Stress concentration on the contour of a plate opening: analytical, numerical and experimental approach

• Autorzy: Momcilovic N. , Motok M. , Maneski T
• Języki publikacji: EN

Abstrakty

EN

The objective of the paper is to analyze the stress concentration factor (SCF) in the corner of a rectangular plate opening with small radii of curvature and various methods for its derivation. Besides the finite element method, as the most used approach today, there are some analytical and experimental procedures that can obtain stress concentration results in such spots. An analytical approach can deliver prediction of the SCF around the corner but cannot illustrate the stress field opposite to the finite element method. On the other hand, finite element analysis needs much computation time to deal with very sensitive and fine mesh generation around concentration zones. Experimental devices, such as strain gauges are not able to perform measurements on areas where high gradient of stress occurs due to their lack of sensitiveness and larger dimensions compared to the measured part of a structure. The paper presents Digital Image Correlation (DIC) technique that obtains not only stress concentration, where other devices fail, but also provides full displacement, strain and stress field’s even where a high gradient of stress exists. These three methods are discussed, compared and illustrated on the model of a plate with rectangular opening subjected to tension.

Słowa kluczowe

EN

stress concentration factor (SCF); digital image correlation (DIC); plate opening; small radius of curvature

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2013
• Tom: Vol. 51 nr 4
• Strony: 1003--1012
• Opis fizyczny: Bibliogr. 30 poz., rys., tab.

Twórcy

autor

Momcilovic N.

• University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia

autor

Motok M.

• University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia

autor

Maneski T

• University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia

Bibliografia

• 1. Batista M., 2011, On a stress concentration around the hole in an infinite plate subjected to uniform load at infinity, International Journal of Mechanical Sciences, 53, 254-261
• 2. Chen H.C., 1993, Special finite element including stress concentration effects of a hole, Journal of Finite element Analysis and Design, 13, 249-258
• 3. Eriksen R., Berggren C., Boyd S.W., Dulieu-Barton J.M., 2010, Toward high velocity deformation characterization of metals and composites using Digital Image Correlation, ICEM 14 – 14th International Conference on Experimental Mechanics, 6, pp. 8
• 4. Fazzini M., Mistou S., Dalverny O., Robert L., 2010, Study of image characteristics on digital image correlation error assessment, Optics and Lasers in Engineering, 48, 335-339
• 5. Ghafoori E., Motovalli M., 2011, Analytical calculation of stress intensity factor of cracked steel of I- beams with experimental analysis and 3D image correlation measurements, Engineering Fracture Mechanics, 78, 3226-3242
• 6. GOM mbH, 2009, Aramis v6.1 User Manual, 2009, Germany
• 7. Guo S., Morishima R., Zhang X., Mills A., 2009, Cutout shape and reinforcement design for composite C section beams under shear load, Composite Structures, 88, 179-187
• 8. Hild F., Roux S., 2006, Digital image correlation: from displacement measurement to identification of elastic properties – a review, Strain, 42, 2, 69-80
• 9. Jones R., Wykes C., 1989, Holographic and Speckle Interferometry, Cambridge University Press, Cambridge
• 10. Kopecki T., 2010, Numerical and experimental analysis of post-critical deformation states in tensioned plate weakened by the crack, Journal of Theoretical and Applied Mechanics, 48, 1, 45-70
• 11. Kopecki T., 2011, Numerical-experimental analysis of the post-buckling state of a multi-segment and multi-member thin walled structure subjected to torsion, Journal of Theoretical and Applied Mechanics, 49, 1, 227-242
• 12. Kreis T., 2005, Handbook of Holographic Interferometry, Wiley-WCH
• 13. Laughalam A., Igusa T., Park C., Choi S., Kim K., 2011, Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping – finite element approach, International Journal of Solids and Structures, 48, 1991-2004
• 14. Lecompte D., Smits A., Bossuyt S., Sol H., Vantomme J., van Hemelrijck D., Habraken A.M., 2006, Quality assessment of speckle patterns for digital image correlation, Optics and Lasers in Engineering, 44, 11, 1132-1145
• 15. Madani K., Touzian S., Feaugas X., Cohenduoz X., Ratwani M., 2010, Experimental and numerical study of repair techniques for panels with geometrical discontinuities, Computational Material Science, 48, 83-93
• 16. Maneski T., 2005, Structure behavior analysis and diagnostics, FME Transactions, 33, 89-95
• 17. Maneski T., Milosevic-Mitic V., 2010, Numerical and experimental diagnostics of structural strength, Structural Integrity and Life, 10, 3-10
• 18. Motok M., 1997, Locus of the maximum stress in the rounded corner zone of the plate opening, Saopstenja, Faculty of Mechanical Engineering Belgrade, 1, 38-40
• 19. Motok M., 1997, Stress concentration on the contour of the plate opening of an arbitrary korner radius of curvature, Marine Structures, 1, 1-13
• 20. Muskhelishvilli N.I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, Monograph, P. Noordhoff, Groningen
• 21. Post D., 1987, Moir´e interfeometry, Handbook of Experimental Mechanics, Prentice Hall
• 22. Rezaeepazhand J., Jafari M., 2010, Stress concentration in metallic plates with special shaped cutouts, International Journal of Mechanical Sciences, 52, 96-102
• 23. Savin G., 1961, Stress Concentration Around the Holes, Pergamon Press, Oxford
• 24. Schreier H.W., Braasch J.R., Sutton M.A., 2006, Systematic errors in digital image correlation caused by intensity imterpolation, Optical Engineering, 39, 11, 2915-2921
• 25. Stoilov G., Kavardzhikov V., Pashkouleva D., 2012, A comparative study of random patterns for digital image correlation, Journal of Theoretical and Applied Mechanics, 42, 2, 55-66
• 26. Sutton M., 2008, Digital image correlation for shape and deformation measurements, Handbook of Experimental Solid Mechanics, Springer, 565-600
• 27. Toubal L, Karama M., Lorain B., 2005, Stress concentration in a circular hole in a composite plate, Composite Structures, 68, 31-36
• 28. Ukadgaonker V.G., Kakhandki V., 2005, Stress analysis for an orthotropic plate with an irregular shaped hole for different in-plate loading conditions – Part 1, Composite Structures, 70, 255-274
• 29. Wu H.C., Mu B., 2003, On stress concentrations for isotropic/orthotropic plates and cylinder with a circular hole, Composites – Part B, 34, 127-134
• 30. Yu J.H., Dehmer P., 2010, Dynamic impact deformation analysis using high speed cameras and Aramis photogrammetry software, Army Research Laboratory – Report, USA