메뉴 건너뛰기




Volumn 46, Issue 22-23, 2009, Pages 3927-3937

Analytical solutions for the thick-walled cylinder problem modeled with an isotropic elastic second gradient constitutive equation

Author keywords

Analytical solutions; Continuum mechanics; Elasticity; Micromorphic models; Second gradient models; Thick walled cylinder

Indexed keywords

ANALYTICAL RESULTS; ANALYTICAL SOLUTIONS; ELASTIC MODELS; GRADIENT MODEL; INTERNAL LENGTH SCALE; LOCALIZATION PHENOMENA; MACROSTRESSES; MICRO INDENTATION; MICROMORPHIC MODELS; MICROSTRUCTURE EFFECTS; NUMERICAL CODE; NUMERICAL MODELING; SCALE EFFECTS; SECOND GRADIENT MODELS; SMALL STRAINS; THICK WALLED CYLINDERS; THICK-WALLED CYLINDER;

EID: 70349156357     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.05.017     Document Type: Article
Times cited : (37)

References (29)
  • 4
    • 38549170792 scopus 로고    scopus 로고
    • Switching deformation modes in post-localization solutions with a quasi-brittle material
    • Bésuelle P., Chambon R., and Collin F. Switching deformation modes in post-localization solutions with a quasi-brittle material. Journal of Mechanics of materials and structures 1 7 (2006) 1115-1134
    • (2006) Journal of Mechanics of materials and structures , vol.1 , Issue.7 , pp. 1115-1134
    • Bésuelle, P.1    Chambon, R.2    Collin, F.3
  • 5
    • 33746012170 scopus 로고
    • Effects of micro-structure on the stress concentration at a spherical cavity
    • Bleustein J.L. Effects of micro-structure on the stress concentration at a spherical cavity. International Journal of Solids and Structures 2 (1966) 83-104
    • (1966) International Journal of Solids and Structures , vol.2 , pp. 83-104
    • Bleustein, J.L.1
  • 7
    • 0000835567 scopus 로고    scopus 로고
    • Etude de la localisation unidimensionelle à l'aide d'un modèle de second gradient
    • Chambon R., Caillerie D., and El Hassan N. Etude de la localisation unidimensionelle à l'aide d'un modèle de second gradient. Comptes Rendus de l'Académieédes Sciences 323 IIb (1996) 231-238
    • (1996) Comptes Rendus de l'Académieédes Sciences , vol.323 , Issue.IIb , pp. 231-238
    • Chambon, R.1    Caillerie, D.2    El Hassan, N.3
  • 9
    • 0035834458 scopus 로고    scopus 로고
    • Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies
    • Chambon R., Caillerie D., and Matsushima T. Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies. International Journal of Solids and Structures 38 (2001) 8503-8527
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 8503-8527
    • Chambon, R.1    Caillerie, D.2    Matsushima, T.3
  • 12
    • 0014776433 scopus 로고
    • Effects of strain-gradient on the stress-concentration at a cylindrical hole in a field of uniaxial tension
    • Eshel N.N., and Rosenfeld G. Effects of strain-gradient on the stress-concentration at a cylindrical hole in a field of uniaxial tension. Journal of Engineering Mathematics 4 (1970) 97-111
    • (1970) Journal of Engineering Mathematics , vol.4 , pp. 97-111
    • Eshel, N.N.1    Rosenfeld, G.2
  • 13
    • 0016430215 scopus 로고
    • Axi-symmetric problems in elastic materials of grade two
    • Eshel N.N., and Rosenfeld G. Axi-symmetric problems in elastic materials of grade two. Journal of the Franklin Institute 299 (1975) 43-51
    • (1975) Journal of the Franklin Institute , vol.299 , pp. 43-51
    • Eshel, N.N.1    Rosenfeld, G.2
  • 14
    • 77956668935 scopus 로고    scopus 로고
    • Strain gradient plasticity
    • Hutchinson J.W., and Wu T.Y. (Eds), Academic Press, New York
    • Fleck N.A., and Hutchinson J.W. Strain gradient plasticity. In: Hutchinson J.W., and Wu T.Y. (Eds). Advances in Applied Mechanics vol. 33 (1997), Academic Press, New York 295-361
    • (1997) Advances in Applied Mechanics , vol.33 , pp. 295-361
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 17
    • 0015631477 scopus 로고
    • La méthode des puissances virtuelles en mécanique des milieux continus: Première partie: théorie du second gradient
    • Germain P. La méthode des puissances virtuelles en mécanique des milieux continus: Première partie: théorie du second gradient. Journal de Mécanique 12 (1973) 235-274
    • (1973) Journal de Mécanique , vol.12 , pp. 235-274
    • Germain, P.1
  • 18
    • 0000141747 scopus 로고
    • The method of virtual power in continuum mechanics. Part 2: Microstructure
    • Germain P. The method of virtual power in continuum mechanics. Part 2: Microstructure. SIAM Journal on Applied Mathematics 25 (1973) 556-575
    • (1973) SIAM Journal on Applied Mathematics , vol.25 , pp. 556-575
    • Germain, P.1
  • 21
    • 0000095439 scopus 로고
    • Second gradient of strain and surface-tension in linear elasticity
    • Mindlin R.D. Second gradient of strain and surface-tension in linear elasticity. International Journal of Solids and Structures 1 (1965) 417-738
    • (1965) International Journal of Solids and Structures , vol.1 , pp. 417-738
    • Mindlin, R.D.1
  • 22
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: a law for strain gradient plasticity
    • Nix W., and Gao H. Indentation size effects in crystalline materials: a law for strain gradient plasticity. Journal of the Mechanics and Physics of Solids 46 (1997) 411-425
    • (1997) Journal of the Mechanics and Physics of Solids , vol.46 , pp. 411-425
    • Nix, W.1    Gao, H.2
  • 23
    • 1142276330 scopus 로고    scopus 로고
    • Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments
    • Rashid K., Al-Rub A., and Voyiadjis G. Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments. International Journal of Plasticity 20 (2004) 1139-1182
    • (2004) International Journal of Plasticity , vol.20 , pp. 1139-1182
    • Rashid, K.1    Al-Rub, A.2    Voyiadjis, G.3
  • 25
    • 0036143732 scopus 로고    scopus 로고
    • Finite element analysis of the indentation test on rocks with microstructure
    • Sulem J., and Cerrolaza M. Finite element analysis of the indentation test on rocks with microstructure. Computers and Geotechnics 29 (2002) 95-117
    • (2002) Computers and Geotechnics , vol.29 , pp. 95-117
    • Sulem, J.1    Cerrolaza, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.