New insights on the applicability of Eringen’s nonlocal theory
Tài liệu tham khảo
Abdollahi, 2013, Benchmarks in nonlocal elasticity defined by Eringen’s integral model, Int J Solids Struct, 50, 2758, 10.1016/j.ijsolstr.2013.04.027
Altan, 1989, Uniqueness of the initial-value problems in nonlocal elastic solids, Int J Solids Struct, 25, 1271, 10.1016/0020-7683(89)90091-7
Altan, 1989, Existence in nonlocal elasticity, Arch Mech, 41, 25
Arash, 2012, Wave propagation in graphene sheets with nonlocal elastic theory via finite element formulation, Comput Methods Appl Mech Eng, 223–224, 1, 10.1016/j.cma.2012.02.002
Aydogdu, 2012, Longitudinal wave propagation in nanorods using a general nonlocal unimodal rod theory and calibration of nonlocal parameter with lattice dynamics, Int J Eng Sci, 56, 17, 10.1016/j.ijengsci.2012.02.004
Bian, 2008, Vibrational and thermodynamic properties of metals from a model embedded-atom potential, J Phys Chem Solids, 69, 168, 10.1016/j.jpcs.2007.08.046
Chang, 1975, Lattice dynamics of BaO, J Phys Chem Solids, 56, 769, 10.1016/0022-3697(75)90100-6
Cekirge, 1973, Deformations in a nonlocal elastic layer, Lett Appl Eng Sci, 1, 297
Cochran, 1973
Dutton, 1972, Crystal dynamics of platinum by inelastic neutron scattering, Can J Phys, 50, 2915, 10.1139/p72-385
Eringen, 1964, Nonlinear theory of simple micro-elastic solids-I, Int J Eng Sci, 2, 189, 10.1016/0020-7225(64)90004-7
Eringen, 1966, A unified theory of thermomechanical materials, Int J Eng Sci, 4, 179, 10.1016/0020-7225(66)90022-X
Eringen, 1972, Nonlocal polar elastic continua, Int J Eng Sci, 10, 1, 10.1016/0020-7225(72)90070-5
Eringen, 1972, Linear theory of nonlocal elasticity and dispersion of plane waves, Int J Eng Sci, 10, 425, 10.1016/0020-7225(72)90050-X
Eringen, 1972, On nonlocal elasticity, Int J Eng Sci, 10, 233, 10.1016/0020-7225(72)90039-0
Eringen, 1974, Stress concentration at the tip of a crack, Mech Res Commun, 1, 233, 10.1016/0093-6413(74)90070-6
Eringen, 1977, Crack-tip problem in non-local elasticity, J Mech Phys Solids, 25, 339, 10.1016/0022-5096(77)90002-3
Eringen, 1978, Line crack subjected to shear, Int J Fract, 14, 367, 10.1007/BF00015990
Eringen, 1979, Line crack subjected to anti-plane shear, Eng Fract Mech, 12, 211, 10.1016/0013-7944(79)90114-0
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, 1992, Vistas of nonlocal continuum physics, Int J Eng Sci, 30, 1551, 10.1016/0020-7225(92)90165-D
Eringen, 2002
Eringen, 2006, Nonlocal continuum mechanics based on distributions, Int J Eng Sci, 44, 141, 10.1016/j.ijengsci.2005.11.002
Jishi, 1993, Phonon modes in carbon nanotubules, Chem Phys Lett, 209, 77, 10.1016/0009-2614(93)87205-H
Kearney, 1970, Lattice dynamics of magnesium stannide at room temperature, J Phys Chem Solids, 31, 1085, 10.1016/0022-3697(70)90318-5
Kroner, 1967, Elasticity theory of materials with long range cohesive forces, Int J Solids Struct, 3, 731, 10.1016/0020-7683(67)90049-2
Lim, 2010, Wave propagation in carbon nanotubes: nonlocal elasticity-induced stiffness and velocity enhancement effects, J Mech Mater Struct, 5, 459, 10.2140/jomms.2010.5.459
Lu, 2006, Dynamic properties of flexural beams using a nonlocal elasticity model, J Appl Phys, 99, 073510, 10.1063/1.2189213
Lu, 2007, Non-local elastic plate theories, Proc R Soc A, 463, 3225, 10.1098/rspa.2007.1903
Lynn, 1973, Lattice dynamics of gold, Phys Rev B, 8, 3493, 10.1103/PhysRevB.8.3493
Nilsson, 1973, Lattice dynamics of copper at 80K, Phys Rev B, 7, 2393, 10.1103/PhysRevB.7.2393
Phadikar, 2010, Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates, Comput Mater Sci, 49, 492, 10.1016/j.commatsci.2010.05.040
Pisano, 2003, Closed form solution for a nonlocal elastic bar in tension, Int J Solids Struct, 41, 13, 10.1016/S0020-7683(02)00547-4
Pisano, 2009, Nonlocal integral elasticity: 2D finite element based solutions, Int J Solids Struct, 46, 3836, 10.1016/j.ijsolstr.2009.07.009
Polizzotto, 2001, Nonlocal elasticity and related variational principles, Int J Solids Struct, 38, 7359, 10.1016/S0020-7683(01)00039-7
Polizzotto, 2004, A strain-difference-based nonlocal elasticity model, Int J Solids Struct, 41, 2383, 10.1016/j.ijsolstr.2003.12.013
Pradhan, 2009, Nonlocal elasticity theory for vibration of nanoplates, J Sound Vib, 325, 206, 10.1016/j.jsv.2009.03.007
Reddy, 2007, Nonlocal theories for bending, buckling and vibration of beams, Int J Eng Sci, 45, 288, 10.1016/j.ijengsci.2007.04.004
Reichardt, 1975, Lattice dynamics of NiO, J Phys C: Solid State Phys, 8, 3955, 10.1088/0022-3719/8/23/009
Shaat, 2015, Iterative nonlocal elasticity for kirchhoff plates, Int J Mech Sci, 90, 162, 10.1016/j.ijmecsci.2014.11.004
Verble, 1968, Lattice dynamics of lithium hydride, Phys Rev, 168, 980, 10.1103/PhysRev.168.980
Wakabayashi, 1972, Lattice dynamics of Mg2Pb at room temperature, Phys Rev B, 5, 2103, 10.1103/PhysRevB.5.2103
Wang, 2005, Wave propagation in carbon nanotubes via nonlocal continuum mechanics, J Appl Phys, 98, 124301, 10.1063/1.2141648
Wang, 2007, The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes, Nanotechnology, 8, 075702, 10.1088/0957-4484/18/7/075702
Wang, 2007, Application of nonlocal elastic shell theory in wave propagation analysis of carbon nanotubes, Smart Mater Struct, 16, 178, 10.1088/0964-1726/16/1/022
Wang, 2015, Wave propagation analysis in nonlinear curved single-walled carbon nanotubes based on nonlocal elasticity theory, Physica E: Low-Dimens Syst Nanostruct, 66, 283, 10.1016/j.physe.2014.09.015
Warren, 1965