메뉴 건너뛰기




Volumn 30, Issue 4, 2011, Pages 517-524

A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory

Author keywords

Micro plate; Size effect; Strain gradient elasticity

Indexed keywords

BUCKLING LOADS; COUPLE STRESS; FREE VIBRATION PROBLEM; KIRCHHOFF; MATERIAL LENGTH SCALE; MICRO-PLATE; MODEL-BASED; PLATE MODEL; PLATE THICKNESS; REDUCED MODEL; SIZE EFFECT; SIZE EFFECTS; STATIC BENDING; STRAIN GRADIENT ELASTICITY; STRUCTURAL SIZE;

EID: 79956355240     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2011.04.001     Document Type: Article
Times cited : (195)

References (36)
  • 1
    • 0000616248 scopus 로고    scopus 로고
    • On Some Aspects in the Special Theory of Gradient Elasticity
    • B.S. Altan, and E.C. Aifantis On some aspects in the special theory of gradient elasticity Journal of the Mechanical Behavior of Materials 8 1997 231 282 (Pubitemid 128021965)
    • (1997) Journal of mechanical behaviour of materials , vol.8 , Issue.3 , pp. 231-282
    • Altan, B.S.1    Aifantis, E.C.2
  • 4
    • 0023157032 scopus 로고
    • The initation and growth of, and the interation among, adiabatic shear bands in simple and dipolar materials International
    • DOI 10.1016/0749-6419(87)90019-2
    • R.C. Batra The initation and growth of, and the interation among, adiabatic shear bands in simple and dipolar materials International Journal of Plasticity 3 1987 75 89 (Pubitemid 17534110)
    • (1987) International journal of plasticity , vol.3 , Issue.1 , pp. 75-89
    • Batra, R.C.1
  • 5
    • 36448991927 scopus 로고    scopus 로고
    • Review of modeling electrostatically actuated microelectromechanical systems
    • R.C. Batra, M. Porfiri, and D. Spinello Review of modeling electrostatically actuated microelectromechanical systems Smart Materials and Structures 16 2007 R23 R31
    • (2007) Smart Materials and Structures , vol.16
    • Batra, R.C.1    Porfiri, M.2    Spinello, D.3
  • 6
    • 0038382884 scopus 로고    scopus 로고
    • The mechanical strength of polysilicon films: Part 2. Size effects associated with elliptical and circular perforations
    • I. Chasiotis, and W.G. Knauss The mechanical strength of polysilicon films: part 2. Size effects associated with elliptical and circular perforations Journal of the Mechanics and Physics of Solids 51 2003 1551 1572
    • (2003) Journal of the Mechanics and Physics of Solids , vol.51 , pp. 1551-1572
    • Chasiotis, I.1    Knauss, W.G.2
  • 7
    • 0001014421 scopus 로고
    • A thin-plate analysis and experimental evaluation of couple-stress effects
    • R.W. Ellis, and C.W. Smith A thin-plate analysis and experimental evaluation of couple-stress effects Experimental Mechanics 7 1967 372 380
    • (1967) Experimental Mechanics , vol.7 , pp. 372-380
    • Ellis, R.W.1    Smith, C.W.2
  • 8
    • 0034901777 scopus 로고    scopus 로고
    • Microstructure in linear elasticity and scale effects: A reconsideration of basic rock mechanics and rock fracture mechanics
    • DOI 10.1016/S0040-1951(01)00047-6, PII S0040195101000476
    • G.E. Exadaktylos, and I. Vardoulakis Microstructure in linear elasticity and scale effects: a reconsideration of basic rock mechanics and rock fracture mechanics Tectonophysics 335 2001 81 109 (Pubitemid 32719335)
    • (2001) Tectonophysics , vol.335 , Issue.1-2 , pp. 81-109
    • Exadaktylos, G.E.1    Vardoulakis, I.2
  • 11
    • 44449100441 scopus 로고
    • On bending of thin elastic plates in the presence of couple stresses
    • O. Hoffman On bending of thin elastic plates in the presence of couple stresses Journal of Applied Mechanics - ASME 31 1964 706 707
    • (1964) Journal of Applied Mechanics - ASME , vol.31 , pp. 706-707
    • Hoffman, O.1
  • 13
    • 0032595451 scopus 로고    scopus 로고
    • Indentation model and strain gradient plasticity law for glassy polymers
    • D.C.C. Lam, and A.C.M. Chong Indentation model and strain gradient plasticity law for glassy polymers Journal of Materials Research 14 1999 3784 3788
    • (1999) Journal of Materials Research , vol.14 , pp. 3784-3788
    • Lam, D.C.C.1    Chong, A.C.M.2
  • 15
    • 12344301256 scopus 로고    scopus 로고
    • On the gradient strain elasticity theory of plates
    • DOI 10.1016/j.euromechsol.2004.04.005, PII S0997753804000671
    • K.A. Lazopoulos On the gradient strain elasticity theory of plates European Journal of Mechanics - A/Solids 23 2004 843 852 (Pubitemid 40134572)
    • (2004) European Journal of Mechanics, A/Solids , vol.23 , Issue.5 , pp. 843-852
    • Lazopoulos, K.A.1
  • 16
    • 68149083079 scopus 로고    scopus 로고
    • On bending of strain gradient elastic micro-plates
    • K.A. Lazopoulos On bending of strain gradient elastic micro-plates Mechanics Research Communications 36 2009 777 783
    • (2009) Mechanics Research Communications , vol.36 , pp. 777-783
    • Lazopoulos, K.A.1
  • 17
    • 55749091952 scopus 로고    scopus 로고
    • A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
    • H.M. Ma, X.L. Gao, and J.N. Reddy A microstructure-dependent Timoshenko beam model based on a modified couple stress theory Journal of the Mechanics and Physics of Solids 56 2008 3379 3391
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 3379-3391
    • Ma, H.M.1    Gao, X.L.2    Reddy, J.N.3
  • 18
    • 24144462483 scopus 로고    scopus 로고
    • Role of material microstructure in plate stiffness with relevance to microcantilever sensors
    • DOI 10.1088/0960-1317/15/5/024
    • A.W. McFarland, and J.S. Colton Role of material microstructure in plate stiffness with relevance to microcantilever sensors Journal of Micromechanics and Microengineering 15 2005 1060 1067 (Pubitemid 41237440)
    • (2005) Journal of Micromechanics and Microengineering , vol.15 , Issue.5 , pp. 1060-1067
    • Mcfarland, A.W.1    Colton, J.S.2
  • 20
    • 0000095439 scopus 로고
    • Second gradient of strain and surface-tention in linear elasticity
    • R.D. Mindlin Second gradient of strain and surface-tention in linear elasticity International Journal of Solids and Structures 1 1965 417 438
    • (1965) International Journal of Solids and Structures , vol.1 , pp. 417-438
    • Mindlin, R.D.1
  • 26
    • 0030085874 scopus 로고    scopus 로고
    • Micro-hardness of annealed and work-hardened copper polycrystals
    • DOI 10.1016/1359-6462(95)00524-2
    • W.J. Poole, M.F. Ashby, and N.A. Fleck Micro-hardness of annealed and work-hardened copper polycrystals Scripta Materialia 34 1996 559 564 (Pubitemid 126386147)
    • (1996) Scripta Materialia , vol.34 , Issue.4 , pp. 559-564
    • Poole, W.J.1    Ashby, M.F.2    Fleck, N.A.3
  • 27
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending, buckling and vibration of beams
    • DOI 10.1016/j.ijengsci.2007.04.004, PII S0020722507000377
    • J.N. Reddy Nonlocal theories for bending, buckling and vibration of beams International Journal of Engineering Science 45 2007 288 307 (Pubitemid 47094801)
    • (2007) International Journal of Engineering Science , vol.45 , Issue.2-8 , pp. 288-307
    • Reddy, J.N.1
  • 29
    • 0032065801 scopus 로고    scopus 로고
    • The prediction of a size effect in micro-indentation
    • PII S0020768397001121
    • J.Y. Shu, and N.A. Fleck The prediction of a size effect in micro-indentation International Journal of Solids and Structures 35 1998 1363 1383 (Pubitemid 128397981)
    • (1998) International Journal of Solids and Structures , vol.35 , Issue.13 , pp. 1363-1383
    • Shu, J.Y.1    Fleck, N.A.2
  • 31
    • 65349137070 scopus 로고    scopus 로고
    • A new Kirchhoff plate model based on a modified couple stress theory
    • G.C. Tsiatas A new Kirchhoff plate model based on a modified couple stress theory International Journal of Solids and Structures 46 2009 2757 2764
    • (2009) International Journal of Solids and Structures , vol.46 , pp. 2757-2764
    • Tsiatas, G.C.1
  • 32
    • 0032206622 scopus 로고    scopus 로고
    • Bending of marble with intrinsic length scales: A gradient theory with surface energy and size effects
    • I. Vardoulakis, G. Exadaktylos, and S.K. Kourkoulis Bending of marble with intrinsic length scales: a gradient theory with surface energy and size effects Journal de Physique IV 8 1998 399 406
    • (1998) Journal de Physique IV , vol.8 , pp. 399-406
    • Vardoulakis, I.1    Exadaktylos, G.2    Kourkoulis, S.K.3
  • 35
    • 77955328833 scopus 로고    scopus 로고
    • A micro scale Timoshenko beam model based on strain gradient elasticity theory
    • B. Wang, S. Zhou, and J. Zhao A micro scale Timoshenko beam model based on strain gradient elasticity theory European Journal of Mechanics - A/Solids 29 2010 591 599
    • (2010) European Journal of Mechanics - A/Solids , vol.29 , pp. 591-599
    • Wang, B.1    Zhou, S.2    Zhao, J.3
  • 36
    • 0037150391 scopus 로고    scopus 로고
    • Couple stress based strain gradient theory for elasticity
    • DOI 10.1016/S0020-7683(02)00152-X, PII S002076830200152X
    • F. Yang, A.C.M. Chong, D.C.C. Lam, and P. Tong Couple stress based strain gradient theory for elasticity International Journal of Solids and Structures 39 2002 2731 2743 (Pubitemid 34617098)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.10 , pp. 2731-2743
    • Yang, F.1    Chong, A.C.M.2    Lam, D.C.C.3    Tong, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.