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Volumn 47, Issue 5, 2006, Pages 714-723

Use of the energy criterion of fracture to determine the shape of a slightly curved crack

Author keywords

Asymptotic analysis; Local and global Griffith fracture criteria; Slightly curved crack

Indexed keywords


EID: 33748573246     PISSN: 00218944     EISSN: 15738620     Source Type: Journal    
DOI: 10.1007/s10808-006-0108-y     Document Type: Article
Times cited : (5)

References (21)
  • 1
    • 8644220673 scopus 로고    scopus 로고
    • "Crack growth direction according to Novozhilov's criterion"
    • S. A. Nazarov, "Crack growth direction according to Novozhilov's criterion," Dokl. Ross. Akad. Nauk, 396, No. 5, 620-623 (2004).
    • (2004) Dokl. Ross. Akad. Nauk , vol.396 , Issue.5 , pp. 620-623
    • Nazarov, S.A.1
  • 2
    • 23844453718 scopus 로고    scopus 로고
    • "Stress intensity factors and crack deviation conditions in a brittle anisotropic solid"
    • S. A. Nazarov, "Stress intensity factors and crack deviation conditions in a brittle anisotropic solid," J. Appl. Mech. Tech. Phys., 46, No. 3, 386-394 (2005).
    • (2005) J. Appl. Mech. Tech. Phys. , vol.46 , Issue.3 , pp. 386-394
    • Nazarov, S.A.1
  • 3
    • 0001574029 scopus 로고    scopus 로고
    • "On errors in the approximation of unbounded solids by bounded solids"
    • S. A. Nazarov and M. Specovius-Neugebauer, "On errors in the approximation of unbounded solids by bounded solids," Prikl. Mat. Mekh., 62, No. 4, 650-663 (1998).
    • (1998) Prikl. Mat. Mekh. , vol.62 , Issue.4 , pp. 650-663
    • Nazarov, S.A.1    Specovius-Neugebauer, M.2
  • 4
    • 0002787469 scopus 로고
    • "On the coefficients in asymptotic representations of solutions of elliptic boundary-value problems in a region with conical points"
    • V. G. Maz'ya and B. A. Plamenevskij, "On the coefficients in asymptotic representations of solutions of elliptic boundary-value problems in a region with conical points," Math. Nachr., 76, 29-60 (1977).
    • (1977) Math. Nachr. , vol.76 , pp. 29-60
    • Maz'ya, V.G.1    Plamenevskij, B.A.2
  • 5
    • 0032065820 scopus 로고    scopus 로고
    • "Crack at a joint between anisotropic solids. The singularity of stresses and invariant integrals"
    • S. A. Nazarov, "Crack at a joint between anisotropic solids. The singularity of stresses and invariant integrals," Prikl. Mat. Mekh., 62, No. 3, 489-502 (1998).
    • (1998) Prikl. Mat. Mekh. , vol.62 , Issue.3 , pp. 489-502
    • Nazarov, S.A.1
  • 6
    • 0014852532 scopus 로고
    • "A novel principle for the computation of stress intensity factor"
    • H. F. Bueckner, "A novel principle for the computation of stress intensity factor," Z. Angew Math. Mech., 50, 529-546 (1976).
    • (1976) Z. Angew Math. Mech. , vol.50 , pp. 529-546
    • Bueckner, H.F.1
  • 8
    • 84867334440 scopus 로고
    • "On the stress-strain state in the vicinity of a crack bearing against a grain"
    • in: (collected scienti.c papers) [in Russian] Izd. Leningrad. Univ., Leningrad
    • N. F. Morozov and S. A. Nazarov, "On the stress-strain state in the vicinity of a crack bearing against a grain," in: Studies of Elasticity and Plasticity (collected scienti.c papers) [in Russian], No. 13, Izd. Leningrad. Univ., Leningrad (1980), pp. 141-148.
    • (1980) Studies of Elasticity and Plasticity , Issue.13 , pp. 141-148
    • Morozov, N.F.1    Nazarov, S.A.2
  • 9
    • 0002557763 scopus 로고    scopus 로고
    • "Fracture criteria, asymptotic conditions at crack tips, and self-conjugate expansions of the Lamé operator"
    • S. A. Nazarov and O. R. Polyakova, "Fracture criteria, asymptotic conditions at crack tips, and self-conjugate expansions of the Lamé operator," Tr. Mosk. Mat. Obshch., 57, 16-75 (1996).
    • (1996) Tr. Mosk. Mat. Obshch. , vol.57 , pp. 16-75
    • Nazarov, S.A.1    Polyakova, O.R.2
  • 10
    • 0001928072 scopus 로고    scopus 로고
    • "Damage tensor and measures. 1. Asymptotic analysis of an anisotropic medium with defects"
    • S. A. Nazarov, "Damage tensor and measures. 1. Asymptotic analysis of an anisotropic medium with defects," Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 3, 113-124 (2000).
    • (2000) Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela , Issue.3 , pp. 113-124
    • Nazarov, S.A.1
  • 11
    • 0036409651 scopus 로고    scopus 로고
    • "Energy release due to crack kink in a planar anisotropic solid"
    • I. I. Argatov and S. A. Nazarov, "Energy release due to crack kink in a planar anisotropic solid, " Prikl. Mat. Mekh., 66, No. 3, 502-514 (2002).
    • (2002) Prikl. Mat. Mekh. , vol.66 , Issue.3 , pp. 502-514
    • Argatov, I.I.1    Nazarov, S.A.2
  • 12
    • 0001759499 scopus 로고
    • "Determining the shape of a curvilinear crack using the small parameter method"
    • N. V. Banichuk "Determining the shape of a curvilinear crack using the small parameter method," Izv. Akad. Nauk. SSSR, Mekh. Tverd. Tela, 2, 130-137 (1970).
    • (1970) Izv. Akad. Nauk. SSSR, Mekh. Tverd. Tela , vol.2 , pp. 130-137
    • Banichuk, N.V.1
  • 13
    • 33745451119 scopus 로고
    • "Slightly curved or kinked cracks"
    • B. Cotterell and J. R. Rice, "Slightly curved or kinked cracks," Int. J. Fracture, 16, 155-169 (1980).
    • (1980) Int. J. Fracture , vol.16 , pp. 155-169
    • Cotterell, B.1    Rice, J.R.2
  • 14
    • 23844540286 scopus 로고    scopus 로고
    • "Path curving during quasistatic crack growth in a plane with a small defect"
    • in: (collected scienti.c paper) [in Russian] Izd. St. Petersburg. Univ., St. Petersburg
    • A. B. Movchan, S. A. Nazarov, and O. R. Polyakova, "Path curving during quasistatic crack growth in a plane with a small defect," in: Studies of Elasticity and Plasticity (collected scienti.c paper) [in Russian], No. 18, Izd. St. Petersburg. Univ., St. Petersburg (1999), pp. 142-161.
    • (1999) Studies of Elasticity and Plasticity , Issue.18 , pp. 142-161
    • Movchan, A.B.1    Nazarov, S.A.2    Polyakova, O.R.3
  • 16
    • 0026715730 scopus 로고
    • "Crack path in plane situations. 2. Detailed form of the expansion of the stress intensity factors"
    • M. Amestoy and J. B. Leblond, "Crack path in plane situations. 2. Detailed form of the expansion of the stress intensity factors," Int. J. Solids Struct., 29, No. 4, 465-501 (1992).
    • (1992) Int. J. Solids Struct. , vol.29 , Issue.4 , pp. 465-501
    • Amestoy, M.1    Leblond, J.B.2
  • 17
    • 33748538869 scopus 로고    scopus 로고
    • "Stress-strain state near the vertices of blunt and sharp cones"
    • in: (collected scienti.c papers) [in Russian] Izd. St. Petersburg Univ., St. Petersburg
    • N. V. Movchan and S. A. Nazarov, "Stress-strain state near the vertices of blunt and sharp cones, " in: Applied Mechanics (collected scienti.c papers) [in Russian], No. 10, Izd. St. Petersburg Univ., St. Petersburg (1997), pp. 74-88.
    • (1997) Applied Mechanics , Issue.10 , pp. 74-88
    • Movchan, N.V.1    Nazarov, S.A.2
  • 18
    • 3042836771 scopus 로고
    • "Paradoxes of the limiting transition in solutions of boundary-value problems involving the approximation of smooth domains by polygonal domains"
    • V. G. Maz'ya and S. A. Nazarov, "Paradoxes of the limiting transition in solutions of boundary-value problems involving the approximation of smooth domains by polygonal domains," Izv. Akad. Nauk SSSR, Ser. Mat., 50, No. 6, 1156-1177 (1986).
    • (1986) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.50 , Issue.6 , pp. 1156-1177
    • Maz'ya, V.G.1    Nazarov, S.A.2
  • 19
    • 33748545792 scopus 로고    scopus 로고
    • "Approximation of smooth contours by polygonal contours. Paradoxes in problems for the Lame system"
    • S. A. Nazarov and M. V. Olyushin, "Approximation of smooth contours by polygonal contours. Paradoxes in problems for the Lame system," Izv. Ross. Akad. Nauk, Ser. Mat., 61, No. 3, 159-186 (1997).
    • (1997) Izv. Ross. Akad. Nauk, Ser. Mat. , vol.61 , Issue.3 , pp. 159-186
    • Nazarov, S.A.1    Olyushin, M.V.2
  • 20
    • 0032019796 scopus 로고    scopus 로고
    • "Invariant integrals in the Leonov-Panasyuk-Dugdale model of a crack"
    • S. A. Nazarov, "Invariant integrals in the Leonov-Panasyuk-Dugdale model of a crack," J. Appl. Mech. Tech. Phys., 38, No. 5, 784-791 (1997).
    • (1997) J. Appl. Mech. Tech. Phys. , vol.38 , Issue.5 , pp. 784-791
    • Nazarov, S.A.1
  • 21
    • 0034347984 scopus 로고    scopus 로고
    • "Interaction of cracks in brittle fracture. Force and energy approaches"
    • S. A. Nazarov, "Interaction of cracks in brittle fracture. Force and energy approaches," Prikl. Mat. Mekh., 64, No, 3, 484-496 (2000).
    • (2000) Prikl. Mat. Mekh. , vol.64 , Issue.3 , pp. 484-496
    • Nazarov, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.