Stress Variation around a Circular Hole in Functionally Graded Plate under Bending
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33087
Stress Variation around a Circular Hole in Functionally Graded Plate under Bending

Authors: Parveen K. Saini, Mayank Kushwaha

Abstract:

The influence of material property variation on stress concentration factor (SCF) due to the presence of a circular hole in a functionally graded material (FGM) plate is studied in this paper. A numerical method based on complex variable theory of elasticity is used to investigate the problem. To achieve the material property, variation plate is decomposed into a number of rings. In this research work, Young’s modulus is assumed to be varying exponentially and it is found that stress concentration factor can be reduced by increasing Young’s modulus progressively away from the hole.

Keywords: Stress Concentration, Circular Hole, FGM Plate, Bending.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091214

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 3077

References:


[1] V. Birman, and L. W. Byrd, "Modeling and Analysis of Functionally Graded Materials and Structures,” Applied Mechanics Review, vol. 60, pp. 195-216, 2007.
[2] J. R. Dryden, and R. C. Batra, "Optimum Young’s Modulus of a Homogeneous Cylinder Energetically Equivalent to a Functionally Graded Cylinder,” Journal of Elasticity, vol. 110, pp. 95-110, 2013.
[3] S. H. Hosseini-Hashemi, H. Salehipuor, S. R. Atashipour, and R. Sburlati, "On the Exact In-Plane and Out-Plane Free Vibration Analysis of Thick Functionally Graded Rectangular Plates: Explicit 3-D Elastic Solutions,” Composites Part B: Engineering, vol. 46 (1), pp. 108-115, 2013.
[4] R. C. Batra, "Material Tailoring and Universal Relations for Axis-Symmetric Deformations of Functionally Graded Rubberlike Cylinders and Spheres,” Mathematics and Mechanics of Solids, vol. 16, 729-738, 2011.
[5] S. R. Buskirk, S. Venkataraman, P. G. Ifju, and A. J. Rapoff, "Functionally Graded Biomimetic Plate with Hole,” SEM Annual Conference & Exposition on Experimental and Applied Mechanics, 2002.
[6] S. Nagpal, S. Jain, and S. Sayal, "Stress Concentration and Its Mitigation Techniques in a Flat Plate with Singularities: A Critical Review,” Engineering Journal, 16 (1), 2012.
[7] J. H. Kim, and A. Kc, "A Generalized Interaction Integral Method for the Evaluation of T-Stress in Orthotropic Functionally Graded Materials under Thermal Loading,” Journal of Applied Mechanics Transactions ASME, 75, pp. 1-11, 2008.
[8] X. Zhao, Y. Y. Lee, and K. M. Liew, "Free Vibration Analysis of Functionally Graded Plates Using Element-Free kp-Ritz Method,” Journal of Sound Vibration, vol. 319, pp. 918-939, 2009.
[9] J. Ying, C. F. Lu, and W. Q. Chen, "Two-Dimensional Elastic Solutions for Functionally Graded Beams Resting on Elastic Foundation,” Composite Structures, vol. 84, pp. 209-219, 2008.
[10] M. N. M. Allam, A. M. Zenkour, and H. F. El-Mekawy, "Stress Concentrations in a Viscoelastic Composite Plate Weakened by a Triangular Hole,” Composite Structures, vol. 79, pp. 1-11, 2007.
[11] L. Dai, W. Guo, and X. Wang, "Stress Concentration at an Elliptical Hole in Transversely Isotropic Piezoelectric Solids,” International Journal of Solids and Structures, vol. 43, pp. 1818-1831, 2006.
[12] A. S. Kosmodamianskii, N. M. Neskorodev, and L. N. Profatilo, "Bending of an Anisotropic Plate with Holes of Arbitrary Shape,” International Applied Mechanics, vol. 33, pp. 491-496, 1997.
[13] V. V. Meglinskii, "Bending of an Elliptical Anisotropic Plate with Two Elliptical Holes,” Prikladnaya Mekhanika, vol. 2, pp. 19-27, 1966.
[14] S. Santhanam, J. N. Majerus, K.P. Jen, and D. S. Karanth, "Analytical/Numerical Solution for a Single Hole-Edge Crack in a Narrow Plate under Pure Bending,” Engineering Fracture Mechanics, vol. 46, pp. 751-761, 1993.
[15] Q. Yangn, C. F. Gao, and W. Chen, "Stress Analysis of a Functionally Graded Plate with Circular Hole,” Archive Applied Mechanics, vol. 80, pp. 895-907, 2009.
[16] D. V. Kubair and B. Bhanu-Chandar, "Stress Concentration Factor Due to a Circular Hole in a Functionally Graded Panels under Uniaxial Tension,” International Journal of Mechanical Sciences, vol. 50, pp. 732-742, 2008.
[17] M. Mohammadi, J. R. Dryden, and L. Jiang, "Stress Concentration around a Hole in a Radially Inhomogeneous Plate,” International Journal of Solids and Structures, vol. 48, pp. 483-491, 2011.
[18] R. Sburlati, "Stress Concentration Factor Due to a Functionally Graded Ring around a Hole in an Isotropic Plate,” International Journal of Solids and Structures, 2013.
[19] N. I. Muskhelishvili, "Some Basic Problem of Mathematical Theory of Elasticity,” Noordhoof, Leyden, 1975.
[20] G. N. Savin, "Stress Concentration around Holes,” Pergamon Press, New York, 1961.