메뉴 건너뛰기




Volumn 47, Issue 5, 2006, Pages 704-713

Optimization formulation of the evolutionary problem of crack propagation under quasibrittle fracture

Author keywords

Crack; Non penetration condition; Optimization problem; Quasi brittle fracture; Variational problem with a constraint

Indexed keywords


EID: 33748560077     PISSN: 00218944     EISSN: 15738620     Source Type: Journal    
DOI: 10.1007/s10808-006-0107-z     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0000556292 scopus 로고
    • "Propagation of small cracks in a solid"
    • M. Ya. Leonov and V. V. Panasyuk, "Propagation of small cracks in a solid," Prikl. Mekh., 5, No. 4, 797-812 (1959).
    • (1959) Prikl. Mekh. , vol.5 , Issue.4 , pp. 797-812
    • Leonov, M.Ya.1    Panasyuk, V.V.2
  • 2
    • 50549180512 scopus 로고
    • "Yielding steel sheets containing slits"
    • D. S. Dugdale, "Yielding steel sheets containing slits," J. Mech. Phys. Solids, 23, 100-104 (1960).
    • (1960) J. Mech. Phys. Solids , vol.23 , pp. 100-104
    • Dugdale, D.S.1
  • 3
    • 1842432281 scopus 로고
    • "On some general concepts of the mathematical theory of brittle fracture"
    • G. I. Barenblatt, "On some general concepts of the mathematical theory of brittle fracture," Prikl. Mat. Mekh., 28, No. 4, 630-643 (1964).
    • (1964) Prikl. Mat. Mekh. , vol.28 , Issue.4 , pp. 630-643
    • Barenblatt, G.I.1
  • 4
    • 0014562779 scopus 로고
    • "On the foundations of the theory of equilibrium cracks in elastic bodies"
    • V. V. Novozhilov, "On the foundations of the theory of equilibrium cracks in elastic bodies," Prikl. Mat. Mekh., 33, No. 5, 797-812 (1969).
    • (1969) Prikl. Mat. Mekh. , vol.33 , Issue.5 , pp. 797-812
    • Novozhilov, V.V.1
  • 8
    • 0346497700 scopus 로고    scopus 로고
    • "The evolution of the stress-strain fields near a fatigue crack tip and plasticity-induced crack closure revisited"
    • L. G. Zhao, J. Tong, and J. Byrne, "The evolution of the stress-strain fields near a fatigue crack tip and plasticity-induced crack closure revisited," Fatigue Fract. Eng. Mater. Struc., 27, 19-29 (2004).
    • (2004) Fatigue Fract. Eng. Mater. Struc. , vol.27 , pp. 19-29
    • Zhao, L.G.1    Tong, J.2    Byrne, J.3
  • 9
    • 2942525310 scopus 로고    scopus 로고
    • "Initiation and propagation of fracture in the models of Griffith and Barenblatt"
    • J.-J. Marigo and L. Truskinovsky, "Initiation and propagation of fracture in the models of Griffith and Barenblatt," Continuum Mech. Thermodyn., 16, 391-409 (2004).
    • (2004) Continuum Mech. Thermodyn. , vol.16 , pp. 391-409
    • Marigo, J.-J.1    Truskinovsky, L.2
  • 10
    • 0034337080 scopus 로고    scopus 로고
    • "Differentiation of energy functionals in crack theory with possible contact of sides"
    • J. Sokolowski and A. M. Khludnev, "Differentiation of energy functionals in crack theory with possible contact of sides," Dokl. Phys., 45, No. 10, 565-568 (2000).
    • (2000) Dokl. Phys. , vol.45 , Issue.10 , pp. 565-568
    • Sokolowski, J.1    Khludnev, A.M.2
  • 12
    • 17244363448 scopus 로고    scopus 로고
    • "Nonconvex problems for crack with nonpenetration"
    • V. A. Kovtunenko, "Nonconvex problems for crack with nonpenetration," Z. Angew. Math. Mech., 85, No. 4, 242-251 (2005).
    • (2005) Z. Angew. Math. Mech. , vol.85 , Issue.4 , pp. 242-251
    • Kovtunenko, V.A.1
  • 13
    • 0032139947 scopus 로고    scopus 로고
    • "Revisiting brittle fracture as an energy minimization problem"
    • G. A. Francfort and J.-J. Marigo, "Revisiting brittle fracture as an energy minimization problem, " J. Mech. Phys. Solids, 46, No. 8, 1319-1342 (1998).
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.8 , pp. 1319-1342
    • Francfort, G.A.1    Marigo, J.-J.2
  • 14
    • 0036557535 scopus 로고    scopus 로고
    • "A model for the quasistatic growth of brittle fractures: Existence and approximation results"
    • G. Dal Maso and R. Toader, "A model for the quasistatic growth of brittle fractures: Existence and approximation results," Arch. Rational Mech. Anal., 162, 101-135 (2002).
    • (2002) Arch. Rational Mech. Anal. , vol.162 , pp. 101-135
    • Dal Maso, G.1    Toader, R.2
  • 15
    • 33646058587 scopus 로고    scopus 로고
    • "Interface cracks in composite orthotropic materials and their delamination via global shape optimization"
    • V. A. Kovtunenko "Interface cracks in composite orthotropic materials and their delamination via global shape optimization," Optim. Eng., 7, 173-199 (2006).
    • (2006) Optim. Eng. , vol.7 , pp. 173-199
    • Kovtunenko, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.