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The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack

Yıl 2017, Cilt: 17 Sayı: 1, 338 - 345, 24.04.2017

Öz

In this study, a rectangular prism made of an orthotropic material is considered. It is assumed that this
prism contains a band crack whose edge-planes are parallel to the upper and lower face planes. It is
also assumed that uniformly distributed normal forces are imposed the top and bottom surface of the
prism. The aim of this paper is t o a nalyze t he e ffect o f t he s hear m odulus on planes which is
perpendicular to the crack’s edge-planes and parallel to the crack’s front on the Energy Release Rate
(ERR) for different geometric parameters in a rectangular prism. The mathematical formulation of the
corresponding boundary-value problem is carried out within the framework of the 3-dimensional linear
theory of elasticity. In order to solve this problem, the 3D finite element method was employed. The
numerical results are presented.

Kaynakça

  • Akbarov, S.D. and Turan, A. , 2009. Mathematical modelling and the study of the influence of initial stresses o n the SIF and ERR at the crack tips in a plate-strip of orthotropic material. Applied Mathematical Modelling, 33(9), 3682-3692.
  • Cherepanov, G. P., 1967. The propagation of cracks in a continuous medium. Journal of Applied Mathematics and Mechanics, 31(3), 503-512.
  • Ding S.H. and Li. X., 2014. The collinear crack problem for an orthotropic functionally graded coating-substrate structure. Archive of Applied Mechanics, 84(3), 291-307.
  • Fan C., Jar P.Y.B. and Cheng J.J.R., 2007. Prediction of energy release rates for crack growth using FEM-based energy derivative technique. Engineering Fracture Mechanics, (74)8, 1243- 1254.
  • Gosz M., Dolbow J. and Moran B., 1998.Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks. International Journal of Solids and Structures, 35(15)1763–1783.
  • Knowles, J.K. and Sternberg E., 1972. On a Class of Conservation Laws in Linearized and Finite Elastostatics. Archive for Rational Mechanics and Analysis (44)3, 187-211.
  • Lekhnitskii S. G., 1981. Elasticity Theory of Anisotropic Bodies, (in Russian), Mir, Moscow.
  • Li S., Mear M.E. and Xiao L., 1998. Symmetric weak-form integral equation method for threeThe dimensional fracture analysis. Computer Methods in Applied Mechanics and Engineering, 151(3-4), 435–459.
  • Maiti S.K., 1992. Finite element computation of crack closure integrals and stress intensity factors. Engineering Fracture Mechanics, 41(3), 339–348.
  • Oneida E.K., van der Meulen M.C.H and Ingraffea A.R., 2015. Method for calculating G, GI, and GII to simulate crack growth in 2D, multiple-material structures. Engineering Fracture Mechanics, (140), 106-126.
  • Rice, J. R., 1968. A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics, 35(2), 379-386.
  • Shivakumar K.N., Tan P.W., and Newman J.C., 1988. A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies. International. Journal Fracture, 36(3), R43–R50.
  • Sih G., 1973. Handbook of Stress Intensity Factors, Lehigh University.
  • Sukumar N., Moes N., Moran B. and Belytschko T., 2000. Extended finite element method for three-dimensional crack modeling. International Journal for Numerical Methods Engineering, 48(11), 1549-1570.
  • Tada, H., Paris, P. C. and Irwin, G. R., 1985. The Stress Analysis of Cracks Handbook. 2nd ed.,
  • Paris Productions Inc., St. Louis, Missouri
  • Yusufoglu E. and Turhan I.,2012 . A mixed boundary value problem in orthotropic strip containing a crack. Journal of the Franklin Institute, 349(9), 2750–2769.
  • Zienkiewicz O. C. and Taylor R L., 1989. The Finite Element Method- 4th Ed. Vol. 1, Basic Formulation and Linear Problems, London: McGraw-Hill Book Company.
Yıl 2017, Cilt: 17 Sayı: 1, 338 - 345, 24.04.2017

Öz

Kaynakça

  • Akbarov, S.D. and Turan, A. , 2009. Mathematical modelling and the study of the influence of initial stresses o n the SIF and ERR at the crack tips in a plate-strip of orthotropic material. Applied Mathematical Modelling, 33(9), 3682-3692.
  • Cherepanov, G. P., 1967. The propagation of cracks in a continuous medium. Journal of Applied Mathematics and Mechanics, 31(3), 503-512.
  • Ding S.H. and Li. X., 2014. The collinear crack problem for an orthotropic functionally graded coating-substrate structure. Archive of Applied Mechanics, 84(3), 291-307.
  • Fan C., Jar P.Y.B. and Cheng J.J.R., 2007. Prediction of energy release rates for crack growth using FEM-based energy derivative technique. Engineering Fracture Mechanics, (74)8, 1243- 1254.
  • Gosz M., Dolbow J. and Moran B., 1998.Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks. International Journal of Solids and Structures, 35(15)1763–1783.
  • Knowles, J.K. and Sternberg E., 1972. On a Class of Conservation Laws in Linearized and Finite Elastostatics. Archive for Rational Mechanics and Analysis (44)3, 187-211.
  • Lekhnitskii S. G., 1981. Elasticity Theory of Anisotropic Bodies, (in Russian), Mir, Moscow.
  • Li S., Mear M.E. and Xiao L., 1998. Symmetric weak-form integral equation method for threeThe dimensional fracture analysis. Computer Methods in Applied Mechanics and Engineering, 151(3-4), 435–459.
  • Maiti S.K., 1992. Finite element computation of crack closure integrals and stress intensity factors. Engineering Fracture Mechanics, 41(3), 339–348.
  • Oneida E.K., van der Meulen M.C.H and Ingraffea A.R., 2015. Method for calculating G, GI, and GII to simulate crack growth in 2D, multiple-material structures. Engineering Fracture Mechanics, (140), 106-126.
  • Rice, J. R., 1968. A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics, 35(2), 379-386.
  • Shivakumar K.N., Tan P.W., and Newman J.C., 1988. A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies. International. Journal Fracture, 36(3), R43–R50.
  • Sih G., 1973. Handbook of Stress Intensity Factors, Lehigh University.
  • Sukumar N., Moes N., Moran B. and Belytschko T., 2000. Extended finite element method for three-dimensional crack modeling. International Journal for Numerical Methods Engineering, 48(11), 1549-1570.
  • Tada, H., Paris, P. C. and Irwin, G. R., 1985. The Stress Analysis of Cracks Handbook. 2nd ed.,
  • Paris Productions Inc., St. Louis, Missouri
  • Yusufoglu E. and Turhan I.,2012 . A mixed boundary value problem in orthotropic strip containing a crack. Journal of the Franklin Institute, 349(9), 2750–2769.
  • Zienkiewicz O. C. and Taylor R L., 1989. The Finite Element Method- 4th Ed. Vol. 1, Basic Formulation and Linear Problems, London: McGraw-Hill Book Company.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Arzu Turan Dincel

Yayımlanma Tarihi 24 Nisan 2017
Gönderilme Tarihi 2 Ağustos 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 17 Sayı: 1

Kaynak Göster

APA Turan Dincel, A. (2017). The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 17(1), 338-345.
AMA Turan Dincel A. The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. Nisan 2017;17(1):338-345.
Chicago Turan Dincel, Arzu. “The Effect of the Shear Modulus on Planes Which Is Perpendicular to the Crack’s Edge-Planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism With a Band Crack”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17, sy. 1 (Nisan 2017): 338-45.
EndNote Turan Dincel A (01 Nisan 2017) The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17 1 338–345.
IEEE A. Turan Dincel, “The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 17, sy. 1, ss. 338–345, 2017.
ISNAD Turan Dincel, Arzu. “The Effect of the Shear Modulus on Planes Which Is Perpendicular to the Crack’s Edge-Planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism With a Band Crack”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17/1 (Nisan 2017), 338-345.
JAMA Turan Dincel A. The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2017;17:338–345.
MLA Turan Dincel, Arzu. “The Effect of the Shear Modulus on Planes Which Is Perpendicular to the Crack’s Edge-Planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism With a Band Crack”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 17, sy. 1, 2017, ss. 338-45.
Vancouver Turan Dincel A. The Effect of the Shear Modulus on Planes which is Perpendicular to the Crack’s Edge-planes and Parallel to the Crack’s Front on the ERR in an Orthotropic Rectangular Prism with a Band Crack. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2017;17(1):338-45.


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