A nonlinear Timoshenko beam formulation based on strain gradient theory
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[1] Shenjie Zhou,et al. Static and dynamic analysis of micro beams based on strain gradient elasticity theory , 2009 .
[2] Reza Ansari,et al. Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory , 2011 .
[3] K. A. Lazopoulos,et al. On the gradient strain elasticity theory of plates , 2004 .
[4] A. Giannakopoulos,et al. Structural analysis of gradient elastic components , 2007 .
[5] Mahdi Moghimi Zand,et al. Vibrational analysis of electrostatically actuated microstructures considering nonlinear effects , 2009 .
[6] R. D. Mindlin. Second gradient of strain and surface-tension in linear elasticity , 1965 .
[7] Shenjie Zhou,et al. A micro scale Timoshenko beam model based on strain gradient elasticity theory , 2010 .
[8] N.,et al. A PHENOMENOLOGICAL THEORY FOR STRAIN GRADIENT EFFECTS IN PLASTICITY , 2002 .
[9] I. Vardoulakis,et al. Bifurcation Analysis in Geomechanics , 1995 .
[10] M. Blencowe. Nanoelectromechanical systems , 2005, cond-mat/0502566.
[11] Shenjie Zhou,et al. The size-dependent natural frequency of Bernoulli–Euler micro-beams , 2008 .
[12] Reza Ansari,et al. Nonlocal Timoshenko beam model for the large-amplitude vibrations of embedded multiwalled carbon nanotubes including thermal effects , 2011 .
[13] P. Tong,et al. Couple stress based strain gradient theory for elasticity , 2002 .
[14] Gilberto Corso,et al. Evidence of a nanomechanical resonator being driven into chaotic response via the Ruelle–Takens route , 2002 .
[15] S. K. Park,et al. Bernoulli–Euler beam model based on a modified couple stress theory , 2006 .
[16] M. Asghari,et al. A NONLINEAR STRAIN GRADIENT BEAM FORMULATION , 2011 .
[17] A Farshidianfar,et al. A more comprehensive modeling of atomic force microscope cantilever. , 2008, Ultramicroscopy.
[18] J. N. Reddy,et al. A microstructure-dependent Timoshenko beam model based on a modified couple stress theory , 2008 .
[19] Mohammad Taghi Ahmadian,et al. A nonlinear Timoshenko beam formulation based on the modified couple stress theory , 2010 .
[20] Jie Yang,et al. Nonlinear free vibration of size-dependent functionally graded microbeams , 2012 .
[21] R. Toupin. Elastic materials with couple-stresses , 1962 .
[22] J. N. Reddy,et al. A Nonclassical Reddy-Levinson Beam Model Based on a Modified Couple Stress Theory , 2010 .
[23] Yuanwen Gao,et al. Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory. , 2009, Biochemical and biophysical research communications.
[24] K. G. Tsepoura,et al. Static and dynamic analysis of a gradient-elastic bar in tension , 2002 .
[25] J. Reddy. Mechanics of laminated composite plates and shells : theory and analysis , 1996 .
[26] Ronald A. Coutu,et al. A comparison of micro-switch analytic, finite element, and experimental results , 2004 .
[27] Mohammad Taghi Ahmadian,et al. Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method , 2010 .
[28] A. C. Eringen,et al. Nonlocal polar elastic continua , 1972 .
[29] Demosthenes Polyzos,et al. Bending and stability analysis of gradient elastic beams , 2003 .
[30] Fan Yang,et al. Experiments and theory in strain gradient elasticity , 2003 .
[31] N. C. MacDonald,et al. Five parametric resonances in a microelectromechanical system , 1998, Nature.
[32] E. Aifantis. Strain gradient interpretation of size effects , 1999 .
[33] Norman A. Fleck,et al. A phenomenological theory for strain gradient effects in plasticity , 1993 .
[34] M. Ashby,et al. Strain gradient plasticity: Theory and experiment , 1994 .
[35] J. N. Reddy,et al. A non-classical Mindlin plate model based on a modified couple stress theory , 2011 .
[36] K. A. Lazopoulos,et al. Bending and buckling of thin strain gradient elastic beams , 2010 .
[37] C. E. Maneschy,et al. Residual-stress analysis of an epoxy plate subjected to rapid cooling on both surfaces , 1986 .
[38] Liping Liu. THEORY OF ELASTICITY , 2012 .
[39] M. Asghari,et al. On the size-dependent behavior of functionally graded micro-beams , 2010 .
[40] Huajian Gao,et al. Strain gradient plasticity , 2001 .
[41] T. Kaneko. On Timoshenko's correction for shear in vibrating beams , 1975 .
[42] M. E. Gurtin,et al. A general theory of curved deformable interfaces in solids at equilibrium , 1998 .
[43] J. Reddy. Theory and Analysis of Elastic Plates and Shells , 2006 .
[44] H. F. Tiersten,et al. Effects of couple-stresses in linear elasticity , 1962 .
[45] J. R. Hutchinson. Shear coefficients for Timoshenko beam theory , 2001 .
[46] N. A. Flecka,et al. A reformulation of strain gradient plasticity , 2001 .