메뉴 건너뛰기




Volumn 113, Issue 1, 2013, Pages 55-74

From gradient damage laws to griffith's theory of crack propagation

Author keywords

Damage; Fracture; Gradient model; Path integral; Variational methods

Indexed keywords

DAMAGE; GRADIENT MODEL; GRADIENT OF DAMAGE; PATH INTEGRAL; SEPARATION OF SCALE; STABILITY CONDITION; VARIATIONAL FORMULATION; VARIATIONAL METHODS;

EID: 84881312428     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-012-9410-5     Document Type: Article
Times cited : (72)

References (17)
  • 3
    • 35648980407 scopus 로고    scopus 로고
    • Numerical implementation of the variational formulation for quasi-static brittle fracture
    • 2341850 1130.74040 10.4171/IFB/171
    • Bourdin, B.: Numerical implementation of the variational formulation for quasi-static brittle fracture. Interfaces Free Bound. 9, 411-430 (2007)
    • (2007) Interfaces Free Bound. , vol.9 , pp. 411-430
    • Bourdin, B.1
  • 4
    • 84861146076 scopus 로고    scopus 로고
    • The variational formulation of brittle fracture: Numerical implementation and extensions
    • A. Combescure R. DeBorst T. Belytschko (eds) IUTAM Bookseries 5 Springer Berlin 10.1007/978-1-4020-6530-9-22
    • Bourdin, B.: The variational formulation of brittle fracture: numerical implementation and extensions. In: Combescure, A., DeBorst, R., Belytschko, T. (eds.) IUTAM Symposium on Discretization Methods for Evolving Discontinuities. IUTAM Bookseries, vol. 5, pp. 381-393. Springer, Berlin (2007)
    • (2007) IUTAM Symposium on Discretization Methods for Evolving Discontinuities , pp. 381-393
    • Bourdin, B.1
  • 5
    • 41549084999 scopus 로고    scopus 로고
    • The variational approach to fracture
    • 2390547 1176.74018 10.1007/s10659-007-9107-3
    • Bourdin, B., Francfort, G.-A., Marigo, J.-J.: The variational approach to fracture. J. Elast. 91, 5-148 (2008)
    • (2008) J. Elast. , vol.91 , pp. 5-148
    • Bourdin, B.1    Francfort, G.-A.2    Marigo, J.-J.3
  • 6
    • 0004316217 scopus 로고    scopus 로고
    • Oxford Lecture Series in Mathematics and Its Applications 22 Oxford University Press Oxford 1198.49001 10.1093/acprof:oso/9780198507840.001.0001
    • Braides, A.: Γ-Convergence for Beginners. Oxford Lecture Series in Mathematics and Its Applications, vol. 22. Oxford University Press, Oxford (2002)
    • (2002) Γ-Convergence for Beginners
    • Braides, A.1
  • 7
    • 0032647139 scopus 로고    scopus 로고
    • Computational modelling of gradient-enhanced damage in quasi-brittle materials
    • 10.1002/(SICI)1099-1484(199901)4:1<17: AID-CFM55>3.0.CO;2-6
    • Comi, C.: Computational modelling of gradient-enhanced damage in quasi-brittle materials. Mech. Cohes.-Frict. Mater. 4(1), 17-36 (1999)
    • (1999) Mech. Cohes.-Frict. Mater. , vol.4 , Issue.1 , pp. 17-36
    • Comi, C.1
  • 8
    • 68549096113 scopus 로고    scopus 로고
    • Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case
    • 2542574 1168.49041 10.1051/cocv:2008041
    • Francfort, G.A., Le, N.Q., Serfaty, S.: Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case. ESAIM Control Optim. Calc. Var. 15(3), 576-598 (2009)
    • (2009) ESAIM Control Optim. Calc. Var. , vol.15 , Issue.3 , pp. 576-598
    • Francfort, G.A.1    Le, N.Q.2    Serfaty, S.3
  • 11
    • 84881314568 scopus 로고    scopus 로고
    • Collection études en mécanique des matériaux et des structures Editions Lavoisier Paris
    • Leblond, J.-B.: Mécanique de la rupture fragile et ductile. Collection études en mécanique des matériaux et des structures. Editions Lavoisier, Paris (2000)
    • (2000) Mécanique de la Rupture Fragile et Ductile
    • Leblond, J.-B.1
  • 12
    • 0032684607 scopus 로고    scopus 로고
    • A variational formulation for nonlocal damage models
    • 1024.74005 10.1016/S0749-6419(98)00057-6
    • Lorentz, E., Andrieux, S.: A variational formulation for nonlocal damage models. Int. J. Plast. 15, 119-138 (1999)
    • (1999) Int. J. Plast. , vol.15 , pp. 119-138
    • Lorentz, E.1    Andrieux, S.2
  • 13
    • 77955050544 scopus 로고    scopus 로고
    • Approche variationnelle de l'endommagement: I. les concepts fondamentaux
    • 05934030 10.1016/j.crme.2010.03.009
    • Pham, K., Marigo, J.-J.: Approche variationnelle de l'endommagement: I. Les concepts fondamentaux. C. R., Méc. 338(4), 191-198 (2010)
    • (2010) C. R., Méc. , vol.338 , Issue.4 , pp. 191-198
    • Pham, K.1    Marigo, J.-J.2
  • 14
    • 77955058726 scopus 로고    scopus 로고
    • Approche variationnelle de l'endommagement: II. les modèles à gradient
    • 05934031
    • Pham, K., Marigo, J.-J.: Approche variationnelle de l'endommagement: II. Les modèles à gradient. C. R., Méc. 338(4), 199-206 (2010)
    • (2010) C. R., Méc. , vol.338 , Issue.4 , pp. 199-206
    • Pham, K.1    Marigo, J.-J.2
  • 15
    • 84878218341 scopus 로고    scopus 로고
    • From the onset of damage up to the rupture: Construction of the responses with damage localization for a general class of gradient damage models
    • 10.1007/s00161-011-0228-3
    • Pham, K., Marigo, J.-J.: From the onset of damage up to the rupture: construction of the responses with damage localization for a general class of gradient damage models. Contin. Mech. Thermodyn. (2011). doi: 10.1007/s00161-011-0228-3
    • (2011) Contin. Mech. Thermodyn.
    • Pham, K.1    Marigo, J.-J.2
  • 16
    • 84871665172 scopus 로고    scopus 로고
    • Stability of homogeneous states with gradient damage models: Size effects and shape effects in the three-dimensional setting
    • 10.1007/s10659-012-9382-5
    • Pham, K., Marigo, J.-J.: Stability of homogeneous states with gradient damage models: size effects and shape effects in the three-dimensional setting. J. Elast. (2012). doi: 10.1007/s10659-012-9382-5
    • (2012) J. Elast.
    • Pham, K.1    Marigo, J.-J.2
  • 17
    • 79955641249 scopus 로고    scopus 로고
    • The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models
    • 2830352 2011JMPSo.59.1163P 10.1016/j.jmps.2011.03.010
    • Pham, K., Marigo, J.-J., Maurini, C.: The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models. J. Mech. Phys. Solids 59(6), 1163-1190 (2011)
    • (2011) J. Mech. Phys. Solids , vol.59 , Issue.6 , pp. 1163-1190
    • Pham, K.1    Marigo, J.-J.2    Maurini, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.