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Volumn 45, Issue 21, 2008, Pages 5521-5539

An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity

Author keywords

Couple stress elasticity; Cracks; Disclinations; Dislocations; Singular integral equations

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTER NETWORKS; NUMERICAL METHODS;

EID: 51249112990     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.05.012     Document Type: Article
Times cited : (52)

References (56)
  • 1
    • 0010940116 scopus 로고
    • Fundamental equations of the theory of elastic media with rotationally interacting particles. Fizika Tverdogo Tela 2, 1399-1409
    • Aero E.L., and Kuvshinskii E.V. Fundamental equations of the theory of elastic media with rotationally interacting particles. Fizika Tverdogo Tela 2, 1399-1409. Translated in Soviet Physics - Solid State 2 (1960) 1272-1281
    • (1960) Translated in Soviet Physics - Solid State , vol.2 , pp. 1272-1281
    • Aero, E.L.1    Kuvshinskii, E.V.2
  • 2
    • 0033901519 scopus 로고    scopus 로고
    • Effect of couple-stresses on the elastic bending of beams
    • Anthoine A. Effect of couple-stresses on the elastic bending of beams. International Journal of Solids and Structures 37 (2000) 1003-1018
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 1003-1018
    • Anthoine, A.1
  • 4
    • 0141681264 scopus 로고
    • Some calculations of the energy-release rate G for cracks in micropolar and couple-stress elastic media
    • Atkinson C., and Leppington F.G. Some calculations of the energy-release rate G for cracks in micropolar and couple-stress elastic media. International Journal of Fracture 10 (1974) 599-602
    • (1974) International Journal of Fracture , vol.10 , pp. 599-602
    • Atkinson, C.1    Leppington, F.G.2
  • 7
    • 34548294684 scopus 로고    scopus 로고
    • Analytical derivation of Cosserat moduli via homogenization of heterogeneous elastic materials
    • Bigoni D., and Drugan W.J. Analytical derivation of Cosserat moduli via homogenization of heterogeneous elastic materials. ASME Journal of Applied Mechanics 74 (2007) 741-753
    • (2007) ASME Journal of Applied Mechanics , vol.74 , pp. 741-753
    • Bigoni, D.1    Drugan, W.J.2
  • 8
    • 0002150948 scopus 로고
    • Dislocations and the theory of fracture
    • Liebowitz H. (Ed), Academic Press, New York
    • Bilby B.A., and Eshelby J.D. Dislocations and the theory of fracture. In: Liebowitz H. (Ed). Fracture vol. I (1968), Academic Press, New York
    • (1968) Fracture , vol.I
    • Bilby, B.A.1    Eshelby, J.D.2
  • 10
    • 0037837698 scopus 로고
    • The effect of couple-stresses on singularities due to discontinuous loadings
    • Bogy D.B., and Sternberg E. The effect of couple-stresses on singularities due to discontinuous loadings. International Journal of Solids and Structures 3 (1967) 757-770
    • (1967) International Journal of Solids and Structures , vol.3 , pp. 757-770
    • Bogy, D.B.1    Sternberg, E.2
  • 11
    • 0012996309 scopus 로고
    • The effect of couple-stresses on the corner singularity due to an asymmetric shear loading
    • Bogy D.B., and Sternberg E. The effect of couple-stresses on the corner singularity due to an asymmetric shear loading. International Journal of Solids and Structures 4 (1967) 159-174
    • (1967) International Journal of Solids and Structures , vol.4 , pp. 159-174
    • Bogy, D.B.1    Sternberg, E.2
  • 12
    • 0017292288 scopus 로고
    • An influence function of the intensity factor in tensile fracture
    • Burridge R. An influence function of the intensity factor in tensile fracture. International Journal of Engineering Science 14 (1976) 725-734
    • (1976) International Journal of Engineering Science , vol.14 , pp. 725-734
    • Burridge, R.1
  • 13
    • 0026754877 scopus 로고
    • Numerical solution of integral equations with a logarithmic kernel by the method of arbitrary collocation points
    • Chrysakis A.C., and Tsamasphyros G. Numerical solution of integral equations with a logarithmic kernel by the method of arbitrary collocation points. International Journal for Numerical Methods in Engineering 33 (1992) 143-148
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 143-148
    • Chrysakis, A.C.1    Tsamasphyros, G.2
  • 16
    • 0014568589 scopus 로고
    • The plane circular crack problem in the linearized couple-stress theory
    • Ejike U.B.C.O. The plane circular crack problem in the linearized couple-stress theory. International Journal of Engineering Science 7 (1969) 947-961
    • (1969) International Journal of Engineering Science , vol.7 , pp. 947-961
    • Ejike, U.B.C.O.1
  • 18
    • 0000824667 scopus 로고
    • On the numerical solution of singular integral equations
    • Erdogan F., and Gupta G.D. On the numerical solution of singular integral equations. Quarterly of Applied Mathematics 30 (1972) 525-534
    • (1972) Quarterly of Applied Mathematics , vol.30 , pp. 525-534
    • Erdogan, F.1    Gupta, G.D.2
  • 20
    • 0002763255 scopus 로고    scopus 로고
    • A discussion of strain gradient plasticity theories and application to shear bands
    • de Borst R., and van der Giessen E. (Eds), Wiley, New York
    • Fleck N.A., and Hutchinson J.W. A discussion of strain gradient plasticity theories and application to shear bands. In: de Borst R., and van der Giessen E. (Eds). Material Instabilities in Solids (1998), Wiley, New York 507-519
    • (1998) Material Instabilities in Solids , pp. 507-519
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 22
    • 34250475582 scopus 로고
    • Energy flux into the tip of an extending crack in an elastic solid
    • Freund L.B. Energy flux into the tip of an extending crack in an elastic solid. Journal of Elasticity 2 (1972) 341-349
    • (1972) Journal of Elasticity , vol.2 , pp. 341-349
    • Freund, L.B.1
  • 24
    • 0141829271 scopus 로고    scopus 로고
    • The mode-III crack problem in microstructured solids governed by dipolar gradient elasticity: static and dynamic analysis
    • Georgiadis H.G. The mode-III crack problem in microstructured solids governed by dipolar gradient elasticity: static and dynamic analysis. ASME Journal of Applied Mechanics 70 (2003) 517-530
    • (2003) ASME Journal of Applied Mechanics , vol.70 , pp. 517-530
    • Georgiadis, H.G.1
  • 25
    • 0038330386 scopus 로고    scopus 로고
    • High-frequency Rayleigh waves in materials with microstructure and couple-stress effects
    • Georgiadis H.G., and Velgaki E.G. High-frequency Rayleigh waves in materials with microstructure and couple-stress effects. International Journal of Solids and Structures 40 (2003) 2501-2520
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 2501-2520
    • Georgiadis, H.G.1    Velgaki, E.G.2
  • 26
    • 41449109612 scopus 로고    scopus 로고
    • Distributed dislocation approach for cracks in couple-stress elasticity: shear modes
    • Gourgiotis P.A., and Georgiadis H.G. Distributed dislocation approach for cracks in couple-stress elasticity: shear modes. International Journal of Fracture 147 (2007) 83-102
    • (2007) International Journal of Fracture , vol.147 , pp. 83-102
    • Gourgiotis, P.A.1    Georgiadis, H.G.2
  • 27
    • 24944483689 scopus 로고    scopus 로고
    • Uniqueness for plane crack problems in dipolar gradient elasticity and in couple-stress elasticity
    • Grentzelou C.G., and Georgiadis H.G. Uniqueness for plane crack problems in dipolar gradient elasticity and in couple-stress elasticity. International Journal of Solids and Structures 42 (2005) 6226-6244
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 6226-6244
    • Grentzelou, C.G.1    Georgiadis, H.G.2
  • 29
    • 49649134743 scopus 로고
    • A couple-stresses elastic solution of an infinite tension plate bounded by an elliptical hole
    • Hsu Y.C., Ju F.D., and Wang W.J. A couple-stresses elastic solution of an infinite tension plate bounded by an elliptical hole. Journal of Mathematical Analysis and Applications 40 (1972) 708-722
    • (1972) Journal of Mathematical Analysis and Applications , vol.40 , pp. 708-722
    • Hsu, Y.C.1    Ju, F.D.2    Wang, W.J.3
  • 31
    • 0033332323 scopus 로고    scopus 로고
    • Analytic and numerical studies on mode I and mode II fracture in elastic-plastic materials with strain gradient effects
    • Huang Y., Chen J.Y., Guo T.F., Zhang L., and Hwang K.C. Analytic and numerical studies on mode I and mode II fracture in elastic-plastic materials with strain gradient effects. International Journal of Fracture 100 (1999) 1-27
    • (1999) International Journal of Fracture , vol.100 , pp. 1-27
    • Huang, Y.1    Chen, J.Y.2    Guo, T.F.3    Zhang, L.4    Hwang, K.C.5
  • 33
    • 0022186457 scopus 로고
    • Measurement of apparent Young's modulus in the bending of cantilever beam by heterodyne holographic interferometry
    • Kakunai S., Masaki J., Kuroda R., Iwata K., and Nagata R. Measurement of apparent Young's modulus in the bending of cantilever beam by heterodyne holographic interferometry. Experimental Mechanics 21 (1985) 408-412
    • (1985) Experimental Mechanics , vol.21 , pp. 408-412
    • Kakunai, S.1    Masaki, J.2    Kuroda, R.3    Iwata, K.4    Nagata, R.5
  • 35
    • 0000737868 scopus 로고
    • On the use of the interpolation polynomial for solutions of singular integral equations
    • Krenk S. On the use of the interpolation polynomial for solutions of singular integral equations. Quarterly of Applied Mathematics 32 (1975) 479-484
    • (1975) Quarterly of Applied Mathematics , vol.32 , pp. 479-484
    • Krenk, S.1
  • 36
    • 0003118069 scopus 로고
    • Experimental methods for study of Cosserat elastic solids and other generalized continua
    • Mühlhaus H.-B. (Ed), Wiley & Sons, Chichester
    • Lakes R.S. Experimental methods for study of Cosserat elastic solids and other generalized continua. In: Mühlhaus H.-B. (Ed). Continuum Models for Materials with Microstructure (1995), Wiley & Sons, Chichester 1-22
    • (1995) Continuum Models for Materials with Microstructure , pp. 1-22
    • Lakes, R.S.1
  • 37
    • 0037938670 scopus 로고    scopus 로고
    • Circular inclusions in anti-plane strain couple stress elasticity
    • Lubarda V.A. Circular inclusions in anti-plane strain couple stress elasticity. International Journal of Solids and Structures 40 (2003) 3827-3851
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 3827-3851
    • Lubarda, V.A.1
  • 39
    • 33644576533 scopus 로고
    • Influence of couple stresses on stress concentrations
    • Mindlin R.D. 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
  • 41
    • 0001667118 scopus 로고
    • The influence of couple-stresses on singular stress concentrations in elastic solids
    • Muki R., and Sternberg E. The influence of couple-stresses on singular stress concentrations in elastic solids. Journal of Applied Mathematics and Physics (ZAMP) 16 (1965) 611-618
    • (1965) Journal of Applied Mathematics and Physics (ZAMP) , vol.16 , pp. 611-618
    • Muki, R.1    Sternberg, E.2
  • 43
    • 33748533871 scopus 로고
    • The plane problem of non-symmetrical theory of elasticity
    • Palmov V.A. The plane problem of non-symmetrical theory of elasticity. Applied Mathematics and Mechanics (PMM) 28 (1964) 1117-1120
    • (1964) Applied Mathematics and Mechanics (PMM) , vol.28 , pp. 1117-1120
    • Palmov, V.A.1
  • 44
    • 34247473069 scopus 로고    scopus 로고
    • Effects of characteristic material lengths on mode III crack propagation in couple stress elastic-plastic materials
    • Radi E. Effects of characteristic material lengths on mode III crack propagation in couple stress elastic-plastic materials. International Journal of Plasticity 23 (2007) 818-842
    • (2007) International Journal of Plasticity , vol.23 , pp. 818-842
    • Radi, E.1
  • 46
    • 84980287971 scopus 로고
    • A path independent integral and the approximate analysis of the strain concentration by notches and cracks
    • Rice J.R. A path independent integral and the approximate analysis of the strain concentration by notches and cracks. ASME Journal of Applied Mechanics 35 (1968) 379-386
    • (1968) ASME Journal of Applied Mechanics , vol.35 , pp. 379-386
    • Rice, J.R.1
  • 48
    • 0002091925 scopus 로고
    • The effect of couple-stresses on the stress concentration around a crack
    • Sternberg E., and Muki R. The effect of couple-stresses on the stress concentration around a crack. International Journal of Solids and Structures 3 (1967) 69-95
    • (1967) International Journal of Solids and Structures , vol.3 , pp. 69-95
    • Sternberg, E.1    Muki, R.2
  • 49
    • 0015627943 scopus 로고
    • Thermal stresses and couple-stresses in a square cylinder with a circular hole
    • Takeuti Y., and Noda N. Thermal stresses and couple-stresses in a square cylinder with a circular hole. International Journal of Engineering Science 11 (1973) 519-530
    • (1973) International Journal of Engineering Science , vol.11 , pp. 519-530
    • Takeuti, Y.1    Noda, N.2
  • 53
    • 51249096585 scopus 로고    scopus 로고
    • Voigt, W., 1887. Theoretische Studien uber die Elastizitatsverhaltnisse der Krystalle. Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen 34, 3-51.
    • Voigt, W., 1887. Theoretische Studien uber die Elastizitatsverhaltnisse der Krystalle. Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen 34, 3-51.
  • 54
    • 85147704177 scopus 로고
    • Couple-stress effects on stress concentration around a cylindrical inclusion in a field of uniaxial tension
    • Weitsman Y. Couple-stress effects on stress concentration around a cylindrical inclusion in a field of uniaxial tension. ASME Journal of Applied Mechanics 32 (1965) 424-428
    • (1965) ASME Journal of Applied Mechanics , vol.32 , pp. 424-428
    • Weitsman, Y.1
  • 56
    • 0009107948 scopus 로고    scopus 로고
    • The mode-III full-field solution in elastic materials with strain gradient effects
    • Zhang L., Huang Y., Chen J.Y., and Hwang K.C. The mode-III full-field solution in elastic materials with strain gradient effects. Interantional Journal of Fracture 92 (1998) 325-348
    • (1998) Interantional Journal of Fracture , vol.92 , pp. 325-348
    • Zhang, L.1    Huang, Y.2    Chen, J.Y.3    Hwang, K.C.4


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