메뉴 건너뛰기




Volumn 48, Issue 14-15, 2011, Pages 2177-2183

Characteristics of the process zone at sharp notch roots

Author keywords

Mode mixity; Sharp notches; Small scale yielding; Williams solution

Indexed keywords

ELASTIC PARAMETERS; LOAD MAGNITUDE; MODE MIXITY; NOTCH PROBLEMS; NOTCH STRENGTH; NOTCH-ROOT; PROCESS ZONE; SHARP NOTCHES; SINGULAR SOLUTIONS; SMALL-SCALE YIELDING; SOLID ANGLE; STATE OF STRESS; STRESS INTENSITY; WILLIAMS;

EID: 79955831474     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.03.023     Document Type: Article
Times cited : (45)

References (47)
  • 1
    • 33748807937 scopus 로고    scopus 로고
    • A unified treatment of the mode i fatigue limit of components containing notches or defects
    • B. Atzori, P. Lazzarin, and G. Meneghetti A unified treatment of the mode I fatigue limit of components containing notches or defects International Journal of Fracture 133 1 2005 61 87
    • (2005) International Journal of Fracture , vol.133 , Issue.1 , pp. 61-87
    • Atzori, B.1    Lazzarin, P.2    Meneghetti, G.3
  • 3
    • 78651250930 scopus 로고    scopus 로고
    • third ed. Springer Dordrecht
    • J.R. Barber Elasticity third ed. 2010 Springer Dordrecht
    • (2010) Elasticity
    • Barber, J.R.1
  • 4
    • 67349248161 scopus 로고    scopus 로고
    • Fictitious notch rounding concept applied to sharp V-notches: Evaluation of the microstructural support factor for different failure hypotheses Part II: Microstructural support analysis
    • F. Berto, P. Lazzarin, and D. Radaj Fictitious notch rounding concept applied to sharp V-notches: evaluation of the microstructural support factor for different failure hypotheses Part II: microstructural support analysis Engineering Fracture Mechanics 76 9 2009 1151 1175
    • (2009) Engineering Fracture Mechanics , vol.76 , Issue.9 , pp. 1151-1175
    • Berto, F.1    Lazzarin, P.2    Radaj, D.3
  • 5
    • 79952540590 scopus 로고    scopus 로고
    • Out-of-plane singular stress fields in V-notched plates and welded lap joints induced by in-plane shear load conditions
    • F. Berto, P. Lazzarin, A. Kotousov, and S. Harding Out-of-plane singular stress fields in V-notched plates and welded lap joints induced by in-plane shear load conditions Fatigue & Fracture of Engineering Materials & Structures 34 4 2011 291 304
    • (2011) Fatigue & Fracture of Engineering Materials & Structures , vol.34 , Issue.4 , pp. 291-304
    • Berto, F.1    Lazzarin, P.2    Kotousov, A.3    Harding, S.4
  • 6
    • 78651409470 scopus 로고    scopus 로고
    • The presence of the out-of-plane singular mode induced by plane loading with KII = KI = 0
    • F. Berto, P. Lazzarin, and A. Kotousov the presence of the out-of-plane singular mode induced by plane loading with KII = KI = 0 International Journal of Fracture 167 2011 119 126
    • (2011) International Journal of Fracture , vol.167 , pp. 119-126
    • Berto, F.1    Lazzarin, P.2    Kotousov, A.3
  • 7
    • 85008269051 scopus 로고
    • Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions
    • D.B. Bogy Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions ASME Journal of Applied Mechanics 38 1971 377 386
    • (1971) ASME Journal of Applied Mechanics , vol.38 , pp. 377-386
    • Bogy, D.B.1
  • 8
    • 0015112941 scopus 로고
    • Stress singularities at interface corners in bonded dissimilar isotropic elastic materials
    • D.B. Bogy, and K.C. Wang Stress singularities at interface corners in bonded dissimilar isotropic elastic materials International Journal of Solids and Structures 7 1971 993 1005
    • (1971) International Journal of Solids and Structures , vol.7 , pp. 993-1005
    • Bogy, D.B.1    Wang, K.C.2
  • 9
    • 68149180755 scopus 로고    scopus 로고
    • Generalized fracture toughness for specimens with re-entrant corners: Experiments vs. theoretical predictions
    • A. Carpinteri, P. Cornetti, N. Pugno, and A. Sapora Generalized fracture toughness for specimens with re-entrant corners: experiments vs. theoretical predictions Structural Engineering and Mechanics 32 5 2009 609 620
    • (2009) Structural Engineering and Mechanics , vol.32 , Issue.5 , pp. 609-620
    • Carpinteri, A.1    Cornetti, P.2    Pugno, N.3    Sapora, A.4
  • 11
    • 38549107091 scopus 로고    scopus 로고
    • A finite fracture mechanics approach to structures with sharp V-notches
    • DOI 10.1016/j.engfracmech.2007.04.010, PII S0013794407002184
    • A. Carpinteri, P. Cornetti, N. Pugno, A. Sapora, and D. Taylor A finite fracture mechanics approach to structures with sharp V-notches Engineering Fracture Mechanics 75 7 2008 1736 1752 (Pubitemid 351147039)
    • (2008) Engineering Fracture Mechanics , vol.75 , Issue.7 , pp. 1736-1752
    • Carpinteri, A.1    Cornetti, P.2    Pugno, N.3    Sapora, A.4    Taylor, D.5
  • 12
    • 28244433131 scopus 로고    scopus 로고
    • Numerical evaluation of generalized stress-intensity factors in multi-layered composites
    • DOI 10.1016/j.ijsolstr.2005.06.009, PII S0020768305003227
    • A. Carpinteri, M. Paggi, and N. Pugno Numerical evaluation of generalized stress-intensity factors in multi-layered composites International Journal of Solids and Structures 43 3-4 2006 627 641 (Pubitemid 41705844)
    • (2006) International Journal of Solids and Structures , vol.43 , Issue.3-4 , pp. 627-641
    • Carpinteri, A.1    Paggi, M.2    Pugno, N.3
  • 13
    • 33745662202 scopus 로고    scopus 로고
    • Finite fracture mechanics: A coupled stress and energy failure criterion
    • DOI 10.1016/j.engfracmech.2006.03.010, PII S0013794406001160
    • P. Cornetti, N. Pugno, A. Carpinteri, and D. Taylor Finite fracture mechanics: a coupled stress and energy failure criterion Engineering Fracture Mechanics 73 14 2006 2021 2033 (Pubitemid 43971240)
    • (2006) Engineering Fracture Mechanics , vol.73 , Issue.14 , pp. 2021-2033
    • Cornetti, P.1    Pugno, N.2    Carpinteri, A.3    Taylor, D.4
  • 14
    • 73449120361 scopus 로고    scopus 로고
    • An asymptotic matching approach to shallow-notched structural elements
    • P. Cornetti, D. Taylor, and A. Carpinteri An asymptotic matching approach to shallow-notched structural elements Engineering Fracture Mechanics 77 2 2010 348 358
    • (2010) Engineering Fracture Mechanics , vol.77 , Issue.2 , pp. 348-358
    • Cornetti, P.1    Taylor, D.2    Carpinteri, A.3
  • 15
    • 84971186682 scopus 로고
    • General edge asymptotics of solutions of second order elliptic boundary value problems I, II
    • M. Costabel, and M. Dauge General edge asymptotics of solutions of second order elliptic boundary value problems I, II Proceedings of Royal Society of Edinburgh 123A 1993 109 155
    • (1993) Proceedings of Royal Society of Edinburgh , vol.123 , pp. 109-155
    • Costabel, M.1    Dauge, M.2
  • 16
    • 0002534607 scopus 로고
    • Boundary Value Problems and Integral Equations in Nonsmooth Domains
    • Marcel Dekker, Inc., New York
    • Costabel, M., Dauge, M., Nicaise, S. (Eds.), 1994. Boundary Value Problems and Integral Equations in Nonsmooth Domains. Lecture Notes in Pure and Applied Mathematics, vol. 167. Marcel Dekker, Inc., New York.
    • (1994) Lecture Notes in Pure and Applied Mathematics , vol.167
    • Costabel, M.1    Dauge, M.2    Nicaise, S.3
  • 17
    • 0003074690 scopus 로고
    • Elliptic boundary value problems in corner domains - Smoothness and asymptotics of solutions
    • Springer-Verlag Berlin
    • M. Dauge Elliptic boundary value problems in corner domains - smoothness and asymptotics of solutions Lecture Notes in Mathematics vol. 1341 1988 Springer-Verlag Berlin
    • (1988) Lecture Notes in Mathematics , vol.1341
    • Dauge, M.1
  • 19
    • 12544256143 scopus 로고    scopus 로고
    • Asymptotic characterisation of nearly-sharp notch root stress fields
    • DOI 10.1007/s10704-004-2510-x
    • D. Dini, and D.A. Hills Asymptotic characterisation of nearly-sharp notch root stress fields International Journal of Fracture 130 3 2004 651 666 (Pubitemid 40152021)
    • (2004) International Journal of Fracture , vol.130 , Issue.3 , pp. 651-666
    • Dini, D.1    Hills, D.A.2
  • 22
    • 0003312557 scopus 로고
    • Singularities in Boundary Value Problems
    • Masson, Paris.
    • Grisvard. P., 1992. Singularities in Boundary Value Problems. RMA 22. Masson, Paris.
    • (1992) RMA , vol.22
    • Grisvard, P.1
  • 24
    • 84956068383 scopus 로고
    • Boundary-value problems for partial differential equations in non-smooth domains
    • V.A. Kondrat'ev, and O.A. Oleinik Boundary-value problems for partial differential equations in non-smooth domains Russian Mathematics Surveys 38 1983 1 86
    • (1983) Russian Mathematics Surveys , vol.38 , pp. 1-86
    • Kondrat'Ev, V.A.1    Oleinik, O.A.2
  • 25
    • 77955231821 scopus 로고    scopus 로고
    • Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates
    • A. Kotousov Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates International Journal of Solids and Structures 47 2010 1916 1923
    • (2010) International Journal of Solids and Structures , vol.47 , pp. 1916-1923
    • Kotousov, A.1
  • 26
    • 0032216350 scopus 로고    scopus 로고
    • Calculation of stress intensities at sharp notches in anisotropic media
    • DOI 10.1016/S0013-7944(98)00039-3, PII S0013794498000393
    • P.E.W. Labossiere, and M.L. Dunn Calculation of stress intensities at sharp notches in anisotropic media Engineering Fracture Mechanics 61 5-6 1998 635 654 (Pubitemid 29099481)
    • (1998) Engineering Fracture Mechanics , vol.61 , Issue.5-6 , pp. 635-654
    • Labossiere, P.E.W.1    Dunn, M.L.2
  • 27
    • 0033115616 scopus 로고    scopus 로고
    • Stress intensities at interface corners in anisotropic bimaterials
    • P.E.W. Labossiere, and M.L. Dunn Stress intensities at interface corners in anisotropic bimaterials Engineering Fracture Mechanics 62 6 1999 555 575
    • (1999) Engineering Fracture Mechanics , vol.62 , Issue.6 , pp. 555-575
    • Labossiere, P.E.W.1    Dunn, M.L.2
  • 28
    • 33644858739 scopus 로고    scopus 로고
    • A generalized stress intensity factor to be applied to rounded V-shaped notches
    • DOI 10.1016/j.ijsolstr.2005.03.007, PII S0020768305001186
    • P. Lazzarin, and S. Filippi A generalized stress intensity factor to be applied to rounded V-shaped notches International Journal of Solids and Structures 43 9 2006 2461 2478 (Pubitemid 43374672)
    • (2006) International Journal of Solids and Structures , vol.43 , Issue.9 , pp. 2461-2478
    • Lazzarin, P.1    Filippi, S.2
  • 29
    • 0346194137 scopus 로고
    • Computation of Singular Solutions in Elliptic Problems and Elasticity
    • Masson, Paris
    • Leguillon, D., Sanchez-Palencia, E., 1987. Computation of Singular Solutions in Elliptic Problems and Elasticity. RMA 5. Masson, Paris.
    • (1987) RMA , vol.5
    • Leguillon, D.1    Sanchez-Palencia, E.2
  • 30
    • 0035087904 scopus 로고    scopus 로고
    • Un critere d'amorçage de fissure en fond d'entaille dans un matériau homogene
    • DOI 10.1016/S1620-7742(01)01302-2
    • D. Leguillon A criterion for crack nucleation at a notch in homogeneous materials Comptes Rendus De L'Academie Des Sciences Serie II Fascicule B-Mecanique 329 2 2001 97 102 (Pubitemid 32239943)
    • (2001) Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique , vol.329 , Issue.2 , pp. 97-102
    • Leguillon, D.1
  • 31
    • 0036129065 scopus 로고    scopus 로고
    • Strength or toughness? A criterion for crack onset at a notch
    • DOI 10.1016/S0997-7538(01)01184-6, PII S0997753801011846
    • D. Leguillon Strength or toughness? A criterion for crack onset at a notch European Journal of Mechanics a-Solids 21 1 2002 61 72 (Pubitemid 34237283)
    • (2002) European Journal of Mechanics, A/Solids , vol.21 , Issue.1 , pp. 61-72
    • Leguillon, D.1
  • 32
    • 0024944156 scopus 로고
    • Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation
    • C.C. Ma, and B.L. Hour Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation International Journal of Solids and Structures 25 11 1989 1295 1309
    • (1989) International Journal of Solids and Structures , vol.25 , Issue.11 , pp. 1295-1309
    • Ma, C.C.1    Hour, B.L.2
  • 33
    • 0025684173 scopus 로고
    • Antiplane problems in composite anisotropic materials with an inclined crack terminating at a bimaterial interface
    • C.C. Ma, and B.L. Hour Antiplane problems in composite anisotropic materials with an inclined crack terminating at a bimaterial interface International Journal of Solids and Structures 26 12 1990 1387 1400
    • (1990) International Journal of Solids and Structures , vol.26 , Issue.12 , pp. 1387-1400
    • Ma, C.C.1    Hour, B.L.2
  • 35
    • 0003290990 scopus 로고
    • Asymptotische Theorie elliptischer Randwertaufgaben in singulär gestörten Gebieten I, II
    • Akademie-Verlag, Berlin
    • Maz'ya, V.G., Nazarov, S.A., Plamenevskii, B.A., 1991. Asymptotische Theorie elliptischer Randwertaufgaben in singulär gestörten Gebieten I, II. Mathematische Monographien, Band 82. Akademie-Verlag, Berlin.
    • (1991) Mathematische Monographien , vol.82
    • Maz'Ya, V.G.1    Nazarov, S.A.2    Plamenevskii, B.A.3
  • 36
    • 58249134712 scopus 로고    scopus 로고
    • On the stress singularities at multimaterial interfaces and related analogies with fluid dynamics and diffusion
    • M. Paggi, and A. Carpinteri On the stress singularities at multimaterial interfaces and related analogies with fluid dynamics and diffusion Applied Mechanics Reviews 61 2 2008
    • (2008) Applied Mechanics Reviews , vol.61 , Issue.2
    • Paggi, M.1    Carpinteri, A.2
  • 37
    • 32644435707 scopus 로고    scopus 로고
    • A method to estimate the influence of the notch-root radius on the fracture toughness measurement of ceramics
    • DOI 10.1016/j.jeurceramsoc.2005.02.016, PII S0955221905003705
    • D. Picard, D. Leguillon, and C. Putot A method to estimate the influence of the notch-root radius on the fracture toughness measurement of ceramics Journal of the European Ceramic Society 26 8 2006 1421 1427 (Pubitemid 43240026)
    • (2006) Journal of the European Ceramic Society , vol.26 , Issue.8 , pp. 1421-1427
    • Picard, D.1    Leguillon, D.2    Putot, C.3
  • 38
    • 48949101586 scopus 로고    scopus 로고
    • Failure initiation at a blunt V-notch tip under mixed mode loading
    • E. Priel, Z. Yosibash, and D. Leguillon Failure initiation at a blunt V-notch tip under mixed mode loading International Journal of Fracture 149 2 2008 143 173
    • (2008) International Journal of Fracture , vol.149 , Issue.2 , pp. 143-173
    • Priel, E.1    Yosibash, Z.2    Leguillon, D.3
  • 39
    • 36749023269 scopus 로고    scopus 로고
    • Fracture of anodic-bonded silicon-thin film glass-silicon triple stacks
    • DOI 10.1016/j.engfracmech.2007.04.030, PII S0013794407002378
    • L.Y. Shang, Z.L. Zhang, and B. Skallerud Fracture of anodic-bonded silicon-thin film glass-silicon triple stacks Engineering Fracture Mechanics 75 5 2008 1064 1082 (Pubitemid 350215356)
    • (2008) Engineering Fracture Mechanics , vol.75 , Issue.5 , pp. 1064-1082
    • Shang, L.Y.1    Zhang, Z.L.2    Skallerud, B.3
  • 40
    • 67349181267 scopus 로고    scopus 로고
    • Comments on the evaluation of the stress intensity factor for a general re-entrant corner in anisotropic bi-materials
    • L.Y. Shang, Z.L. Zhang, and B. Skallerud Comments on the evaluation of the stress intensity factor for a general re-entrant corner in anisotropic bi-materials Engineering Fracture Mechanics 76 9 2009 1373 1379
    • (2009) Engineering Fracture Mechanics , vol.76 , Issue.9 , pp. 1373-1379
    • Shang, L.Y.1    Zhang, Z.L.2    Skallerud, B.3
  • 41
    • 58249135329 scopus 로고    scopus 로고
    • Evaluation of fracture mechanics parameters for free edges in multi-layered structures with weak singularities
    • L.Y. Shang, Z.L. Zhang, and B. Skallerud Evaluation of fracture mechanics parameters for free edges in multi-layered structures with weak singularities International Journal of Solids and Structures 46 5 2009 1134 1148
    • (2009) International Journal of Solids and Structures , vol.46 , Issue.5 , pp. 1134-1148
    • Shang, L.Y.1    Zhang, Z.L.2    Skallerud, B.3
  • 42
    • 19944411851 scopus 로고    scopus 로고
    • Stress singularities in classical elasticity-I: Removal, interpretation, and analysis
    • DOI 10.1115/1.1762503
    • G.B. Sinclair Stress singularities in classical elasticity-I: removal, interpretation, and analysis Applied Mechanics Reviews 57 2004 251 297 (Pubitemid 40748669)
    • (2004) Applied Mechanics Reviews , vol.57 , Issue.1-6 , pp. 251-297
    • Sinclair, G.B.1
  • 43
    • 19944417291 scopus 로고    scopus 로고
    • Stress singularities in classical elasticity - II: Asymptotic identification
    • DOI 10.1115/1.1767846
    • G.B. Sinclair Stress singularities in classical elasticity-II: asymptotic identification Applied Mechanics Reviews 57 2004 385 439 (Pubitemid 40748671)
    • (2004) Applied Mechanics Reviews , vol.57 , Issue.1-6 , pp. 385-439
    • Sinclair, G.B.1
  • 45
    • 36248983757 scopus 로고    scopus 로고
    • The theory of critical distances to predict static strength of notched brittle components subjected to mixed-mode loading
    • DOI 10.1016/j.engfracmech.2007.03.035, PII S0013794407001646, International Conference in Crack Paths
    • L. Susmel, and D. Taylor The theory of critical distances to predict static strength of notched brittle components subjected to mixed-mode loading Engineering Fracture Mechanics 75 3-4 2008 534 550 (Pubitemid 350131430)
    • (2008) Engineering Fracture Mechanics , vol.75 , Issue.3-4 , pp. 534-550
    • Susmel, L.1    Taylor, D.2
  • 46
    • 38549126725 scopus 로고    scopus 로고
    • The theory of critical distances
    • DOI 10.1016/j.engfracmech.2007.04.007, PII S0013794407002172
    • D. Taylor The theory of critical distances Engineering Fracture Mechanics 75 7 2008 1696 1705 (Pubitemid 351147038)
    • (2008) Engineering Fracture Mechanics , vol.75 , Issue.7 , pp. 1696-1705
    • Taylor, D.1
  • 47
    • 85124701057 scopus 로고
    • Stress singularities resulting from various boundary conditions in angular corners of plate in extension
    • M.L. Williams Stress singularities resulting from various boundary conditions in angular corners of plate in extension ASME Journal of Applied Mechanics 19 1952 526 528
    • (1952) ASME Journal of Applied Mechanics , vol.19 , pp. 526-528
    • Williams, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.