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DETERMINATION OF STRESS INTENSITY FACTORS IN AN ORTHOTROPIC STRIP WEAKENED BY TWO CRACKS

Yıl 2018, Cilt: 19 Sayı: 3, 768 - 783, 01.09.2018

Öz

In this paper, stress intensity factors (SIFs) at the edges of the cracks in an elastic orthotropic strip weakened by two collinear cracks are determined. The problem consisted of two symmetrical cracks about the sides of the strip and axis y- is approached by Iterative method. Also, by reducing the problem to a system of Cauchy type singular integral equations, a Quadrature technique is used to calculate SIFs. Finally, extensive numerical results and detailed interpretations are given.

Kaynakça

  • [1] Shen D, Fan TY. Exact solutions of two semi-infinite collinear cracks in a strip, Engineering Fracture Mechanics 2003; 70: 813–822.[2] Li LH, Fan TY. Exact solutions of two semi-infinite collinear cracks in a strip of one dimensional hexagonal quasicrystal, Applied Mathematics and Computation 2008; 196: 1–5.
  • [3] Srisvastava KN, Palaiya RM, Karaulia DS. Interaction of shear waves with two coplanar Griffith cracks situated in an infinitely long elastic strip, Int. Journ. of Fracture; 1983; 23: 3-14.
  • [4] Zhou ZG, Bai YY, Zhang XW. Two collinear Griffith cracks subjected to uniform tension in infinitely long strip, International Journal of Solids and Structures 1999; 36: 5597–5609.
  • [5] Li XF. Closed-form solution for two collinear mode-III cracks in an orthotropic elastic strip of finite width, Mechanics Research Communications 2003; 30: 365–370.
  • [6] Delale F, Erdogan F. The Problem of Internal and Edge Cracks in an Orthotropic Strip, J. Appl. Mech 44(2), 237-242.
  • [7] Dhaliwal RS, Singh BM. Two coplanar Griffith cracks in an infinitely long elastic strip, Journal of Elasticity 1981; 11: 229-238.
  • [8] Dhaliwal RS, Singh BM. Two coplanar Griffith cracks in an infinite elastic layer under torsion, Journal of Engineering Mathematics 1977; 11: 337-347.
  • [9] Erbaş B, Yusufoğlu E, Kaplunov J. A plane contact problem for an elastic orthotropic strip. J. Engrg. Math. 2011; 70: 399-409.
  • [10] Erdogan F, Gupta GD, Cook TS. Numerical solution of singular integral equations. In: Sih GC, editor. Method of analysis and solution of crack problems. Leyden: Noordhoff International Publishing, 1973.
  • [11] Yusufoglu E, Turhan İ. A mixed boundary value problem in orthotropic strip containing a crack, Journal of the Franklin Institute 2012; 349: 2750–2769.
  • [12] Yusufoglu E, Turhan İ. A numerical approach for a crack problem by Gauss–Chebyshev quadrature, Arch Appl Mech 2013; 83: 1535–1547.
  • [13] Aleksandrov VM. Two problems with mixed boundary conditions for an elastic orthotropic strip. J. Appl. Math. Mech. 2006; 70: 128-138.
  • [14] Aleksandrov VM, Smetanin BI, Sobol BV. Thin Stress Concentrators in Elastic Solids, Nauka, Moskow, 1993.
  • [15] Aleksandrov VM, Kovalenko YeV. Problems of Continuum Mechanics with Mixed Boundary Conditions. Moscow: Nauka,1986.
  • [16] Lifanov IK, Saakian AV. Method of numerical solution of the problem of impressing a moving stamp into an elastic half-plane, taking heat generation into account 1982; 46: 388-394.
  • [17] Muskheleshvili NI. Singular Integral Equations, Edited by J.R.M. Rodok, Noordhoff International publishing Leyden, 1997.
  • [18] Mason JC, Handscomb DC. Chebyshev Polynomials, CRC Press LLC, 2003.
  • [19] Guo LC, Wu LZ, Zeng T, Ma L. Mode I crack problem for a functionally graded orthotropic strip. European Journal of Mechanics A/Solids 2004; 23: 219–234.
Yıl 2018, Cilt: 19 Sayı: 3, 768 - 783, 01.09.2018

Öz

Kaynakça

  • [1] Shen D, Fan TY. Exact solutions of two semi-infinite collinear cracks in a strip, Engineering Fracture Mechanics 2003; 70: 813–822.[2] Li LH, Fan TY. Exact solutions of two semi-infinite collinear cracks in a strip of one dimensional hexagonal quasicrystal, Applied Mathematics and Computation 2008; 196: 1–5.
  • [3] Srisvastava KN, Palaiya RM, Karaulia DS. Interaction of shear waves with two coplanar Griffith cracks situated in an infinitely long elastic strip, Int. Journ. of Fracture; 1983; 23: 3-14.
  • [4] Zhou ZG, Bai YY, Zhang XW. Two collinear Griffith cracks subjected to uniform tension in infinitely long strip, International Journal of Solids and Structures 1999; 36: 5597–5609.
  • [5] Li XF. Closed-form solution for two collinear mode-III cracks in an orthotropic elastic strip of finite width, Mechanics Research Communications 2003; 30: 365–370.
  • [6] Delale F, Erdogan F. The Problem of Internal and Edge Cracks in an Orthotropic Strip, J. Appl. Mech 44(2), 237-242.
  • [7] Dhaliwal RS, Singh BM. Two coplanar Griffith cracks in an infinitely long elastic strip, Journal of Elasticity 1981; 11: 229-238.
  • [8] Dhaliwal RS, Singh BM. Two coplanar Griffith cracks in an infinite elastic layer under torsion, Journal of Engineering Mathematics 1977; 11: 337-347.
  • [9] Erbaş B, Yusufoğlu E, Kaplunov J. A plane contact problem for an elastic orthotropic strip. J. Engrg. Math. 2011; 70: 399-409.
  • [10] Erdogan F, Gupta GD, Cook TS. Numerical solution of singular integral equations. In: Sih GC, editor. Method of analysis and solution of crack problems. Leyden: Noordhoff International Publishing, 1973.
  • [11] Yusufoglu E, Turhan İ. A mixed boundary value problem in orthotropic strip containing a crack, Journal of the Franklin Institute 2012; 349: 2750–2769.
  • [12] Yusufoglu E, Turhan İ. A numerical approach for a crack problem by Gauss–Chebyshev quadrature, Arch Appl Mech 2013; 83: 1535–1547.
  • [13] Aleksandrov VM. Two problems with mixed boundary conditions for an elastic orthotropic strip. J. Appl. Math. Mech. 2006; 70: 128-138.
  • [14] Aleksandrov VM, Smetanin BI, Sobol BV. Thin Stress Concentrators in Elastic Solids, Nauka, Moskow, 1993.
  • [15] Aleksandrov VM, Kovalenko YeV. Problems of Continuum Mechanics with Mixed Boundary Conditions. Moscow: Nauka,1986.
  • [16] Lifanov IK, Saakian AV. Method of numerical solution of the problem of impressing a moving stamp into an elastic half-plane, taking heat generation into account 1982; 46: 388-394.
  • [17] Muskheleshvili NI. Singular Integral Equations, Edited by J.R.M. Rodok, Noordhoff International publishing Leyden, 1997.
  • [18] Mason JC, Handscomb DC. Chebyshev Polynomials, CRC Press LLC, 2003.
  • [19] Guo LC, Wu LZ, Zeng T, Ma L. Mode I crack problem for a functionally graded orthotropic strip. European Journal of Mechanics A/Solids 2004; 23: 219–234.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

Elçin Yusufoğlu Bu kişi benim

İlkem Turhan Çetinkaya

Yayımlanma Tarihi 1 Eylül 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 19 Sayı: 3

Kaynak Göster

AMA Yusufoğlu E, Çetinkaya İT. DETERMINATION OF STRESS INTENSITY FACTORS IN AN ORTHOTROPIC STRIP WEAKENED BY TWO CRACKS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. Eylül 2018;19(3):768-783.