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Volumn 34, Issue 3, 2000, Pages 253-265

Strain gradient elasticity theory for antiplane shear cracks. Part II: Monotonic displacements

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; CRACK PROPAGATION; ELASTICITY; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; SHEAR STRESS; STRAIN;

EID: 0034324258     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8442(00)00042-2     Document Type: Article
Times cited : (15)

References (29)
  • 1
    • 85120140009 scopus 로고
    • Z. Cosserat F. Cosserat Théorie des Corps Déformables 1909 A. Herman et Fils Paris
    • (1909)
    • Cosserat, Z.1    Cosserat, F.2
  • 2
    • 33644576533 scopus 로고
    • Influence of couple-stresses on stress concentrations
    • R.D. Mindlin Influence of couple-stresses on stress concentrations Experimental Mechanics 3 1963 1 7
    • (1963) Experimental Mechanics , vol.3 , pp. 1-7
    • Mindlin, R.D.1
  • 3
    • 85120140871 scopus 로고    scopus 로고
    • A. Eringen, Theory of micropolar elasticity, in: H. Liebowitz (Ed.), Fracture, An Advanced Treatise, vol. 2, Academic Press, New York, 1968, pp. 621–729
  • 5
    • 0022891455 scopus 로고
    • A gradient approach to localization of deformation. Part I. Hyperelastic materials
    • N. Triantafyllidis E.C. Aifantis A gradient approach to localization of deformation. Part I. Hyperelastic materials Journal of Elasticity 16 1986 225 238
    • (1986) Journal of Elasticity , vol.16 , pp. 225-238
    • Triantafyllidis, N.1    Aifantis, E.C.2
  • 6
    • 85120145667 scopus 로고    scopus 로고
    • H. Zbib, E.C. Aifantis, On the localization and postlocalization behavior of plastic deformation I, II, III, Res Mechanica 23 (1988) 261–277, 279–292, 293–305
  • 7
    • 85120092465 scopus 로고    scopus 로고
    • B.S. Altan, E.C. Aifantis, On Some Aspects in the Special Theory of Gradient Elasticity, preprint, 1992/1997
  • 8
    • 85120128685 scopus 로고    scopus 로고
    • N.A. Fleck, J.W. Hutchinson, Strain gradient plasticity, in: J.W. Hutchinson, T.Y. Wu (Eds.), Advances in Applied Mechanics, vol. 33, Academic Press, New York, 1997, pp. 295–361
  • 9
    • 85120145742 scopus 로고    scopus 로고
    • D. Setzer, An elasto-static couple stress problem: extension of an elastic body containing a finite crack, Ph.D. dissertation, Lehigh University, 1963
  • 10
    • 85120128758 scopus 로고    scopus 로고
    • P.S. Paris, G.C. Sih, Stress analysis of cracks, in: Fracture Toughness Testing and its Applications, ASTM STP 381, Philadelphia, PA, USA, 1964, pp. 30–83
  • 12
    • 0009023836 scopus 로고
    • Effects of couple stresses on stress intensity factor and energy in Griffith crack
    • G.R. Tiwari Effects of couple stresses on stress intensity factor and energy in Griffith crack Journal of Indian Mathematical Society 34 1970 67 77
    • (1970) Journal of Indian Mathematical Society , vol.34 , pp. 67-77
    • Tiwari, G.R.1
  • 13
    • 85120112718 scopus 로고    scopus 로고
    • V.Z. Parton, E.M. Morozov, Elastic-plastic Fracture Mechanics, Mir, Moscow, 1978, pp. 285–294
  • 14
    • 0026473605 scopus 로고
    • On the structure of the mode III crack-tip in gradient elasticity
    • S.B. Altan E.C. Aifantis On the structure of the mode III crack-tip in gradient elasticity Scripta Metallurgica 26 1992 319 324
    • (1992) Scripta Metallurgica , vol.26 , pp. 319-324
    • Altan, S.B.1    Aifantis, E.C.2
  • 15
    • 0002471276 scopus 로고
    • A simple approach to solve boundary-value problems in gradient elasticity
    • C.Q. Ru E.C. Aifantis A simple approach to solve boundary-value problems in gradient elasticity Acta Mechanica 101 1993 59 68
    • (1993) Acta Mechanica , vol.101 , pp. 59-68
    • Ru, C.Q.1    Aifantis, E.C.2
  • 16
    • 0002516837 scopus 로고
    • The asymptotic solution of gradient elasticity for mode III
    • D.J. Unger E.C. Aifantis The asymptotic solution of gradient elasticity for mode III International Journal of Fracture 71 1995 R27 R32
    • (1995) International Journal of Fracture , vol.71 , pp. R27-R32
    • Unger, D.J.1    Aifantis, E.C.2
  • 20
    • 0000521031 scopus 로고    scopus 로고
    • Near-tip fields for cracks in materials with strain gradient effects
    • Y. Huang L. Zhang T.F. Guo K.C. Hwang Near-tip fields for cracks in materials with strain gradient effects J.R. Willis IUTAM Symposium on Nonlinear Analysis of Fracture 1997 Kluwer Academic Publishers Dordrecht 231 243
    • (1997) , pp. 231-243
    • Huang, Y.1    Zhang, L.2    Guo, T.F.3    Hwang, K.C.4
  • 21
    • 85120111901 scopus 로고
    • M.M. Agrest M.S. Maksimov Theory of Incomplete Cylindrical Functions and their Applications 1971 Springer New York
    • (1971)
    • Agrest, M.M.1    Maksimov, M.S.2
  • 22
    • 85120120631 scopus 로고    scopus 로고
    • M. Ambramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, NBS Appl. Mathe. Ser., vol. 55, US Government Printing Office, Washington DC, 1964
  • 23
    • 85120139909 scopus 로고
    • N.N. Lebedev Special Functions and their Applications 1972 Dover New York
    • (1972)
    • Lebedev, N.N.1
  • 24
  • 26
    • 85120145092 scopus 로고    scopus 로고
    • D. Greenspan, Discrete Numerical Methods in Physics and Engineering, Mathematics in Science and Engineering Physics, vol. 107, Academic Press, New York, 1974
  • 27
    • 85120120269 scopus 로고
    • E. Kreyszig Advanced Engineering Mathematics 1965 Wiley New York
    • (1965)
    • Kreyszig, E.1
  • 28
    • 85120147476 scopus 로고    scopus 로고
    • J.W. Dettman, Mathematical Methods in Physics and Engineering, Dover, New York, 1988, pp. 224–235
  • 29
    • 85120147084 scopus 로고    scopus 로고
    • D.J. Unger, E.C. Aifantis, Strain gradient elasticity theory for antiplane shear cracks. Part I: Oscillatory displacements, Theoret. Appl. Fract. Mech. 34 (2000)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.