The problem of the stress state of a transversely isotropic plate with a circular hole with a concentrated splitting force acting on its surface is solved by expanding the unknown functions into Fourier–Legendre series in the thickness coordinate. The stress state of the plate near the hole is analyzed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. N. Vekua, Some Methods of Constructing Various Theories of Shells [in Russian], Nauka, Moscow (1982).
L. A. Fil’shtinskii and D. V. Kushnir, “Elastic equilibrium of multiply connected cylindrical bodies,” Teor. Prikl. Mekh., 45, 90–99 (2009).
I. Yu. Khoma, Generalized Theory of Anisotropic Shells [in Russian], Naukova Dumka, Kyiv (1986).
I. A. Abbas, “Fractional order GN model on thermoelastic interaction in an infinite fibre-reinforñed anisotropic plate containing a circular hole,” J. Comput. Theor. Nanosci., 11, No. 2, 380–384 (2014).
C. W. Bert and H. Zeng, “Generalized bending of a large shear deformable isotropic plate containing a circular hole or rigid inclusion,” Trans. ASME, J. Appl. Mech., 68, No. 2, 230–233 (2001).
P. Cicala, “Sulla teoria elastica della plate sottile,” Giorn. Genio Civile., 97, No. 4, 238–256 (1959).
H. Ding, W. Chen, and L. Zhong, Elasticity of Transversely Isotropic Materials, Springer, Dordrecht (2006).
J. I. Fellers and A. I. Soler, “Approximate solution of the finite cylinder problem using Legendrå polynomials,” AIAA J., 8, No. 11, 2037–2048 (1970).
E. S. Folias and I. I. Wang, “On the three-dimensional stress fields around a circular hole in a plate of arbitrary thickness,” Comput. Mech., 6, No. 5, 379–391 (1990).
I. Yu. Khoma and Ò.Ì. Proshchenko, “The stress state of a transversely isotropic plate with a curvilinear hole for a given splitting force on the boundary surface,” Int. Appl. Mech., 55, No. 4, 434–449 (2019).
I. Yu. Khoma and T. M. Proshchenko, “Stress state of a transversely isotropic plate with a curved hole under simple shear at infinity,” Int. Appl. Mech., 57, No. 1, 75–85 (2021).
I. Yu. Khoma and O. A. Strygina, “On the turning of a transversely isotropic plate with a curvilinear hole,” Int. Appl. Mech., 56, No. 4, 445–461 (2020).
A. Kotousov and C. H. Wang, “Three-dimensional stresses constraint in an elastic plate with a notch,” Int. J. Solids Struct., 39, No. 16, 4311–4326 (2002).
X. Markenscoff, “Stress amplification in the neighborhood of an eccentric large hole in a strip in tension,” ZAMP, 51, No. 4, 550–554 (2000).
Zh. Yang, “The stress and strain concentrations of elliptical hole in an elastic plate of finite thickness subjected to tensile stress,” Int. J. Fract., 155, No. 1, 43–44 (2009).
C. K. Youngdahl and E. Sternberg, “Three-dimensional stress concentrations around a cylindrical hole in a semi-infinite body,” J. Appl. Mech., Ser. E, 33, No. 4, 855–865 (1996).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prykladna Mekhanika, Vol. 59, No. 1, pp. 79–90, January–February 2023.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Khoma, I.Y., Proshchenko, T.M. & Strygina, O.A. Stress State of a Transversely Isotropic Plate with a Circular Hole with a Concentrated Splitting Force Acting on its Surface. Int Appl Mech 59, 68–78 (2023). https://doi.org/10.1007/s10778-023-01200-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-023-01200-6