메뉴 건너뛰기




Volumn 73, Issue 10, 2006, Pages 1279-1291

Cracks and re-entrant corners in functionally graded materials

Author keywords

Crack; Fracture; Functionally graded material; Re entrant corner; Strength

Indexed keywords

BRITTLENESS; COMPUTER SIMULATION; CRACK PROPAGATION; CRACKS; FINITE ELEMENT METHOD; FRACTURE; STRENGTH OF MATERIALS;

EID: 33748150981     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.01.008     Document Type: Article
Times cited : (62)

References (37)
  • 1
    • 33748137263 scopus 로고    scopus 로고
    • Special issue on fracture of functionally graded materials. Paulino GH (Guest editor), Engng Fract Mech 2002;69:1519-809.
  • 2
    • 0018048395 scopus 로고
    • Steady state crack propagation into media with spatially varying elastic properties
    • Atkinson C., and List R.D. Steady state crack propagation into media with spatially varying elastic properties. Int J Engng Sci 16 (1978) 717-730
    • (1978) Int J Engng Sci , vol.16 , pp. 717-730
    • Atkinson, C.1    List, R.D.2
  • 3
    • 0020816016 scopus 로고
    • The crack problem for a non-homogeneous plane
    • Delale F., and Erdogan F. The crack problem for a non-homogeneous plane. J Appl Mech 50 (1983) 609-614
    • (1983) J Appl Mech , vol.50 , pp. 609-614
    • Delale, F.1    Erdogan, F.2
  • 4
    • 85124701057 scopus 로고
    • Stress singularities resulting from various boundary conditions in angular corners of plates in extension
    • Williams M.L. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech 19 (1952) 526-528
    • (1952) J Appl Mech , vol.19 , pp. 526-528
    • Williams, M.L.1
  • 5
    • 0023349326 scopus 로고
    • Fracture of non-homogeneous materials
    • Eischen J.W. Fracture of non-homogeneous materials. Int J Fract 34 (1987) 3-22
    • (1987) Int J Fract , vol.34 , pp. 3-22
    • Eischen, J.W.1
  • 6
    • 0029215663 scopus 로고
    • Fracture mechanics of functionally graded materials
    • Erdogan F. Fracture mechanics of functionally graded materials. Compos Engng 7 (1995) 753-770
    • (1995) Compos Engng , vol.7 , pp. 753-770
    • Erdogan, F.1
  • 7
    • 0027591833 scopus 로고
    • An internal crack parallel to the boundary of a non-homogeneous half plane under thermal loading
    • Jin Z.H., and Noda N. An internal crack parallel to the boundary of a non-homogeneous half plane under thermal loading. Int J Engng Sci 31 (1993) 793-806
    • (1993) Int J Engng Sci , vol.31 , pp. 793-806
    • Jin, Z.H.1    Noda, N.2
  • 8
    • 0030125732 scopus 로고    scopus 로고
    • Crack problems in FGM layers under thermal stresses
    • Erdogan F., and Wu B.H. Crack problems in FGM layers under thermal stresses. J Therm Stresses 19 (1996) 237-265
    • (1996) J Therm Stresses , vol.19 , pp. 237-265
    • Erdogan, F.1    Wu, B.H.2
  • 9
    • 0030171889 scopus 로고    scopus 로고
    • Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock
    • Jin Z.H., and Batra R.C. Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock. J Therm Stresses 19 (1996) 317-339
    • (1996) J Therm Stresses , vol.19 , pp. 317-339
    • Jin, Z.H.1    Batra, R.C.2
  • 10
    • 0034350378 scopus 로고    scopus 로고
    • Crack problems for functionally graded materials under transient thermal loading
    • Wang B.L., Han J.C., and Du S.Y. Crack problems for functionally graded materials under transient thermal loading. J Therm Stresses 23 (2000) 143-168
    • (2000) J Therm Stresses , vol.23 , pp. 143-168
    • Wang, B.L.1    Han, J.C.2    Du, S.Y.3
  • 11
    • 0035136151 scopus 로고    scopus 로고
    • Transient thermal stress analysis of an edge crack in a functionally graded material
    • Jin Z.H., and Paulino G.H. Transient thermal stress analysis of an edge crack in a functionally graded material. Int J Fract 107 (2001) 73-98
    • (2001) Int J Fract , vol.107 , pp. 73-98
    • Jin, Z.H.1    Paulino, G.H.2
  • 12
    • 0035271214 scopus 로고    scopus 로고
    • Thermally induced fracture of a smart functionally graded composite structure
    • Wang B.L., and Noda N. Thermally induced fracture of a smart functionally graded composite structure. Theor Appl Fract Mech 35 (2001) 93-109
    • (2001) Theor Appl Fract Mech , vol.35 , pp. 93-109
    • Wang, B.L.1    Noda, N.2
  • 13
    • 0031187188 scopus 로고    scopus 로고
    • Mode I crack problem in an inhomogeneous orthotropic medium
    • Ozturk M., and Erdogan F. Mode I crack problem in an inhomogeneous orthotropic medium. Int J Engng Sci 35 (1997) 869-883
    • (1997) Int J Engng Sci , vol.35 , pp. 869-883
    • Ozturk, M.1    Erdogan, F.2
  • 14
    • 0033319934 scopus 로고    scopus 로고
    • The mixed mode crack problem in an inhomogeneous orthotropic medium
    • Ozturk M., and Erdogan F. The mixed mode crack problem in an inhomogeneous orthotropic medium. Int J Fract 98 (1999) 243-261
    • (1999) Int J Fract , vol.98 , pp. 243-261
    • Ozturk, M.1    Erdogan, F.2
  • 15
    • 0032128863 scopus 로고    scopus 로고
    • Dynamic response of a crack in a functionally graded material between two dissimilar half-planes under anti-plane shear impact load
    • Babaei R., and Lukasiewicz S.A. Dynamic response of a crack in a functionally graded material between two dissimilar half-planes under anti-plane shear impact load. Engng Fract Mech 60 (1998) 479-487
    • (1998) Engng Fract Mech , vol.60 , pp. 479-487
    • Babaei, R.1    Lukasiewicz, S.A.2
  • 16
    • 0032120030 scopus 로고    scopus 로고
    • Dynamic fracture of a functionally gradient material having discrete property variation
    • Parameswaran V., and Shukla A. Dynamic fracture of a functionally gradient material having discrete property variation. J Mater Sci 33 (1998) 3303-3311
    • (1998) J Mater Sci , vol.33 , pp. 3303-3311
    • Parameswaran, V.1    Shukla, A.2
  • 17
    • 0007960983 scopus 로고
    • Effect of size on the strength of structures
    • Leicester R.H. Effect of size on the strength of structures. CSIRO Div Building Res 71 (1973)
    • (1973) CSIRO Div Building Res , vol.71
    • Leicester, R.H.1
  • 18
    • 23644442072 scopus 로고
    • Linear fracture mechanics solutions for zero and right angle notches
    • Walsh P.F. Linear fracture mechanics solutions for zero and right angle notches. CSIRO Div Building Res 2 (1974)
    • (1974) CSIRO Div Building Res , vol.2
    • Walsh, P.F.1
  • 19
    • 0016926840 scopus 로고
    • Crack initiation in plain concrete
    • Walsh P.F. Crack initiation in plain concrete. Mag Concrete Res 28 (1976) 37-41
    • (1976) Mag Concrete Res , vol.28 , pp. 37-41
    • Walsh, P.F.1
  • 20
    • 0021627725 scopus 로고
    • On the stress concentration at sharp re-entrant corners in plates
    • Sinclair G.B., and Kondo M. On the stress concentration at sharp re-entrant corners in plates. Int J Mech Sci 26 (1984) 477-487
    • (1984) Int J Mech Sci , vol.26 , pp. 477-487
    • Sinclair, G.B.1    Kondo, M.2
  • 21
    • 0021522003 scopus 로고
    • Mode I and Mode II stress intensities for plates with cracks of finite opening
    • Carpenter W.C. Mode I and Mode II stress intensities for plates with cracks of finite opening. Int J Fract 26 (1984) 201-214
    • (1984) Int J Fract , vol.26 , pp. 201-214
    • Carpenter, W.C.1
  • 22
    • 0023089554 scopus 로고
    • Stress-singularity and generalized fracture toughness at the vertex of re-entrant corners
    • Carpinteri A. Stress-singularity and generalized fracture toughness at the vertex of re-entrant corners. Engng Fract Mech 26 (1987) 143-155
    • (1987) Engng Fract Mech , vol.26 , pp. 143-155
    • Carpinteri, A.1
  • 23
    • 0031254477 scopus 로고    scopus 로고
    • Fracture initiation at sharp notches: correlation using critical stress intensities
    • Dunn M.L., Suwito W., and Cunningham S. Fracture initiation at sharp notches: correlation using critical stress intensities. Int J Solids Struct 34 (1997) 3873-3883
    • (1997) Int J Solids Struct , vol.34 , pp. 3873-3883
    • Dunn, M.L.1    Suwito, W.2    Cunningham, S.3
  • 24
    • 0030284771 scopus 로고    scopus 로고
    • Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions
    • Seweryn A., and Molsky K. Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions. Engng Fract Mech 55 (1996) 529-556
    • (1996) Engng Fract Mech , vol.55 , pp. 529-556
    • Seweryn, A.1    Molsky, K.2
  • 25
    • 0001907178 scopus 로고    scopus 로고
    • A unified approach to the evaluation of linear elastic stress fields in the neighbohrood of cracks and notches
    • Lazzarin P., and Tovo R. A unified approach to the evaluation of linear elastic stress fields in the neighbohrood of cracks and notches. Int J Fract 78 (1996) 3-19
    • (1996) Int J Fract , vol.78 , pp. 3-19
    • Lazzarin, P.1    Tovo, R.2
  • 26
    • 0012955195 scopus 로고    scopus 로고
    • Analysis of newly-defined stress intensity factors for angular corners using singular integral equations of the body force method
    • Noda N.A., Oda K., and Inoue T. Analysis of newly-defined stress intensity factors for angular corners using singular integral equations of the body force method. Int J Fract 76 (1997) 243-261
    • (1997) Int J Fract , vol.76 , pp. 243-261
    • Noda, N.A.1    Oda, K.2    Inoue, T.3
  • 27
    • 0028385047 scopus 로고
    • Brittle fracture criterion for structures with sharp notches
    • Seweryn A. Brittle fracture criterion for structures with sharp notches. Engng Fract Mech 47 (1994) 673-681
    • (1994) Engng Fract Mech , vol.47 , pp. 673-681
    • Seweryn, A.1
  • 28
    • 0014482467 scopus 로고
    • On a necessary and sufficient criterion for brittle strength
    • Novozhilov V. On a necessary and sufficient criterion for brittle strength. Prik Mat Mek 33 (1969) 212-222
    • (1969) Prik Mat Mek , vol.33 , pp. 212-222
    • Novozhilov, V.1
  • 30
    • 4544308888 scopus 로고    scopus 로고
    • Quantized fracture mechanics
    • Pugno N., and Ruoff R. Quantized fracture mechanics. Philos Mag 84/27 (2004) 2829-2845
    • (2004) Philos Mag , vol.84 , Issue.27 , pp. 2829-2845
    • Pugno, N.1    Ruoff, R.2
  • 31
    • 33748153646 scopus 로고    scopus 로고
    • Carpinteri A., Pugno N. Structural elements with re-entrant corners. In: Proc XV Italian conf on frac, 3-5 May 2000, Bari, Italy; 2000. p. 391-98.
  • 32
    • 13844266317 scopus 로고    scopus 로고
    • Fracture instability and limit strength condition in structures with re-entrant corners
    • Carpinteri A., and Pugno N. Fracture instability and limit strength condition in structures with re-entrant corners. Engng Fract Mech 72 (2005) 1254-1267
    • (2005) Engng Fract Mech , vol.72 , pp. 1254-1267
    • Carpinteri, A.1    Pugno, N.2
  • 33
    • 33748135953 scopus 로고    scopus 로고
    • Carpinteri A. Structural mechanics: a unified approach, E&FN Spon; 1997.
  • 34
    • 20144377847 scopus 로고    scopus 로고
    • Are the scaling laws on strength of solids related to mechanics or to geometry?
    • Carpinteri A., and Pugno N. Are the scaling laws on strength of solids related to mechanics or to geometry?. Nature Mater June (2005) 421-423
    • (2005) Nature Mater , Issue.June , pp. 421-423
    • Carpinteri, A.1    Pugno, N.2
  • 35
    • 0029378852 scopus 로고
    • Evaluation of stress intensity factors for a crack normal to bimaterial interface using isoparametric finite elements
    • Lim W., and Lee C. Evaluation of stress intensity factors for a crack normal to bimaterial interface using isoparametric finite elements. Engng Fract Mech 52 (1995) 65-70
    • (1995) Engng Fract Mech , vol.52 , pp. 65-70
    • Lim, W.1    Lee, C.2
  • 36
    • 33748157813 scopus 로고    scopus 로고
    • Wawrzynek PA, Ingraffea AR. Discrete modeling of crack propagation: theoretical aspects and implementation issues in two and three dimensions. Report 91-5, School of Civil and Environmental Engineering, Cornell University; 1991.
  • 37
    • 28244433131 scopus 로고    scopus 로고
    • Cracks and re-entrant corners in multi-layered elements
    • Carpinteri A., Paggi M., and Pugno N. Cracks and re-entrant corners in multi-layered elements. Int J Solid Struct 43 (2006) 627-641
    • (2006) Int J Solid Struct , vol.43 , pp. 627-641
    • Carpinteri, A.1    Paggi, M.2    Pugno, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.