.15407/msse2025.01.195

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Keywords

bending, plates, stress concentration, mathematical model, numerical analysis

Abstract

A new approximate method for determining the stress state of a thin anisotropic plate with elastic inclusions is proposed. The results of numerical studies are described, which made it possible to reveal the influence of the stiffness of elastic inclusions, the distances between them, and their geometric characteristics on the values of the bending moments arising in the plate. The issue of using moment’s intensity factors was considered in case of sufficiently rigid or flexible linear inclusions.

References

  1. Lekhnitskii, S. G., Tsai, S. W., Cheron, T. Anisotropic Plates. – Gordon and Breach. – 1968. – P.534.
  2. Hsieh M.C., Chyanbin Hwu. Anisotropic elastic plates with holes/cracks/inclusions subjected to out-of-plane bending moments // Int. J. Solids Struct. – 2002. – 39. – P. 4905–4925. https://doi.org/10.1016/S0020-7683(02)00335-9
  3. Stashchuk M., Hembara N., Kovalchuk V. Microcrack under internal pressure at dislocation defect // Procedia Struct. Integr. – 2019. – 16. – P. 252–259. https://doi.org/10.1016/j.prostr.2019.07.049