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Effect of Poisson’s Ratio on Stress/Strain Concentration at Circular Holes in Elastic Plates Subjected to Biaxial Loading — Three Dimensional Finite Element Analysis

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Characterization of Minerals, Metals, and Materials 2016

Abstract

It is necessary to determine stress and strain concentration factors around the circular notch in order to determine the site of crack initiation. The through-thickness variations of stress and strain concentration factors for plate contains a central circular notch subjected to biaxial loading have been investigated by using three dimensional finite element method (3D FEM). To study the effect of Poisson’s ratio (v) on elastic stress/strain concentration factors around the circular notch, four different values of Poisson’s ratio (v), varied from 0.1 to 0.4, have been studied numerically.

It is found that the maximum stress and strain concentration factors increase with increasing the Poisson’s ratio (v). The stress and strain concentration factors increase with decrease the biaxial ratio. Furthermore, the effect of Poisson’ s ratio (v) on stress and strain concentration factor decreases with increasing the biaxial ratio.

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References

  1. Li ZH, Guo WL. Three-dimensional elastic stress fields ahead of blunt V-notches in finite thickness plates. Int J Fracture 2001;107: 53–71.

    Article  Google Scholar 

  2. Nakamura T, Parks DM. Three-dimensional crack front fields in a thin ductile plate. J Mech Phys Solids 1990;38:787–812.

    Article  Google Scholar 

  3. Wang X. Elastic T-stress solutions for semi-elliptical surface cracks in finite thickness plates. Eng Fract Mech 2003:731–56.

    Google Scholar 

  4. Li ZH, Guo WL, Kuang ZB. Three-dimensional elastic stress fields near notches in finite thickness plates. Int J Solids Struct 2000;37: 7617–31.

    Article  Google Scholar 

  5. Yang Z, Guo WL, Xu X Three-dimensional elastic stress fields near notches in finite thickness bimaterial plates. J Mech Strength 2003;25:90–4.

    Google Scholar 

  6. She CM, Guo WL. Numerical investigations of maximum stress concentration at elliptic holes in finite thickness piezoelectric plates. Int J Fatigue 2006;28:438–15

    Article  Google Scholar 

  7. Amr A. Abd Hhady. Stress and strain concentration factors for plate with small notch subjected to biaxial loading — Three dimensional finite element analysis. An Shams Engineering Journal (2010) 1, 139–145

    Article  Google Scholar 

  8. She CM, Guo WL. Three-dimensional stress concentrations at elliptic holes in elastic isotropic plates subjected to tensile stress. Int J Fatigue 2007;29:330–335

    Article  Google Scholar 

  9. Kotousov A, Wang CH. Three-dimensional stress constraint in an elastic plate with a notch. Int J Solids Struct 2002;39:4311–26.

    Article  Google Scholar 

  10. Peishi Yu, Wanlin Guo, Chongmin She, Junhua Zhao The influence of Poisson’s ratio on thickness-dependent stress concentration at elliptic holes in elastic plates International Journal of Fatigue 30 (2008) 165–171 (Peishi etal., 2008)

    Article  Google Scholar 

  11. Tlilan H. M. Effect of Poisson’s Ratio on the Elastic Strain Concentration Factor of Notched Bars under Static Tension and under Pure Bending Jordan Journal of Mechanical and Industrial Engineering Volume 4, Number 6, December 2010 (Tlilan, 2010)

    Google Scholar 

  12. ABAQUS user’s manual version 6.3. Pawtucket, RI: Hibbitt, Karlsson and Sorensen Inc.; 2002.

    Google Scholar 

  13. zheng Yang, Chang-Boo Kim, Chongdu Cho, Hyeon Gyu Beom “The concentration of stress and strain in finite thickness elastic plate containing a circular hole” International Journal of solid and Structures, 45 (2008) 713–731.

    Article  Google Scholar 

  14. Peterson RE. Stress concentration factors. New York: John Wiley and Sons; 1997.

    Google Scholar 

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© 2016 TMS (The Minerals, Metals & Materials Society)

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Abd-Elhady, A.A., Sallam, H.ED.M. (2016). Effect of Poisson’s Ratio on Stress/Strain Concentration at Circular Holes in Elastic Plates Subjected to Biaxial Loading — Three Dimensional Finite Element Analysis. In: Ikhmayies, S.J., et al. Characterization of Minerals, Metals, and Materials 2016. Springer, Cham. https://doi.org/10.1007/978-3-319-48210-1_6

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