메뉴 건너뛰기




Volumn 57, Issue 9, 2009, Pages 1614-1622

When and how do cracks propagate?

Author keywords

Fracture mechanics; Stability; Variational methods

Indexed keywords

BRITTLE MATERIALS; CRACK KINKING; CRACK PATHS; ENERGY RELEASE; LOCAL SYMMETRY; SINGLE CRACK; TIME PROPAGATION; TIME-CONTINUITY; VARIATIONAL METHODS; VARIATIONAL THEORY;

EID: 68049093014     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.05.009     Document Type: Article
Times cited : (100)

References (26)
  • 1
    • 19744381383 scopus 로고    scopus 로고
    • Path prediction of kinked and branched cracks in plane situations
    • Adda-Bedia M. Path prediction of kinked and branched cracks in plane situations. Phys. Rev. Lett. 93 18 (Oct 2004) 185502
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.18 , pp. 185502
    • Adda-Bedia, M.1
  • 3
    • 0026715730 scopus 로고
    • Crack paths in plane situation-II, detailed form of the expansion of the stress intensity factors
    • Amestoy M., and Leblond J.-B. Crack paths in plane situation-II, detailed form of the expansion of the stress intensity factors. Int. J. Solids Struct. 29 4 (1992) 465-501
    • (1992) Int. J. Solids Struct. , vol.29 , Issue.4 , pp. 465-501
    • Amestoy, M.1    Leblond, J.-B.2
  • 5
    • 68049088955 scopus 로고    scopus 로고
    • Revisiting energy release rates in brittle fracture
    • submitted for publication
    • Chambolle, A., Francfort, G.A., Marigo, J.-J., 2008a. Revisiting energy release rates in brittle fracture, submitted for publication.
    • (2008)
    • Chambolle, A.1    Francfort, G.A.2    Marigo, J.-J.3
  • 7
    • 0002643147 scopus 로고    scopus 로고
    • Revisiting brittle fracture as an energy minimization problem: comparison of griffith and barenblatt surface energy models
    • Benallal A. (Ed), Elsevier, Paris
    • Charlotte M., Francfort G.A., Marigo J.-J., and Truskinovky L. Revisiting brittle fracture as an energy minimization problem: comparison of griffith and barenblatt surface energy models. In: Benallal A. (Ed). Continuous Damage and Fracture, The Data Science Library (2000), Elsevier, Paris 7-12
    • (2000) Continuous Damage and Fracture, The Data Science Library , pp. 7-12
    • Charlotte, M.1    Francfort, G.A.2    Marigo, J.-J.3    Truskinovky, L.4
  • 8
    • 33746749395 scopus 로고    scopus 로고
    • Initiation of cracks with cohesive force models: a variational approach
    • Charlotte M., Laverne J., and Marigo J.-J. Initiation of cracks with cohesive force models: a variational approach. Eur. J. Mech. A/Solids 25 4 (2006) 649-669
    • (2006) Eur. J. Mech. A/Solids , vol.25 , Issue.4 , pp. 649-669
    • Charlotte, M.1    Laverne, J.2    Marigo, J.-J.3
  • 9
    • 33745451119 scopus 로고
    • Slightly curved or kinked cracks
    • Cotterell B., and Rice J.R. Slightly curved or kinked cracks. Int. J. Fract. 16 2 (1980) 155-169
    • (1980) Int. J. Fract. , vol.16 , Issue.2 , pp. 155-169
    • Cotterell, B.1    Rice, J.R.2
  • 10
    • 0036952081 scopus 로고    scopus 로고
    • A model for the quasi-static growth of brittle fractures based on local minimization
    • Dal Maso G., and Toader R. A model for the quasi-static growth of brittle fractures based on local minimization. Math. Models Meth. Appl. Sci. 12 12 (2002) 1773-1799
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , Issue.12 , pp. 1773-1799
    • Dal Maso, G.1    Toader, R.2
  • 11
    • 0036557535 scopus 로고    scopus 로고
    • A model for the quasi-static growth of brittle fractures: existence and approximation results
    • Dal Maso G., and Toader R. A model for the quasi-static growth of brittle fractures: existence and approximation results. Arch. Ration. Mech. Anal. 162 (2002) 101-135
    • (2002) Arch. Ration. Mech. Anal. , vol.162 , pp. 101-135
    • Dal Maso, G.1    Toader, R.2
  • 12
    • 34249097400 scopus 로고    scopus 로고
    • Quasi-static crack growth for a cohesive zone model with prescribed crack path
    • Dal Maso G., and Zanini C. Quasi-static crack growth for a cohesive zone model with prescribed crack path. Proc. R. Soc. Edinburgh Sect. A 137 2 (2007) 253-279
    • (2007) Proc. R. Soc. Edinburgh Sect. A , vol.137 , Issue.2 , pp. 253-279
    • Dal Maso, G.1    Zanini, C.2
  • 13
    • 39149119292 scopus 로고    scopus 로고
    • Dynamic fracture: an example of convergence towards a discontinuous quasi-static solution
    • Dumouchel P.-E., Marigo J.-J., and Charlotte M. Dynamic fracture: an example of convergence towards a discontinuous quasi-static solution. Continuum Mech. Therm. 20 (2008) 1-19
    • (2008) Continuum Mech. Therm. , vol.20 , pp. 1-19
    • Dumouchel, P.-E.1    Marigo, J.-J.2    Charlotte, M.3
  • 14
    • 0042859940 scopus 로고    scopus 로고
    • Existence and convergence for quasi-static evolution in brittle fracture
    • Francfort G.A., and Larsen C. Existence and convergence for quasi-static evolution in brittle fracture. Commun. Pure Appl. Math. 56 10 (2003) 1465-1500
    • (2003) Commun. Pure Appl. Math. , vol.56 , Issue.10 , pp. 1465-1500
    • Francfort, G.A.1    Larsen, C.2
  • 15
    • 0032139947 scopus 로고    scopus 로고
    • Revisiting brittle fracture as an energy minimization problem
    • Francfort G.A., and Marigo J.-J. Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46 8 (1998) 1319-1342
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.8 , pp. 1319-1342
    • Francfort, G.A.1    Marigo, J.-J.2
  • 16
    • 34547317166 scopus 로고    scopus 로고
    • Une approche variationnelle de la mécanique du défaut
    • Francfort G.A., and Marigo J.-J. Une approche variationnelle de la mécanique du défaut. ESAIM: Proc. 6 (1998) 57-74
    • (1998) ESAIM: Proc. , vol.6 , pp. 57-74
    • Francfort, G.A.1    Marigo, J.-J.2
  • 17
    • 0016349897 scopus 로고
    • Brittle fracture of solids with arbitrary cracks
    • Gol'dstein R.V., and Salganik R.L. Brittle fracture of solids with arbitrary cracks. Int. J. Fract. 10 (1974) 507-523
    • (1974) Int. J. Fract. , vol.10 , pp. 507-523
    • Gol'dstein, R.V.1    Salganik, R.L.2
  • 18
    • 0000357002 scopus 로고
    • The phenomena of rupture and flow in solids
    • Griffith A. The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. London CCXXI-A (1920) 163-198
    • (1920) Philos. Trans. R. Soc. London , vol.CCXXI-A , pp. 163-198
    • Griffith, A.1
  • 19
    • 28844450634 scopus 로고    scopus 로고
    • Crack path prediction in anisotropic brittle materials
    • Hakim V., and Karma A. Crack path prediction in anisotropic brittle materials. Phys. Rev. Lett. 95 23 (2005) 235501
    • (2005) Phys. Rev. Lett. , vol.95 , Issue.23 , pp. 235501
    • Hakim, V.1    Karma, A.2
  • 20
    • 0000602614 scopus 로고
    • Fracture
    • Springer, Berlin
    • Irwin G.R. Fracture. Handbuch der Physik vol. 6 (1958), Springer, Berlin 551-590
    • (1958) Handbuch der Physik , vol.6 , pp. 551-590
    • Irwin, G.R.1
  • 21
    • 1642420480 scopus 로고    scopus 로고
    • Approche globale, minima relatifs et Critère d'Amorçage en Mécanique de la Rupture
    • Laverne J., and Marigo J.-J. Approche globale, minima relatifs et Critère d'Amorçage en Mécanique de la Rupture. C. R. Mec. 332 4 (2004) 313-318
    • (2004) C. R. Mec. , vol.332 , Issue.4 , pp. 313-318
    • Laverne, J.1    Marigo, J.-J.2
  • 22
    • 66049141597 scopus 로고    scopus 로고
    • Evolution of rate-independent systems
    • Elsevier, North-Holland, Amsterdam
    • Mielke A. Evolution of rate-independent systems. Evolutionary equations, Handbook of Differential Equation vol. II (2005), Elsevier, North-Holland, Amsterdam 461-559
    • (2005) Evolutionary equations, Handbook of Differential Equation , vol.II , pp. 461-559
    • Mielke, A.1
  • 23
    • 0036012128 scopus 로고    scopus 로고
    • A variational formulation of rate-independent phase transformations using an extremum principle
    • Mielke A., Theil F., and Levitas V.I. A variational formulation of rate-independent phase transformations using an extremum principle. Arch. Ration. Mech. Anal. 162 2 (2002) 137-177
    • (2002) Arch. Ration. Mech. Anal. , vol.162 , Issue.2 , pp. 137-177
    • Mielke, A.1    Theil, F.2    Levitas, V.I.3
  • 25
    • 0035479782 scopus 로고    scopus 로고
    • Remarks on a basic law for dynamic crack propagation
    • Oleaga G.E. Remarks on a basic law for dynamic crack propagation. J. Mech. Phys. Solids 49 10 (2001) 2273-2306
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.10 , pp. 2273-2306
    • Oleaga, G.E.1
  • 26
    • 41449101582 scopus 로고    scopus 로고
    • The anti-symmetry principle for quasi-static crack propagation in mode III
    • Oleaga G.E. The anti-symmetry principle for quasi-static crack propagation in mode III. Int. J. Fract. 147 1-4 (2007) 21-33
    • (2007) Int. J. Fract. , vol.147 , Issue.1-4 , pp. 21-33
    • Oleaga, G.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.