RESEARCH PAPER
Dynamic Stress Concentration at the Boundary of an Incision at the Plate Under the Action of Weak Shock Waves
1
Department of Technical Mechanic, Lutsk National Technical University, 75 Lvivska st., Lutsk, 43018, Ukraine
2
Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland
Submission date: 2016-06-21
Acceptance date: 2017-09-20
Online publication date: 2017-10-07
Publication date: 2017-09-01
Acta Mechanica et Automatica 2017;11(3):217-221
KEYWORDS
ABSTRACT
This paper proposes the novel technique for analysis of dynamic stress state of multi-connected infinite plates under the action of weak shock waves. For solution of the problem it uses the integral and discrete Fourier transforms. Calculation of transformed dynamic stresses at the incisions of plates is held using the boundary-integral equation method and the theory of complex variable functions. The numerical implementation of the developed algorithm is based on the method of mechanical quadratures and collocation technique. For calculation of originals of the dynamic stresses it uses modified discrete Fourier transform. The algorithm is effective in the analysis of the dynamic stress state of defective plates.
REFERENCES (19)
1.
Ayzenberg-Stepanenko M., Osharovich G., Sher E., Yanovitskaya Z. (2012) Numerical Simulation of Shock-wave Processes in Elastic Media and Structures. Part I: Solving Method and Algorithms, Journal of Mining Science, 48(1), 76–95.
2.
Ayzenberg-Stepanenko M., Sher E., Osharovich G., Yanovitskaya Z. (2013) Numerical Simulation of Shock-wave Processes in Elastic MEDIA and structures. Part II: Application Results, Journal of Mining Science, 48(5), 839–855.
3.
Banerjee P. (1994) Boundary Element Method in Engineering Science, McGraw Hill, New York, London.
4.
Bonnet M. (1995), Integral Equations and Boundary Elements. Mechanical Application of Solids and Fluids, (in French), CNRS Éditions / Éditions EYROLLES, Paris.
5.
Brebbia C., Telles J., Wrobel L. (1984), Boundary Element Techniques, Springer, New York.
6.
Cohen H. (2007) Number Theory Volume II: Analytic and Modern Tools, Springer, New York.
7.
Eshkuvatov Z. K., Nik Long N. M. A., Abdulkawi M. (2009), Quadrature Formula for Approximating the Singular Integral of Cauchy Type with Unbounded Weight Function on the Edges, Journal of Computational and Applied Mathematics, 233, 334–345.
8.
Gruber S., Skews B. (2013) Weak Shock Wave Reflection from Concave Surfaces, Experiments in Fluids, 54(1751), 1-14.
9.
Guz A.M. Kubenko V., Chernenko M. (1978) Diffraction of Elastic Waves, Naukova Dumka, Kyiv.
10.
Isbell W. (2005) Shock Waves: Measuring the Dynamic Response of Materials, Imperial College Press.
11.
Kubenko V. (1967) Dynamic Stress Concentration Around an Elliptical Hole, Reports of the Academy of Sciences USSR, 3, 60-64.
12.
Mikulich O. A. (2016) Dynamic Concentration of the Stresses Near the Holes in Infinity Plates under the Weak Shock Waves, Naukovi notatky, 53, 102-107.
13.
Mykhas’kiv V., Stankevych V., Zhbadynskyi I., Zhang Ch. (2009) 3-D Dynamic Interaction Between a Penny-shaped Crack and a Thin Interlayer Joining Two Elastic Half-Spaces, International Journal of Fracture, 159(2), 137-149.
14.
Onyshko L., Senyuk M., Onyshko O (2015) Dynamic Stress Concentration Factors in a Plane with Circular Hole Under the Action of Impact Nonaxisymmetric Loads, Materials Science, 50(5), 755–761.
15.
Pasternak Ja., Sulym H., Pasternak R. (2013) Dynamic Stress Concentration at Thin Elastic Inclusions under the Antiplane Deformation, Physical and Mathematical Modeling and Information Technologies, 18, 157-164.
16.
Popov V., Litvin O., Moysyeyenok A. (2009) The Dynamic Problems About the Definition of Stress State Near Thin Elastic Inclusions Under the Conditions of Perfect Coupling, Modern Analysis and Applications, 191, 485-498.
17.
Ramamohan K.; D N Kim D.; Hwang J. (2010) Fast Fourier Transform: Algorithms and Applications, Springer, New York.
18.
Savin G. N. (1968) Distribution of the Stresses near the Holes, Naukova Dumka, Kyiv.
19.
Shvabyuk V., Sulym H., Mikulich O. (2015) Stress State of Plate with Incisions under the Action of Oscillating Concentrated Forces, Acta Mechanica et Automatica, 9(3), 140-144.
| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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