Bending, buckling and free vibration analysis of size-dependent functionally graded circular/annular microplates based on the modified strain gradient elasticity theory
Tài liệu tham khảo
Ansari, 2010, Nonlocal plate model for free vibrations of single-layered graphene sheets, Phys. Lett. A, 375, 53, 10.1016/j.physleta.2010.10.028
Ansari, 2011, Axial buckling analysis of single-walled carbon nanotubes in thermal environments via Rayleigh-Ritz technique, Comput. Mater. Sci., 50, 3050, 10.1016/j.commatsci.2011.05.027
Ansari, 2011, Free vibration of size-dependent functionally graded microbeams based on a strain gradient theory, Compos. Struct., 94, 221, 10.1016/j.compstruct.2011.06.024
Ansari, 2011, Rayleigh-ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions, Phys. Lett. A, 375, 1255, 10.1016/j.physleta.2011.01.046
Ansari, 2012, Nonlocal beam theory for nonlinear vibrations of embeddedmultiwalled carbon nanotubes in thermal environment, Nonlinear Dyn., 67, 2241, 10.1007/s11071-011-0142-z
Ansari, 2012, A nonlinear Timoshenko beam formulation based on strain gradient theory, J. Mech. Mater. Struct., 7, 195, 10.2140/jomms.2012.7.195
Ansari, 2012, Study of small scale effects on the nonlinear vibration response of functionally graded Timoshenko microbeams based on the strain gradient theory, J. Comput. Nonlinear Dyn., 7, 031010, 10.1016/S1359-6454(98)00153-0
Ansari, 2012, Size-dependent pull-in instability of hydrostatically and electrostatically actuated circular microplates, J. Comput. Nonlinear Dyn., 8, 021015, 10.1115/1.4007358
Asghari, 2010, On the size-dependent behavior of functionally graded micro-beams, Mater. Des., 31, 2324, 10.1016/j.matdes.2009.12.006
Asghari, 2011, The modified couple stress functionally graded Timoshenko beam formulation, Mater. Des., 32, 1435, 10.1016/j.matdes.2010.08.046
Aydogdu, 2007, Free vibration analysis of functionally graded beams with simply supported edges, Mater. Des., 28, 1651, 10.1016/j.matdes.2006.02.007
Chong, 1999, Strain gradient plasticity effect in indentation hardness of polymers, J. Mater. Res., 14, 4103, 10.1557/JMR.1999.0554
Eringen, 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys., 54, 4703, 10.1063/1.332803
Eringen, 1964, Nonlinear theory of simple microelastic solid-i, Int. J. Eng. Sci., 2, 189, 10.1016/0020-7225(64)90004-7
Eringen, 1964, Nonlinear theory of simple microelastic solid-II, Int. J. Eng. Sci., 2, 389, 10.1016/0020-7225(64)90004-7
Fares, 2009, An efficient and simple refined theory for bending and vibration of functionally graded plates, Compos. Struct., 91, 296, 10.1016/j.compstruct.2009.05.008
Fleck, 1993, Phenomenological theory for strain gradient effects in plasticity, J. Mech. Phys. Solids, 41, 1825, 10.1016/0022-5096(93)90072-N
Fleck, 1994, Strain gradient plasticity: theory and Experiment, Acta Metall. Et. Mater., 42, 475, 10.1016/0956-7151(94)90502-9
Fu, 2004, TiNi-based thin films in mems applications: a review, J. Sensors Actuators A, 112, 395, 10.1016/j.sna.2004.02.019
Ganapathi, 2007, Dynamic stability characteristics of functionally graded materials shallow spherical shells, Compos. Struct., 79, 338, 10.1016/j.compstruct.2006.01.012
Hasanyan, 2008, Pull-in instabilities in functionally graded microthermoelectromechanical systems, J. Therm. Stresses, 31, 1006, 10.1080/01495730802250714
Kahrobaiyan, 2011, A nonlinear strain gradient beam formulation, Int. J. Eng. Sci., 49, 1256, 10.1016/j.ijengsci.2011.01.006
Kahrobaiyan, 2012, A strain gradient functionally graded Euler–Bernoulli beam formulation, Int. J. Eng. Sci., 52, 65, 10.1016/j.ijengsci.2011.11.010
Ke, 2012, Free vibration of size-dependent Mindlin microplates based on the modified couple stress theory, J. Sound. Vib., 331, 94, 10.1016/j.jsv.2011.08.020
Ke, 2012, Bending, buckling and vibration of size-dependent functionally graded annular microplates, Compos. Struct., 94, 3250, 10.1016/j.compstruct.2012.04.037
Koiter, 1964, Couple stresses in the theory of elasticity I and II, Proc. Koninklijke Nederl. Akademie van Wetenschappen (B), 67, 17
Kong, 2009, Static and dynamic analysis of micro beams based on strain gradient elasticity theory, Int. J. Eng. Sci., 47, 487, 10.1016/j.ijengsci.2008.08.008
Lam, 2003, Experiments and theory in strain gradient elasticity, J. Mech. Phys. Solids, 51, 1477, 10.1016/S0022-5096(03)00053-X
Lee, 2006, Metallic NEMS components fabricated from nanocomposite Al-Mo films, Nanotechnology, 17, 3063, 10.1088/0957-4484/17/12/042
Ma, 2011, A non-classical mindlin plate model based on a modified couple stress theory, Acta Mech., 220, 217, 10.1007/s00707-011-0480-4
Mindlin, 1964, Micro-structure in linear elasticity, Arch. Ration. Mech. Anal., 16, 51, 10.1007/BF00248490
Mindlin, 1965, Second gradient of strain and surface tension in linear elasticity, Int. J. Solids Struct., 1, 417, 10.1016/0020-7683(65)90006-5
Mindlin, 1968, On first strain-gradient theories in linear elasticity, Int. J. Solids Struct., 4, 109, 10.1016/0020-7683(68)90036-X
Mindlin, 1962, Effects of couple-stresses in linear elasticity, Arch. Ration. Mech. Anal., 11, 415, 10.1007/BF00253946
Rahaeifard, 2012, Size-dependent pull-in phenomena in nonlinear microbridges, Int. J. Mech. Sci., 54, 306, 10.1016/j.ijmecsci.2011.11.011
Salamat-talab, 2012, Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory, Int. J. Mech. Sci., 57, 63, 10.1016/j.ijmecsci.2012.02.004
Shu, 2000
Stolken, 1998, Microbend test method for measuring the plasticity length scale, Acta Metall. Et. Mater., 46, 5109, 10.1016/S1359-6454(98)00153-0
Thai, 2013, Size-dependent functionally graded Kirchhoff and Mindlin plate models basedon a modified couple stress theory, Compos. Struct., 95, 142, 10.1016/j.compstruct.2012.08.023
Thai, 2013, A size-dependent functionally graded Reddy plate model based on a modified couple stress theory, Compos. Part B, 45, 1636, 10.1016/j.compositesb.2012.09.065
Timoshenko, 1970
Toupin, 1964, Theory of elasticity with couple stresses, Arch. Ration. Mech. Anal., 17, 85, 10.1007/BF00253050
Vardoulaksi, 1998, Bending of Marble with intrinsic length scales: a gradient theory with surface Energy and size effects, J. Phys. IV, 8, 399, 10.1016/j.compositesb.2012.09.065
Wang, 2010, A micro scale timoshenko beam model based on strain gradient elasticity theory, Eur. J. Mech. A/Solids, 29, 591, 10.1016/j.euromechsol.2009.12.005
Wang, 2011, Pull-in instability analysis of electrostatically actuated microplate with rectangular shape, Int. J. Precis. Eng. Manuf., 12, 1085, 10.1007/s12541-011-0145-1
Wang, 2011, A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity, Eur. J. Mech. A/Solids, 30, 517, 10.1016/j.euromechsol.2011.04.001
Witvrouw, 2005, The use of functionally graded poly-SiGe layers for MEMS applications, Material Sci. Forum, 492-493, 255, 10.4028/www.scientific.net/MSF.492-493.255
Yang, 2002, Couple stress based strain gradient theory for elasticity, Int. J. Solids Struct., 39, 2731, 10.1016/S0020-7683(02)00152-X
Zhao, 2012, Nonlinear microbeam model based on strain gradient theory, Appl. Math. Model., 96, 2674, 10.1016/j.apm.2011.09.051