메뉴 건너뛰기




Volumn 132, Issue 1, 2006, Pages 1-15

Computation of mixed-mode stress intensity factors for cracks in three-dimensional functionally graded solids

Author keywords

Computation; Cracking; Stress intensity factor; Three dimensional analysis

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; COMPUTER SIMULATION; CRACK INITIATION; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; SOLIDS;

EID: 31144473056     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2006)132:1(1)     Document Type: Article
Times cited : (61)

References (63)
  • 2
    • 0034228644 scopus 로고    scopus 로고
    • "Numerical calculation of stress intensity factors in functionally graded materials"
    • IJFRAP 0376-9429
    • Anlas, G., Santare, M. H., and Lambros, J. (2000). "Numerical calculation of stress intensity factors in functionally graded materials." Int. J. Fract.IJFRAP0376-9429, 104, 103-143.
    • (2000) Int. Fract. , vol.104 , pp. 103-143
    • Anlas, G.1    Santare, M.H.2    Lambros, J.3
  • 3
    • 0036562958 scopus 로고    scopus 로고
    • "Dominance of asymptotic crack tip fields in elastic functionally graded materials"
    • IJFRAP 0376-9429 10.1023/A:1016372120480
    • Anlas, G., Santare, M. H., and Lambros, J. (2002). "Dominance of asymptotic crack tip fields in elastic functionally graded materials." Int. J. Fract.IJFRAP0376-942910.1023/A:1016372120480, 115, 193-204.
    • (2002) Int. J. Fract. , vol.115 , pp. 193-204
    • Anlas, G.1    Santare, M.H.2    Lambros, J.3
  • 4
    • 0037397139 scopus 로고    scopus 로고
    • "Integral equations with hypersingular kernels-Theory and applications to fracture mechanics"
    • IJESAN 0020-7225 10.1016/S0020-7225(02)00134-9
    • Chan, Y.-S., Fannjiang, A. C., and Paulino, G. H. (2003). "Integral equations with hypersingular kernels-Theory and applications to fracture mechanics." Int. J. Eng. Sci.IJESAN0020-722510.1016/ S0020-7225(02)00134-9, 41, 683-720.
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 683-720
    • Chan, Y.-S.1    Fannjiang, A.C.2    Paulino, G.H.3
  • 5
    • 0035819846 scopus 로고    scopus 로고
    • "The crack problem for nonhomogeneous materials under antiplane shear loading-A displacement based formulation"
    • IJSOAD 0020-7683 10.1016/S0020-7683(00)00217-1
    • Chan, Y.-S., Paulino, G. H., and Fannjiang, A. C. (2001). "The crack problem for nonhomogeneous materials under antiplane shear loading-A displacement based formulation." Int. J. Solids Struct.IJSOAD0020-768310.1016/S0020-7683(00)00217-1, 38, 2989-3005.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 2989-3005
    • Chan, Y.-S.1    Paulino, G.H.2    Fannjiang, A.C.3
  • 6
    • 26044449326 scopus 로고
    • "Conservation laws in elasticity of the J-integral type"
    • ZAMPA8 0044-2275 10.1007/BF01590704
    • Chen, F. H. K., and Shield, R. T. (1977). "Conservation laws in elasticity of the J-integral type." Z. Angew. Math. Phys.ZAMPA80044-227510.1007/BF01590704, 28, 1-22.
    • (1977) Z. Angew. Math. Phys. , vol.28 , pp. 1-22
    • Chen F.H., K.1    Shield, R.T.2
  • 7
    • 0026987186 scopus 로고
    • "Evaluation of stress intensity factors in a circular arc-shaped interfacial crack using L-integral"
    • MSMSD3 0167-6636 10.1016/0167-6636(92)90011-2
    • Choi, N. Y., and Earmme, Y. Y. (1992). "Evaluation of stress intensity factors in a circular arc-shaped interfacial crack using L-integral." Mech. Mater.MSMSD30167-663610.1016/ 0167-6636(92)90011-2, 14, 141-153.
    • (1992) Mech. Mater. , vol.14 , pp. 1-153
    • Choi, N.Y.1    Earmme, Y.Y.2
  • 8
    • 0035118035 scopus 로고    scopus 로고
    • "Thermal fracture of ceramic thermal barrier coatings under high heat flux with time-dependent behavior-Part 1-Experimental results"
    • MSAPE3 0921-5093 10.1016/S0921-5093(00)01393-9
    • Choules, B. D., Kokini, K., and Taylor, T. A. (2001). "Thermal fracture of ceramic thermal barrier coatings under high heat flux with time-dependent behavior-Part 1-Experimental results." Mater. Sci. Eng., AMSAPE30921-509310.1016/S0921-5093(00)01393-9, 299, 296-304.
    • (2001) Mater. Sci. Eng., A , vol.299 , pp. 296-304
    • Choules, B.D.1    Kokini, K.2    Taylor, T.A.3
  • 10
    • 0036739295 scopus 로고    scopus 로고
    • "A surface crack in a graded medium under general loading conditions"
    • JAMCAV 0021-8936 10.1115/1.1488661
    • Dag, S., and Erdogan, F. (2002). "A surface crack in a graded medium under general loading conditions." ASME J. Appl. Mech.JAMCAV0021-893610.1115/1.1488661, 69, 580-588.
    • (2002) ASME J. Appl. Mech. , vol.69 , pp. 580-588
    • Dag, S.1    Erdogan, F.2
  • 11
    • 0032306701 scopus 로고    scopus 로고
    • "On corner point singularities along a quarter circular crack subject to shear loading"
    • IJFRAP 0376-9429
    • Dhondt, G. (1998). "On corner point singularities along a quarter circular crack subject to shear loading." Int. J. Fract.IJFRAP0376-9429, 89, L33-L38.
    • (1998) Int. J. Fract. , vol.89
    • Dhondt, G.1
  • 12
    • 0035336128 scopus 로고    scopus 로고
    • "3-D mixed-mode K-calculations with the interaction integral method and the quarter point element stress method"
    • CANMER 1069-8299
    • Dhondt, G. (2001). "3-D mixed-mode K-calculations with the interaction integral method and the quarter point element stress method." Commun. Numer. Methods Eng.CANMER1069-8299, 17, 303-307.
    • (2001) Commun. Numer. Methods Eng. , vol.17 , pp. 303-307
    • Dhondt, G.1
  • 13
    • 0037156744 scopus 로고    scopus 로고
    • "Mixed-mode K-calculations in anisotropic materials"
    • EFMEAH 0013-7944
    • Dhondt, G. (2002). "Mixed-mode K-calculations in anisotropic materials." Eng. Fract. Mech.EFMEAH0013-7944, 69, 909-922.
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 909-922
    • Dhondt, G.1
  • 14
    • 0037198013 scopus 로고    scopus 로고
    • "On the computation of mixed-mode stress intensity factors in functionally graded materials"
    • IJSOAD 0020-7683
    • Dolbow, J., and Gosz, M. (2002). "On the computation of mixed-mode stress intensity factors in functionally graded materials." Int. J. Solids Struct.IJSOAD0020-7683, 39, 2557-2574.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 2557-2574
    • Dolbow, J.1    Gosz, M.2
  • 15
    • 0023349326 scopus 로고
    • "Fracture of nonhomogeneous materials"
    • IJFRAP 0376-9429
    • Eischen, J. W. (1987). "Fracture of nonhomogeneous materials." Int. J. Fract.IJFRAP0376-9429, 34, 3-22.
    • (1987) Int. J. Fract. , vol.34 , pp. 3-22
    • Eischen, J.W.1
  • 16
    • 31144465401 scopus 로고    scopus 로고
    • Structural Reliability Technology, 1898 South Flatiron Court, #235, Boulder, Colo. 80301
    • FEACrack 2.6; user's manual. (2005). Structural Reliability Technology, 1898 South Flatiron Court, #235, Boulder, Colo. 80301.
    • (2005) FEACrack 2.6; User's Manual
  • 17
    • 0042843320 scopus 로고    scopus 로고
    • "Three-dimensional mixed-mode fatigue crack growth in a functionally graded titanium alloy"
    • EFMEAH 0013-7944
    • Forth, S. C., Favrow, L. H., Keat, W. D., and Newman, J. A. (2003). "Three-dimensional mixed-mode fatigue crack growth in a functionally graded titanium alloy." Eng. Fract. Mech.EFMEAH0013-7944, 70, 2175-2185.
    • (2003) Eng. Fract. Mech. , vol.70 , pp. 2175-2185
    • Forth, S.C.1    Favrow, L.H.2    Keat, W.D.3    Newman, J.A.4
  • 19
    • 0032076664 scopus 로고    scopus 로고
    • "Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks"
    • IJSOAD 0020-7683 10.1016/S0020-7683(97)00132-7
    • Gosz, M., Dolbow, J., and Moran, B. (1998). "Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks." Int. J. Solids Struct.IJSOAD0020-768310.1016/S0020-7683(97)00132-7, 35, 1763-1783.
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 1763-1783
    • Gosz, M.1    Dolbow, J.2    Moran, B.3
  • 20
    • 0037060452 scopus 로고    scopus 로고
    • "An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions"
    • EFMEAH 0013-7944 10.1016/S0013-7944(01)00080-7
    • Gosz, M., and Moran, B. (2002). "An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions." Eng. Fract. Mech.EFMEAH0013-794410.1016/S0013-7944(01)00080-7, 69, 299-319.
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 299-319
    • Gosz, M.1    Moran, B.2
  • 21
    • 0033100158 scopus 로고    scopus 로고
    • "A simplified method for calculating the crack-tip field of functionally-graded materials using the domain integral"
    • JAMCAV 0021-8936
    • Gu, P., Dao, M., and Asaro, R. J. (1999). "A simplified method for calculating the crack-tip field of functionally-graded materials using the domain integral." ASME J. Appl. Mech.JAMCAV0021-8936, 66, 101-108.
    • (1999) ASME J. Appl. Mech. , vol.66 , pp. 101-108
    • Gu, P.1    Dao, M.2    Asaro, R.J.3
  • 22
    • 15544373438 scopus 로고    scopus 로고
    • Civil Engineering, Rep. No. UILU-ENG-95-2012, Univ. of Illinois at Urbana-Champaign, Urbana, Ill
    • Gullerud, A., et al. (2004). WARP3D Release 15 manual, Civil Engineering, Rep. No. UILU-ENG-95-2012, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
    • (2004) WARP3D Release 15 Manual
    • Gullerud, A.1
  • 23
    • 1842764890 scopus 로고    scopus 로고
    • "A new model for fracture analysis of a functionally graded interfacial zone under harmonic anti-plane loading"
    • EFMEAH 0013-7944
    • Huang, G.-Y., and Wang, Y.-S. (2004). "A new model for fracture analysis of a functionally graded interfacial zone under harmonic anti-plane loading." Eng. Fract. Mech.EFMEAH0013-7944, 71, 1841-1851.
    • (2004) Eng. Fract. Mech. , vol.71 , pp. 1841-1851
    • Huang, G.-Y.1    Wang, Y.-S.2
  • 24
    • 1842524081 scopus 로고    scopus 로고
    • "Crack growth resistance behavior of a functionally graded material: Computational studies"
    • EFMEAH 0013-7944
    • Jin, Z.-H., and Dodds, R. H., Jr. (2004). "Crack growth resistance behavior of a functionally graded material: Computational studies." Eng. Fract. Mech.EFMEAH0013-7944, 71, 1651-1672.
    • (2004) Eng. Fract. Mech. , vol.71 , pp. 1651-1672
    • Jin, Z.-H.1    Dodds Jr., R.H.2
  • 25
    • 0036588527 scopus 로고    scopus 로고
    • "Finite element investigation of quasistatic crack growth in functionally graded materials using a novel cohesive zone fracture model"
    • JAMCAV 0021-8936 10.1115/1.1467092
    • Jin, Z.-H., Paulino, G. H., and Dodds, R. H., Jr. (2002). "Finite element investigation of quasistatic crack growth in functionally graded materials using a novel cohesive zone fracture model." ASME J. Appl. Mech.JAMCAV0021-893610.1115/1.1467092, 69, 370-379.
    • (2002) ASME J. Appl. Mech. , vol.69 , pp. 370-379
    • Jin, Z.-H.1    Paulino, G.H.2    Dodds Jr., R.H.3
  • 26
    • 0038265528 scopus 로고    scopus 로고
    • "Cohesive fracture modeling of elastic-plastic crack growth in functionally graded materials"
    • EFMEAH 0013-7944 10.1016/S0013-7944(03)00130-9
    • Jin, Z.-H., Paulino, G. H., and Dodds, R. H., Jr. (2003). "Cohesive fracture modeling of elastic-plastic crack growth in functionally graded materials." Eng. Fract. Mech.EFMEAH0013-794410.1016/ S0013-7944(03)00130-9, 70, 1885-1912.
    • (2003) Eng. Fract. Mech. , vol.70 , pp. 1885-1912
    • Jin, Z.-H.1    Paulino, G.H.2    Dodds Jr., R.H.3
  • 27
    • 0010983184 scopus 로고    scopus 로고
    • "Mixed-mode crack propagation in functionally graded materials"
    • PhD thesis, Univ. of Illinois at Urbana-Champaign, Urbana, Ill
    • Kim, J.-H. (2003). "Mixed-mode crack propagation in functionally graded materials." PhD thesis, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
    • (2003)
    • Kim, J.-H.1
  • 28
    • 0037139403 scopus 로고    scopus 로고
    • "Finite element evaluation of mixed mode stress intensity factors in functionally graded materials"
    • IJNMBH 0029-5981 10.1002/nme.364
    • Kim, J.-H., and Paulino, G. H. (2002a). "Finite element evaluation of mixed mode stress intensity factors in functionally graded materials." Int. J. Numer. Methods Eng.IJNMBH0029-598110.1002/ nme.364, 53, 1903-1935.
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , pp. 1903-1935
    • Kim, J.-H.1    Paulino, G.H.2
  • 29
    • 0036660685 scopus 로고    scopus 로고
    • "Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials"
    • JAMCAV 0021-8936 10.1115/1.1467094
    • Kim, J.-H., and Paulino, G. H. (2002b). "Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials." ASME J. Appl. Mech.JAMCAV0021-893610.1115/1.1467094, 69, 502-514.
    • (2002) ASME J. Appl. Mech. , vol.69 , pp. 502-514
    • Kim, J.-H.1    Paulino, G.H.2
  • 30
    • 0037210112 scopus 로고    scopus 로고
    • "Mixed-mode J-integral formulation and implementation using graded finite elements for fracture analysis of nonhomogeneous orthotropic materials"
    • MSMSD3 0167-6636 10.1016/S0167-6636(02)00159-X
    • Kim, J.-H., and Paulino, G. H. (2003a). "Mixed-mode J-integral formulation and implementation using graded finite elements for fracture analysis of nonhomogeneous orthotropic materials." Mech. Mater.MSMSD30167-663610.1016/S0167-6636(02)00159-X, 35, 107-128.
    • (2003) Mech. Mater. , vol.35 , pp. 107-128
    • Kim, J.-H.1    Paulino, G.H.2
  • 31
    • 0037436532 scopus 로고    scopus 로고
    • "T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: A unified approach using the interaction integral method"
    • CMMECC 0045-7825 10.1016/S0045-7825(02)00652-7
    • Kim, J.-H., and Paulino, G. H. (2003b). "T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: A unified approach using the interaction integral method." Comput. Methods Appl. Mech. Eng.CMMECC0045-782510.1016/ S0045-7825(02)00652-7, 192, 1463-1494.
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , pp. 1463-1494
    • Kim, J.-H.1    Paulino, G.H.2
  • 32
    • 0038007848 scopus 로고    scopus 로고
    • "The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors"
    • IJSOAD 0020-7683
    • Kim, J.-H., and Paulino, G. H. (2003c). "The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors." Int. J. Solids Struct.IJSOAD0020-7683, 40, 3967-4001.
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 3967-4001
    • Kim, J.-H.1    Paulino, G.H.2
  • 33
    • 0038619126 scopus 로고    scopus 로고
    • "An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models"
    • IJNMBH 0029-5981 10.1002/nme.819
    • Kim, J.-H., and Paulino, G. H. (2003d). "An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models." Int. J. Numer. Methods Eng.IJNMBH0029-598110.1002/nme.819, 58, 1457-1497.
    • (2003) Int. J. Numer. Methods Eng. , vol.58 , pp. 1457-1497
    • Kim, J.-H.1    Paulino, G.H.2
  • 34
    • 2942653175 scopus 로고    scopus 로고
    • "T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalism"
    • IJFRAP 0376-9429 10.1023/B:FRAC.0000031092.47424.f0
    • Kim, J.-H., and Paulino, G. H. (2004). "T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalism." Int. J. Fract.IJFRAP0376-942910.1023/B:FRAC.0000031092.47424.f0, 126, 345-389.
    • (2004) Int. J. Fract. , vol.126 , pp. 345-389
    • Kim, J.-H.1    Paulino, G.H.2
  • 35
    • 0035838944 scopus 로고    scopus 로고
    • "Mode decomposition of three-dimensional mixed-mode cracks via two-state integrals"
    • IJSOAD 0020-7683 10.1016/S0020-7683(00)00408-X
    • Kim, Y. J., Kim, H.-G., and Im, S. (2001). "Mode decomposition of three-dimensional mixed-mode cracks via two-state integrals." Int. J. Solids Struct.IJSOAD0020-768310.1016/S0020-7683(00)00408-X, 38, 6405-6426.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 6405-6426
    • Kim, Y.J.1    Kim, H.-G.2    Im, S.3
  • 36
    • 0009335331 scopus 로고
    • "On a class of conservation laws in linearized and finite elastostatics"
    • AVRMAW 0003-9527
    • Knowles, J. K., and Sternberg, E. (1972). "On a class of conservation laws in linearized and finite elastostatics." Arch. Ration. Mech. Anal.AVRMAW0003-9527, 44, 187-211.
    • (1972) Arch. Ration. Mech. Anal. , vol.44 , pp. 187-211
    • Knowles, J.K.1    Sternberg, E.2
  • 37
    • 0028400406 scopus 로고
    • "The mixed-mode crack problem in a nonhomogeneous elastic medium"
    • EFMEAH 0013-7944 10.1016/0013-7944(94)90253-4
    • Konda, N., and Erdogan, F. (1994). "The mixed-mode crack problem in a nonhomogeneous elastic medium." Eng. Fract. Mech.EFMEAH0013-794410.1016/0013-7944(94)90253-4, 47, 533-545.
    • (1994) Eng. Fract. Mech. , vol.47 , pp. 533-545
    • Konda, N.1    Erdogan, F.2
  • 38
    • 0033078549 scopus 로고    scopus 로고
    • "The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks"
    • IJNMBH 0029-5981 10.1002/ (SICI)1097-0207(0228):6<767::AID-NME524>3.0.CO;2-G
    • Krysl, P., and Belytschko, T. (1999). "The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks." Int. J. Numer. Methods Eng.IJNMBH0029-598110.1002/ (SICI)1097-0207(19990228)44:6<767::AID-NME524>3.0.CO;2-G, 44, 767-800.
    • (1999) Int. J. Numer. Methods Eng. , vol.44 , pp. 767-800
    • Krysl, P.1    Belytschko, T.2
  • 39
    • 0032081022 scopus 로고    scopus 로고
    • "Internally circumferentially cracked cylinders with functionally graded material properties"
    • PRVPAS 0308-0161 10.1016/S0308-0161(98)00053-2
    • Li, C., and Zou, Z. (1998a). "Internally circumferentially cracked cylinders with functionally graded material properties." Int. J. Pressure Vessels PipingPRVPAS0308-016110.1016/S0308-0161(98)00053-2, 75, 499-507.
    • (1998) Int. J. Pressure Vessels Piping , vol.75 , pp. 499-507
    • Li, C.1    Zou, Z.2
  • 40
    • 0032273442 scopus 로고    scopus 로고
    • "Stress intensity factors for a functionally graded material cylinder with an external circumferential crack"
    • FFESEY 8756-758X
    • Li, C., and Zou, Z. (1998b). "Stress intensity factors for a functionally graded material cylinder with an external circumferential crack." Fatigue Fract. Eng. Mater. Struct.FFESEY8756-758X, 21, 1447-1457.
    • (1998) Fatigue Fract. Eng. Mater. Struct. , vol.21 , pp. 1447-1457
    • Li, C.1    Zou, Z.2
  • 41
    • 0032831544 scopus 로고    scopus 로고
    • "Stress intensity factors for functionally graded solid cylinders"
    • EFMEAH 0013-7944
    • Li, C., Zou, Z., and Duan, Z. (1999). "Stress intensity factors for functionally graded solid cylinders." Eng. Fract. Mech.EFMEAH0013-7944, 63, 735-749.
    • (1999) Eng. Fract. Mech. , vol.63 , pp. 735-749
    • Li, C.1    Zou, Z.2    Duan, Z.3
  • 42
    • 0034156040 scopus 로고    scopus 로고
    • "Multiple isoparametric finite element method for nonhomogeneous media"
    • MRCOD2 0093-6413 10.1016/S0093-6413(00)00073-2
    • Li, C., Zou, Z., and Duan, Z. (2000). "Multiple isoparametric finite element method for nonhomogeneous media." Mech. Res. Commun.MRCOD20093-641310.1016/S0093-6413(00)00073-2, 27, 137-142.
    • (2000) Mech. Res. Commun. , vol.27 , pp. 137-142
    • Li, C.1    Zou, Z.2    Duan, Z.3
  • 43
    • 0027167172 scopus 로고
    • "Domain integrals for axisymmetric interface problems"
    • IJSOAD 0020-7683 10.1016/0020-7683(93)90049-D
    • Nahta, R., and Moran, B. (1993). "Domain integrals for axisymmetric interface problems." Int. J. Solids Struct.IJSOAD0020-768310.1016/ 0020-7683(93)90049-D, 30, 2027-2040.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 2027-2040
    • Nahta, R.1    Moran, B.2
  • 44
    • 0026369051 scopus 로고
    • "Three-dimensional stress fields of elastic interface cracks"
    • JAMCAV 0021-8936
    • Nakamura, T. (1991). "Three-dimensional stress fields of elastic interface cracks." ASME J. Appl. Mech.JAMCAV0021-8936, 58, 939-946.
    • (1991) ASME J. Appl. Mech. , vol.58 , pp. 939-946
    • Nakamura, T.1
  • 45
    • 0024907050 scopus 로고
    • "Antisymmetrical 3-D stress field near the crack front of a thin elastic plate"
    • IJSOAD 0020-7683 10.1016/0020-7683(89)90109-1
    • Nakamura, T., and Parks, D. M. (1989). "Antisymmetrical 3-D stress field near the crack front of a thin elastic plate." Int. J. Solids Struct.IJSOAD0020-768310.1016/0020-7683(89)90109-1, 25, 1411-1426.
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 1411-1426
    • Nakamura, T.1    Parks, D.M.2
  • 46
    • 0029272094 scopus 로고
    • "An axisymmetric crack in bonded materials with a nonhomogeneous interfacial zone under torsion"
    • JAMCAV 0021-8936
    • Ozturk, M., and Erdogan, F. (1995). "An axisymmetric crack in bonded materials with a nonhomogeneous interfacial zone under torsion." ASME J. Appl. Mech.JAMCAV0021-8936, 62, 116-125.
    • (1995) ASME J. Appl. Mech. , vol.62 , pp. 116-125
    • Ozturk, M.1    Erdogan, F.2
  • 47
    • 0029780238 scopus 로고    scopus 로고
    • "Axisymmetric crack problem in bonded materials with a graded interfacial region"
    • IJSOAD 0020-7683 10.1016/0020-7683(95)00034-8
    • Ozturk, M., and Erdogan, F. (1996). "Axisymmetric crack problem in bonded materials with a graded interfacial region." Int. J. Solids Struct.IJSOAD0020-768310.1016/0020-7683(95)00034-8, 33, 193-219.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 193-219
    • Ozturk, M.1    Erdogan, F.2
  • 48
    • 84903413201 scopus 로고    scopus 로고
    • "Failure of functionally graded materials"
    • B. Karihaloo and W. Knauss, eds., Elsevier, New York
    • Paulino, G. H., Jin, Z.-H., and Dodds, R. H., Jr. (2002). "Failure of functionally graded materials." Comprehensive structural integrity, Vol. 2, B. Karihaloo and W. G. Knauss, eds., Elsevier, New York.
    • (2002) Comprehensive Structural Integrity , vol.2
    • Paulino, G.H.1    Jin, Z.-H.2    Dodds Jr., R.H.3
  • 49
    • 1842785547 scopus 로고    scopus 로고
    • "A new approach to compute T-stress in functionally graded materials using the interaction integral method"
    • EFMEAH 0013-7944 10.1016/j.engfracmech.2003.11.005
    • Paulino, G. H., and Kim, J.-H. (2004). "A new approach to compute T-stress in functionally graded materials using the interaction integral method." Eng. Fract. Mech.EFMEAH0013-794410.1016/ j.engfracmech.2003.11.005, 71, 1907-1950.
    • (2004) Eng. Fract. Mech. , vol.71 , pp. 1907-1950
    • Paulino, G.H.1    Kim, J.-H.2
  • 50
    • 0028445564 scopus 로고
    • "Some implications of corner point singularities"
    • EFMEAH 0013-7944
    • Pook, L. P. (1994). "Some implications of corner point singularities." Eng. Fract. Mech.EFMEAH0013-7944, 48, 367-378.
    • (1994) Eng. Fract. Mech. , vol.48 , pp. 367-378
    • Pook, L.P.1
  • 51
    • 0037425465 scopus 로고    scopus 로고
    • "Interface thermal fracture in functionally graded zirconia-mullite-bond coat alloy thermal barrier coatings"
    • ACMAFD 1359-6454 10.1016/S1359-6454(02)00396-8
    • Rangaraj, S., and Kokini, K. (2003). "Interface thermal fracture in functionally graded zirconia-mullite-bond coat alloy thermal barrier coatings." Acta Mater.ACMAFD1359-645410.1016/S1359-6454(02)00396-8, 51, 251-267.
    • (2003) Acta Mater. , vol.51 , pp. 2-267
    • Rangaraj, S.1    Kokini, K.2
  • 52
    • 0037217189 scopus 로고    scopus 로고
    • "Mesh-free analysis of cracks in isotropic functionally graded materials"
    • EFMEAH 0013-7944 10.1016/S0013-7944(02)00038-3
    • Rao, B. N., and Rahman, S. (2003). "Mesh-free analysis of cracks in isotropic functionally graded materials." Eng. Fract. Mech.EFMEAH0013-794410.1016/S0013-7944(02)00038-3, 70, 1-27.
    • (2003) Eng. Fract. Mech. , vol.70 , pp. 1-27
    • Rao, B.N.1    Rahman, S.2
  • 53
    • 84980287971 scopus 로고
    • "A path independent integral and the approximate analysis of strain concentration by notches and cracks"
    • JAMCAV 0021-8936
    • Rice, J. R. (1968). "A path independent integral and the approximate analysis of strain concentration by notches and cracks." J. Appl. Mech.JAMCAV0021-8936, 35, 379-386.
    • (1968) J. Appl. Mech. , vol.35 , pp. 379-386
    • Rice, J.R.1
  • 54
    • 0022659760 scopus 로고
    • "Energy release rate along a three-dimensional crack front in a thermally stressed body"
    • IJFRAP 0376-9429
    • Shih, C. F., Moran, B., and Nakamura, T. (1986). "Energy release rate along a three-dimensional crack front in a thermally stressed body." Int. J. Fract.IJFRAP0376-9429, 30, 79-102.
    • (1986) Int. J. Fract. , vol.30 , pp. 79-102
    • Shih, C.F.1    Moran, B.2    Nakamura, T.3
  • 55
    • 0016964131 scopus 로고
    • "A contour integral computation of mixed-mode stress intensity factors"
    • IJFRAP 0376-9429
    • Stern, M., Becker, E. B., and Dunham, R. S. (1976). "A contour integral computation of mixed-mode stress intensity factors." Int. J. Fract.IJFRAP0376-9429, 12, 359-368.
    • (1976) Int. J. Fract. , vol.12 , pp. 359-368
    • Stern, M.1    Becker, E.B.2    Dunham, R.S.3
  • 57
    • 4644268606 scopus 로고    scopus 로고
    • "Symmetric Galerkin boundary element computation of T-stress and stress intensity factors for mixed-mode cracks by the interaction integral method"
    • EABAEL 0955-7997
    • Sutradhar, S., and Paulino, G. H. (2004). "Symmetric Galerkin boundary element computation of T-stress and stress intensity factors for mixed-mode cracks by the interaction integral method." Eng. Anal. Boundary Elem.EABAEL0955-7997, 28, 1335-1350.
    • (2004) Eng. Anal. Boundary Elem. , vol.28 , pp. 1335-1350
    • Sutradhar, S.1    Paulino, G.H.2
  • 58
    • 0346670133 scopus 로고    scopus 로고
    • "Stress intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading"
    • IJSOAD 0020-7683
    • Walters, M. C., Paulino, G. H., and Dodds, R. H., Jr. (2004). "Stress intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading." Int. J. Solids Struct.IJSOAD0020-7683, 41, 1081-1118.
    • (2004) Int. J. Solids Struct. , vol.41 , pp. 1081-1118
    • Walters, M.C.1    Paulino, G.H.2    Dodds Jr., R.H.3
  • 59
    • 15544362276 scopus 로고    scopus 로고
    • "Interaction integral procedures for 3-D curved cracks including surface tractions"
    • EFMEAH 0013-7944
    • Walters, M. C., Paulino, G. H., and Dodds, R. H., Jr. (2005). "Interaction integral procedures for 3-D curved cracks including surface tractions." Eng. Fract. Mech.EFMEAH0013-7944, 72, 1635-1663.
    • (2005) Eng. Fract. Mech. , vol.72 , pp. 1635-1663
    • Walters, M.C.1    Paulino, G.H.2    Dodds Jr., R.H.3
  • 60
    • 2442566484 scopus 로고    scopus 로고
    • "Elastic T-stress solutions for penny-shaped cracks under tension and bending"
    • EFMEAH 0013-7944
    • Wang, X. (2004). "Elastic T-stress solutions for penny-shaped cracks under tension and bending." Eng. Fract. Mech.EFMEAH0013-7944, 71, 2283-2298.
    • (2004) Eng. Fract. Mech. , vol.71 , pp. 2283-2298
    • Wang, X.1
  • 61
    • 0035924508 scopus 로고    scopus 로고
    • "FE analysis of stresses and stress intensity factors of interfacial cracks in a CTS specimen"
    • EFMEAH 0013-7944
    • Wei, L. W., Edwards, L., and Fitzpatrick, M. E. (2002). "FE analysis of stresses and stress intensity factors of interfacial cracks in a CTS specimen." Eng. Fract. Mech.EFMEAH0013-7944, 69, 85-90.
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 85-90
    • Wei, L.W.1    Edwards, L.2    Fitzpatrick, M.E.3
  • 62
    • 85137171003 scopus 로고
    • "On the stress distribution at the base of a stationary crack"
    • JAMCAV 0021-8936
    • Williams, M. L. (1957). "On the stress distribution at the base of a stationary crack." ASME J. Appl. Mech.JAMCAV0021-8936, 24, 109-114.
    • (1957) ASME J. Appl. Mech. , vol.24 , pp. 109-114
    • Williams, M.L.1
  • 63
    • 0019022658 scopus 로고
    • "A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity"
    • JAMCAV 0021-8936
    • Yau, J. F., Wang, S. S., and Corten, H. T. (1980). "A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity." ASME J. Appl. Mech.JAMCAV0021-8936, 47, 335-341.
    • (1980) ASME J. Appl. Mech. , vol.47 , pp. 335-341
    • Yau, J.F.1    Wang, S.S.2    Corten, H.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.