Articles | Volume 10, issue 2
https://doi.org/10.5194/ms-10-553-2019
https://doi.org/10.5194/ms-10-553-2019
Research article
 | 
18 Nov 2019
Research article |  | 18 Nov 2019

Stress state of a polygonal plate having a central circular hole with two linear cracks in the small physical non-linear condition

Etimad Bayramoglu Eyvazov and Mecit Öge

Related subject area

Subject: Mechanics of Materials | Techniques and Approaches: Mathematical Modeling and Analysis
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Cited articles

Amenzade, Y. A.: Theory of Elasticity, Vysshaya Shkola, Moscow, 1976 (in Russian). 
Batista, M.: On the stress concentration around a hole in an infinite plate subject to a uniform load at infinity, Int. J. Mech. Sci., 53, 254–261, https://doi.org/10.1016/j.ijmecsci.2011.01.006, 2011. 
Berezhnitskii, L. T., Delyavskii, M. V., and Panasyuk, V. V.: Bending of thin plates with crack type defects, Naukova Dumka, Kiew, 1919 (in Russian). 
Globenko, T. M.: Influence of physical nonlinearity of material on stress concentration near square hole, Calc. Meth. Civ. Eng., 1, 39–55, 1974. 
Kauderer, G.: Nonlinear mechanics, Inostrannaya Literatura, Moscow, 1961.  
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Short summary
The stress state of a polygonal plate having a central circular hole with two linear cracks was considered. External forces were applied to the contours of polygonal plate and internal forces were applied to the contours of the circular hole. Stress concentrations were determined at the end points of cracks using conformal mapping function. Critical loads were defined for different loads. Analytical results were found to agree with the numerical literature results.