메뉴 건너뛰기




Volumn 74, Issue 9, 2007, Pages 1468-1487

Virtual crack extension method for calculating the second order derivatives of energy release rates for multiply cracked systems

Author keywords

Probabilistic fracture mechanics analysis; Second order derivative of energy release rates; Universal size effect model; Virtual crack extension method

Indexed keywords

CRACKS; FRACTURE MECHANICS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

EID: 33947120749     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.08.009     Document Type: Article
Times cited : (20)

References (22)
  • 1
    • 0024606421 scopus 로고
    • Mode-I fracture in concrete using center-cracked plate specimens
    • Alvarado, Shah S.P., and John R. Mode-I fracture in concrete using center-cracked plate specimens. J Engng Mech ASCE 115 2 (1989) 366-383
    • (1989) J Engng Mech ASCE , vol.115 , Issue.2 , pp. 366-383
    • Alvarado1    Shah, S.P.2    John, R.3
  • 2
    • 0017922727 scopus 로고
    • Unstable growth of thermally induced interacting cracks in brittle solids
    • Nemat-Nasser S., Keer L.M., and Parihar K.S. Unstable growth of thermally induced interacting cracks in brittle solids. Int J Solids Struct 14 (1978) 409-430
    • (1978) Int J Solids Struct , vol.14 , pp. 409-430
    • Nemat-Nasser, S.1    Keer, L.M.2    Parihar, K.S.3
  • 3
    • 0018534057 scopus 로고
    • Stability and post-critical growth of a system of cooling or shrinkage cracks
    • Bazant Z.P., Ohtsubo H., and Aho K. Stability and post-critical growth of a system of cooling or shrinkage cracks. Int J Fract 15 5 (1979) 443-456
    • (1979) Int J Fract , vol.15 , Issue.5 , pp. 443-456
    • Bazant, Z.P.1    Ohtsubo, H.2    Aho, K.3
  • 4
    • 0024932807 scopus 로고
    • A first-order perturbation analysis of crack trapping by arrays of obstables
    • Gao H., and Rice J.R. A first-order perturbation analysis of crack trapping by arrays of obstables. J Appl Mech 56 (1989) 828-836
    • (1989) J Appl Mech , vol.56 , pp. 828-836
    • Gao, H.1    Rice, J.R.2
  • 5
    • 0036577324 scopus 로고    scopus 로고
    • Probabilistic fracture mechanics by Galerkin meshless methods - part II: reliability analysis
    • Rahman S., and Rao B.N. Probabilistic fracture mechanics by Galerkin meshless methods - part II: reliability analysis. Comput Mech 28 5 (2002) 365-374
    • (2002) Comput Mech , vol.28 , Issue.5 , pp. 365-374
    • Rahman, S.1    Rao, B.N.2
  • 6
    • 0000550166 scopus 로고
    • Scaling theories for quasi-brittle fracture: recent advances and new directions
    • Wittmann F.H. (Ed), AEDIFICATIO Publishers, D-79014 Freiburg
    • Bazant Z.P. Scaling theories for quasi-brittle fracture: recent advances and new directions. In: Wittmann F.H. (Ed). Fracture mechanics of concrete structures, Proceedings FRAMCOS-2 (1995), AEDIFICATIO Publishers, D-79014 Freiburg 515-534
    • (1995) Fracture mechanics of concrete structures, Proceedings FRAMCOS-2 , pp. 515-534
    • Bazant, Z.P.1
  • 7
    • 0018922395 scopus 로고
    • A new combined analytical and finite-element solution method for stability analysis of the growth of interacting tension cracks in brittle solids
    • Sumi Y., Nemat-Nasser S., and Keer L.M. A new combined analytical and finite-element solution method for stability analysis of the growth of interacting tension cracks in brittle solids. Int J Engng Sci 18 (1980) 211-224
    • (1980) Int J Engng Sci , vol.18 , pp. 211-224
    • Sumi, Y.1    Nemat-Nasser, S.2    Keer, L.M.3
  • 9
    • 0021394871 scopus 로고
    • Stress intensity factors for semi-infinite plane crack with a wavy front
    • Meade K.P., and Keer L.M. Stress intensity factors for semi-infinite plane crack with a wavy front. J Elasticity 14 (1984) 79-92
    • (1984) J Elasticity , vol.14 , pp. 79-92
    • Meade, K.P.1    Keer, L.M.2
  • 10
    • 0022131966 scopus 로고
    • First-order variation in elastic fields due to variation in location of a planar crack front
    • Rice J.R. First-order variation in elastic fields due to variation in location of a planar crack front. J Appl Mech 52 (1985) 571-579
    • (1985) J Appl Mech , vol.52 , pp. 571-579
    • Rice, J.R.1
  • 11
    • 0025567787 scopus 로고
    • Energy methods in fracture mechanics: stability, bifurcation and second variations
    • Nguyen Q.S., Stolz C., and Debruyne G. Energy methods in fracture mechanics: stability, bifurcation and second variations. Eur J Mech A/Solids 9 2 (1990) 157-173
    • (1990) Eur J Mech A/Solids , vol.9 , Issue.2 , pp. 157-173
    • Nguyen, Q.S.1    Stolz, C.2    Debruyne, G.3
  • 12
    • 0004962786 scopus 로고
    • Double virtual crack extension method for crack growth stability assessment
    • Suo X., and Combescure A. Double virtual crack extension method for crack growth stability assessment. Int J Fract 57 (1992) 127-150
    • (1992) Int J Fract , vol.57 , pp. 127-150
    • Suo, X.1    Combescure, A.2
  • 13
    • 0035324335 scopus 로고    scopus 로고
    • Shape sensitivity analysis in mixed-mode fracture mechanics
    • Chen G., Rahman S., and Park Y.H. Shape sensitivity analysis in mixed-mode fracture mechanics. Comput Mech 27 (2001) 282-291
    • (2001) Comput Mech , vol.27 , pp. 282-291
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 14
    • 0024107865 scopus 로고
    • Variational approach for a new direct-integration form of the virtual crack extension method
    • Lin S.C., and Abel J.F. Variational approach for a new direct-integration form of the virtual crack extension method. Int J Fract 38 (1988) 217-235
    • (1988) Int J Fract , vol.38 , pp. 217-235
    • Lin, S.C.1    Abel, J.F.2
  • 15
    • 0032010466 scopus 로고    scopus 로고
    • On the virtual crack extension method for calculating rates of energy release rate
    • Hwang C.G., Warwzynek P.A., Tayebi A.K., and Ingraffea A.R. On the virtual crack extension method for calculating rates of energy release rate. Engng Fract Mech 59 4 (1998) 521-542
    • (1998) Engng Fract Mech , vol.59 , Issue.4 , pp. 521-542
    • Hwang, C.G.1    Warwzynek, P.A.2    Tayebi, A.K.3    Ingraffea, A.R.4
  • 16
    • 13844298927 scopus 로고    scopus 로고
    • On the calculation of derivatives of stress intensity factors for multiple cracks
    • Hwang C.G., Wawrzynek P.A., and Ingraffea A.R. On the calculation of derivatives of stress intensity factors for multiple cracks. Engng Fract Mech 72 (2005) 1171-1196
    • (2005) Engng Fract Mech , vol.72 , pp. 1171-1196
    • Hwang, C.G.1    Wawrzynek, P.A.2    Ingraffea, A.R.3
  • 17
    • 0035957632 scopus 로고    scopus 로고
    • On the virtual crack extension method for calculating the derivatives of energy release rates for a three-dimensional planar crack of arbitrary shape under mode-I loading
    • Hwang C.G., Warwzynek P.A., and Ingraffea A.R. On the virtual crack extension method for calculating the derivatives of energy release rates for a three-dimensional planar crack of arbitrary shape under mode-I loading. Engng Fract Mech 68 (2001) 925-947
    • (2001) Engng Fract Mech , vol.68 , pp. 925-947
    • Hwang, C.G.1    Warwzynek, P.A.2    Ingraffea, A.R.3
  • 18
    • 0001684679 scopus 로고
    • Interactive finite element analysis of fracture processes: an integrated approach
    • Wawrzynek P.A., and Ingraffea A.R. Interactive finite element analysis of fracture processes: an integrated approach. Theoret Appl Fract Mech 8 (1987) 137-150
    • (1987) Theoret Appl Fract Mech , vol.8 , pp. 137-150
    • Wawrzynek, P.A.1    Ingraffea, A.R.2
  • 19
    • 33947173750 scopus 로고    scopus 로고
    • Paris PC, Sih GC. Stress analysis of cracks. ASTM-STP 381; 1965. p. 65.
  • 20
    • 0033148434 scopus 로고    scopus 로고
    • Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, Part I: theoretical analysis
    • Shbeeb N.I., Binienda W.K., and Kreider K.L. Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, Part I: theoretical analysis. ASME J Appl Mech 66 (1999) 492-500
    • (1999) ASME J Appl Mech , vol.66 , pp. 492-500
    • Shbeeb, N.I.1    Binienda, W.K.2    Kreider, K.L.3
  • 21
    • 0033149106 scopus 로고    scopus 로고
    • Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, Part II: numerical solutions
    • Shbeeb N.I., Binienda W.K., and Kreider K.L. Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, Part II: numerical solutions. ASME J Appl Mech 66 (1999) 501-506
    • (1999) ASME J Appl Mech , vol.66 , pp. 501-506
    • Shbeeb, N.I.1    Binienda, W.K.2    Kreider, K.L.3
  • 22
    • 0030984399 scopus 로고    scopus 로고
    • Scaling of quasibrittle fracture: asymptotic analysis
    • Bazant Z.P. Scaling of quasibrittle fracture: asymptotic analysis. Int J Fract 83 (1997) 19-40
    • (1997) Int J Fract , vol.83 , pp. 19-40
    • Bazant, Z.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.