1 |
Anlas, G., Santare, M.H. and Lambros, J. (2000), "Numerical calculation of stress intensity factors in functionally graded materials", Int. J. Fract., 104, 131-143.
DOI
|
2 |
ANSYS (2004), Theory Manual Version 9.0, Canonsburg, Pennsylvania, USA.
|
3 |
Ayhan, A.O. (2007), "Stress intensity factor for three-dimensional cracks in functionally graded materials using enriched finite elements", Int. J. Solid. Struct., 44, 8579-8599.
DOI
|
4 |
Barsoum, R. (1976), "On the use of isoparametric finite elements in linear fracture mechanics", Int. J. Numer. Meth. Eng., 10, 25-37
DOI
|
5 |
Chen, J., Wu, L. and Du, S. (2000), "A modified J integral for functionally graded materials", Mech. Res. Commun., 27(3), 301-306.
DOI
|
6 |
Delale, F. and Erdogan, F. (1983), "The crack problem for a nonhomogeneous plane", J. Appl. Mech., 50, 609-614.
DOI
|
7 |
Dolbow, J.E. and Gosz, M. (2002), "On the computation of mixed mode stress intensity factors in functionally graded materials", Int. J. Solid. Struct., 39, 2557-2574.
DOI
|
8 |
Eischen, J.W. (1987), "Fracture of nonhomogeneous materials", Int. J. Fract., 34, 3-22.
|
9 |
Erdogan, F. and Wu, B.H. (1997), "The surface crack problem for a plate with functionally graded properties", J. Appl. Mech., 64, 449-456.
DOI
ScienceOn
|
10 |
Ghannad, M., Zamani Nejad, M., Rahimi, G.H. and Sabouri, H. (2012), "Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials", Struct. Eng. Mech., 43(1), 105-126.
DOI
|
11 |
Hosseini, S.M., Akhlaghi, M. and Shakeri, M. (2008), "Heat conduction and heat wave propagation in functionally graded thick hollow cylinder base on coupled thermo elasticity without energy dissipation", J. Heat Mass Tran., 44(12), 1477-84.
DOI
|
12 |
Jin, Z.H. and Noda, N. (1994), "Crack-tip singular fields in nonhomogeneous materials", J. Appl. Mech., 61, 738-740.
DOI
|
13 |
Jin, Z.H. and Batra, R.C. (1996), "Some basic fracture mechanics concepts in functionally graded materials", J. Mech. Phys. Solid., 44, 1221-1235.
DOI
|
14 |
Kheirikhah, M.M. and Khalili, S.M.R. (2011), "Fracture analysis of semi-elliptical cracks at the interface of two functionally gradient materials using 3D finite element method", J. Mater. Des. Appl., 225, 103-110.
|
15 |
Li, C. and Zou, Z. (1998), "Internally circumferentially cracked cylinders with functionally graded material properties", Int. J. Press. Ves. Pip., 75, 499-507.
DOI
|
16 |
Kim, J.H. and Paulino, G.H. (2002), "Finite element evaluation of mixed mode stress intensity factors in functionally graded materials", Int. J. Numer. Meth. Eng., 53(8), 1903-35.
DOI
|
17 |
Kim, J.H. and Paulino, G.H. (2002), "Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method", J. Eng. Fract. Mech., 69, 1557-1586.
DOI
|
18 |
Koizumi, M. (1997), "FGM activities in Japan", Compos. Book Eng., 28 (1-2), 1-4.
DOI
|
19 |
Li, C., Zou, Z. and Duan, Z. (1999), "Stress intensity factors for functionally graded solid cylinders", J. Eng. Fract. Mech., 63, 735-749.
DOI
|
20 |
Li, Y., Zhang, H. and Tan, W. (2006), "Fracture analysis of functionally gradient weak/micro discontinuous interface with finite element method", J. Comput. Mater. Sci., 38, 454-458.
DOI
|
21 |
Li, X.F. and Peng, X.L. (2009), "A pressurized functionally graded hollow cylinder with arbitrarily varying material properties", J. Elast., 96, 81-95.
DOI
|
22 |
Liew, K.M., Kitipornchai, S. and Zhang, X.Z. (2003), "Analysis of the thermal stress behavior of functionally graded hollow circular cylinders", Int. J. Solid. Struct., 40, 2355-2380.
DOI
|
23 |
Marur, P.R. and Tippur, H.V. (2000), "Numerical analysis of crack-tip fields in functionally graded materials with a crack normal to the elastic gradient", Int. J. Solid. Struct., 37, 53-70.
|
24 |
Ozturk, M. and Erdogan, F. (1999), "The mixed mode crack problem in an inhomogeneous orthotropic medium", Int. J. Fract., 98, 243-61.
DOI
|
25 |
Newman, J.C. and Raju, I.S. (1980), "Stress intensity factor for internal surface cracks in cylindrical pressure vessels", J. Press. Ves. Tech., 102, 342-346.
DOI
|
26 |
Newman, J.C. and Raju, I.S. (1982), "Stress intensity factor for internal and external surface cracks in cylindrical pressure vessels", J. Press. Ves. Tech., 104, 293-298.
DOI
|
27 |
Ozturk, M. and Erdogan, F. (1997), "Mode I crack problem in an inhomogeneous orthotropic medium", Int. J. Eng. Sci., 35(9), 869-83.
DOI
ScienceOn
|
28 |
Pan, E. and Roy, A.K. (2006), "A simple plane-strain solution for functionally graded multilayered isotropic cylinders", J. Struct. Eng. Mech., 24(6), 727-740.
DOI
|
29 |
Parameswaran, V. and Shukla, A. (2002), "Asymptotic stress fields for stationary cracks along the gradient in functionally graded materials", J. Appl. Mech., 69, 240-243.
DOI
|
30 |
Shahani, A.R. and Kheirikhah, M.M. (2007), "Stress intensity factor calculation of steel lined hoop wrapped cylinders with internal semi-elliptical circumferential crack", J. Eng. Fract. Mech., 74, 2004-2013.
DOI
|
31 |
Tutunc, U. (2007), "Stresses in thick-walled FGM cylinders with exponentially-varying properties", J. Eng. Struct., 29, 2032-2035.
DOI
|
32 |
Walters, M.C., Paulino, G.H. and Dodds, R.H. (2004), "Stress intensity factors for surface cracks in functionally graded materials under mode-I thermo mechanical loading", Int. J. Solid. Struct., 41, 1081-1118.
DOI
|
33 |
Zimmerman R.W. and Lutz, M.P. (1999), "Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder", J. Therm. Stress, 22, 177-188.
DOI
|
34 |
Walters, M.C., Paulino, G.H. and Dodds, R.H. (2006), "Computation of mixed-mode stress intensity factors for cracks in three-dimensional functionally graded solids", J. Eng. Mech., 132, 1-15.
DOI
|
35 |
Yildirim, B., Dag, S. and Erdogan, F. (2005), "Three dimensional fracture analysis of FGM coatings under thermo mechanical loading", Int. J. Fract., 132, 369-395.
|