Research of stress concentration at closely placed holes in wing bearing area in anisotropic plates
1
Lviv Polytechnic National University
2
Flight Academy of the National Aviation University
3
University of Technology and Life Science
Submission date: 2022-07-04
Final revision date: 1970-01-01
Acceptance date: 2022-10-10
Online publication date: 2022-10-12
Publication date: 2022-10-12
Diagnostyka 2022;23(4):2022402
KEYWORDS
composite materialsstress concentrationboundary integral equations methodplates with holeswing bearing area
TOPICS
ABSTRACT
In this article effective approach of the study of high-stress concentration at closely placed holes in wing bearing area (in anisotropic plates) is proposed. It is based on the boundary integral equation method with the additional use of the asymptotic method. The simplicity, precision of the approach and the stability of the solution are illustrated in the calculation of stresses in the plate with a circular hole, an elliptical hole, elongated holes, a plate with two closely spaced elliptical holes.
REFERENCES (24)
1.
Abd A, Mustafa Z, Abdul A, Ahmed F H. Simulation of the effect laminate sequence on delamination mode-I with elastic couplings. Diagnostyka. 2022;23(2):2022211. https://doi.org/10.29354/diag/....
2.
Batista M. On the stress concentration around a hole in an infinite plate subject to a uniform load at infinity. Int J Mech Sci. 2011;53:254-621. https://doi.org/10.1016/j.ijme....
3.
Brebbia CA, Telles JCF, Wrobel LC. Boundary element techniques: theory and applications in engineering. Springer Science & Business, 2012.
4.
Chauhan MM, Sharma DS. Stresses in finite anisotropic plate weakened by rectangular hole.Int J Mech Sci 2015;101–102:272-279. https://doi.org/10.1016/j.ijme....
6.
Jafari M, Ardalani E. Stress concentration in finite metallic plates with regular holes. Int J Mech Sci. 2016;106:220–30. https://doi.org/10.1016/j.ijme....
7.
Lee W. M, Chen JT. Scattering of flexural wave in thin plate with multiple holes by using the null-field integral equation approach Computer Modeling in Engineering Science 2008; 37(3); 243-273. https://doi.org/10.1016/j.ijso....
8.
Lekhnitskii SG. Anisotropic plates. gordon and breach science publishers. New York London Paris Montreux Tokyo Melbourne. 1987.
9.
Liu, Qiang, et al. Multiobjective optimization of perforated square CFRP tubes for crashworthiness. Thin-walled Structures. 2020;149:106628. https://doi.org/10.1016/j.tws.....
10.
Maksymovych O, Solyar T. Method of mechanical quadratures for solving integral equations of thermoelasticity for plates with heat exchange. J Math Sci. 2011; 174(3):387-399.
11.
Maksymovych O, Podhorecki, A. Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations. Engineering Analysis with Boundary Elements. 2019;104; 364-372. https://doi.org/10.1016/j.enga....
12.
Maksymovych O, Lavrenchuk S, Solyar T. Contact problem for an anisotropic half plane with cracks. J Math Sci. 2019; 1-11. https://doi.org/10.1007/s10958....
13.
Maksymovych ОV, Solyar ТY. Determination of stress concentration near dies, holes, and cracks in the half plane based on the method of integral equations and green solutions. J Math Sci. 2022;261:162–175. https://doi.org/10.1007/s10958....
14.
Muskhelishvili NI. Some Basic problems of the mathematical theory of elasticity. 2nd edn. Noordhoff International Publishing, Leyden 1977.
15.
Nageswara R, Ramesh B, Raja N, Sunil D. Stress around square and rectangular cutouts in symmetric laminates. Compos. Struct. 2010;92:2845–59. https://doi.org/10.1016/j.comp....
16.
Panasyuk VV, Savruk MP. On the determination of stress concentration in a stretched plate with two holes. J Math Sci 2009; 162(1): 132-148.
17.
Pokhmurska H, Maksymovych O, Dzyubyk A, & Dzyubyk L. Calculation of trajectories and the rate of growth of curvilinear fatigue cracks in isotropic and composite plates. In IOP Conference Series: Materials Science and Engineering 2018;373(1):012024. https://doi:10.1088/1757-899X/....
18.
Savin GN. Stress concentration around holes. New York: Pregamon Press. 1961. https://doi.org/S0020-7403(13)....
19.
Schсlar NA. Anisotropic analysis using boundary elements. Computational Mechanics Publications. 1994.
20.
Ukadgaonker VG, Rao DKN. Stress distribution around triangular holes in anisotropic plates. Compos. Struct. 1999; 45:171–83. https://doi.org/10.1016/S0263-....
21.
Yin C, Lu A, Zeng X. An accurate and efficient computational method for seeking two equi-tangential stress hole shapes. Arch Appl Mech. 2019;89:2321–2334. https://doi.org/1007/s00419-01....
22.
Zucco, Giovanni, et al. Continuous tow steering around an elliptical cutout in a composite panel. AIAA Journal. 2021;59.12:5117-5129. https://doi.org/10.2514/1.J060....
23.
Bozhydarnik VV, Andreikiv OE, Sulym GT. Fracture mechanics, strength and durability of continuously reinforced composites. Lutsk: Nadstryya, 2007;1:397.
24.
Kryizhanovskiy VK, Burlov VV, Panimatchenko AD, Kryizhanovskaya YV. SPb.: Professiya, 2005–248с. Kryzhanovsky, V. Technical properties of polymeric materials. 2005.
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