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All issues Volume 15 / No 3 (2014) Mechanics & Industry, 15 3 (2014) 225-232 References
Open Access
Issue
Mechanics & Industry
Volume 15, Number 3, 2014
Page(s) 225 - 232
DOI https://doi.org/10.1051/meca/2014029
Published online 30 May 2014
  1. X. Li, B. Bhushan, K. Takashima, C.W. Baek, Y.K. Kim, Mechanical characterization of micro/nanoscale structures for MEMS/NEMS applications using nanoindentation techniques, Ultramicroscopy 97 (2003) 481–494 [CrossRef] [PubMed] [Google Scholar]
  2. J. Pei, F. Tian, T. Thundat, Glucose biosensor based on the microcantilever, Anal. Chem. 76 (2004) 292–297 [CrossRef] [PubMed] [Google Scholar]
  3. A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys. 54 (1983) 4703–4710 [CrossRef] [Google Scholar]
  4. A.C. Eringen, Edelen DGB On nonlocal elasticity, Int. J. Eng. Sci. 10 (1972) 233–248 [CrossRef] [Google Scholar]
  5. A. Khajeansari, G.H. Baradaran, Surface effect investigation for static bending of nanowires resting on elastic substrate using Timoshenko beam theory in tandem with the Laplace-Young equation, Mechanics & Industry 13 (2012) 163–174 [CrossRef] [EDP Sciences] [Google Scholar]
  6. R.A. Toupin, Elastic materials with couple-stresses, Arch. Ration. Mech. Anal. 11 (1962) 385–414 [CrossRef] [Google Scholar]
  7. R.D. Mindlin, H.F. Tiersten, Effects of couple-stresses in linear elasticity, Arch. Ration. Mech. Anal. 11 (1962) 415–448 [Google Scholar]
  8. F. Yang, A.C.M. Chong, D.C.C. Lam, P. Tong, Couple stress based strain gradient theory for elasticity, Int. J. Sol. Struct. 39 (2002) 2731–2743 [CrossRef] [Google Scholar]
  9. S.K. Park, X.L. Gao, Bernoulli-Euler beam model based on a modified couple stress theory, J. Micromech. Microeng. 16 (2006) 2355–2359 [CrossRef] [Google Scholar]
  10. S. Kong, S. Zhou, Z. Nie, K. Wang, The size-dependent natural frequency of Bernoulli-Euler micro-beams, Int. J. Eng. Sci. 46 (2008) 427–437 [CrossRef] [Google Scholar]
  11. M. Simsek, T. Kocatürk, S.D. Akbas, Static bending of a functionally graded microscale Timoshenko beam based on the modified couple stress theory, Compos. Struct. 95 (2013) 740–747 [CrossRef] [Google Scholar]
  12. A. Nateghi, M. Salamat-talab, J. Rezapour, B. Daneshian, Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory, Appl. Math. Model. 36 (2012) 4971–4987 [CrossRef] [MathSciNet] [Google Scholar]
  13. B. Akgoz, O. Civalek, Free vibration analysis axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory, Compos. Struct. 98 (2013) 314–322 [CrossRef] [Google Scholar]
  14. C.M.C. Roque, D.S. Fidalgo, A.J.M. Ferreira, J.N. Reddy, A study of a microstructure-dependent composite laminated Timoshenko beam using a modified couple stress theory and a meshless method, Compos. Struct. 96 (2013) 532–537 [CrossRef] [Google Scholar]
  15. L.L. Ke, Y. Wang, J. Yang, S. Kitipornchai, Nonlinear free vibration of size-dependent functionally graded microbeams, Int. J. Eng. Sci. 50 (2012) 256−267 [CrossRef] [Google Scholar]
  16. B. Akgoz, O. Civalek, Free vibration analysis for single-layered graphene sheets in an elastic matrix via modified couple stress theory, Mater. Design 42 (2012) 164−171 [CrossRef] [Google Scholar]
  17. B. Akgoz, O. Civalek, Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory, Meccanica 48 (2013) 863−873 [CrossRef] [MathSciNet] [Google Scholar]
  18. M. Asghari, Geometrically nonlinear micro-plate formulation based on the modified couple stress theory, Int. J. Eng. Sci. 51 (2012) 292–309 [CrossRef] [Google Scholar]
  19. P. Lu, L.H. He, H.P. Lee, C. Lu, Thin plate theory including surface effects, Int. J. Solid. Struct. 43 (2006) 4631–4647 [Google Scholar]
  20. C.W. Lim, L.H. He, Size-dependent nonlinear response of thin elastic films with nano-scale thickness, Int. J. Mech. Sci. 46 (2004) 1715−1726 [CrossRef] [Google Scholar]
  21. E. Jomehzadeh, H.R. Noori, A.R. Saidi, The size-dependent vibration analysis of micro-plates based on a modified couple stress theory, Phys. E 43 (2011) 877–883 [CrossRef] [Google Scholar]
  22. J.N. Reddy, J. Kim, A nonlinear modified couple stress-based third-order theory of functionally graded plates, Compos. Struct. 94 (2012) 1128–1143 [CrossRef] [Google Scholar]
  23. H.T. Thai, S.E. Kim, A size-dependent functionally graded Reddy plate model based on a modified couple stress theory, Composites B: Eng. 45 (2013) 1636–1645 [CrossRef] [Google Scholar]
  24. H.T. Thai, D.H. Choi, Size-dependent functionally graded Kirchhoff and Mindlin plate model based on a modified couple stress theory, Compos. Struct. 95 (2013) 142–153 [CrossRef] [Google Scholar]
  25. O. Civalek, B. Akgoz, Free vibration analysis of microtubules as cytoskeleton components: Nonlocal Euler-Bernoulli beam modeling, Scientica Iranica, Trans. B-Mech. Eng. 17 (2010) 367−375 [Google Scholar]
  26. Sc Pradhan, Buckling analysis and small scale effect of biaxially compressed graphene sheets using non-local elasticity theory, Sadhana 37 (2012) 461–480 [CrossRef] [Google Scholar]
  27. B. Akgoz, O. Civalek, Analysis of Micro-Sized Beams for VariousBoundary Conditions Based on the Strain Gradient Elasticity Theory, Arch. Appl. Mech. 82 (2012) 423–443 [CrossRef] [Google Scholar]
  28. G.R. Kirchhoff, Uber das gleichgewichi und die bewegung einer elastishem scheibe. JFuer die Reine und Angew. Math. 40 (1850) 51–88 [CrossRef] [Google Scholar]
  29. T.H. Von Karman, Encyklop die der Mathematischen, edition IV, Wissenschaften, 1910 [Google Scholar]
  30. D.O. Brush, B.O. Almorth, Buckling of bars, plates and shells, McGraw-Hill Book Company, 1980 [Google Scholar]
  31. L.H. Yu, C.Y. Wang, Buckling of rectangular plates on an elastic foundation using the Levy method, AIAA 12 (2008) 3163−3166 [CrossRef] [Google Scholar]

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