A simple solution method to 3D integral nonlocal elasticity: Isotropic-BEM coupled with strong form local radial point interpolation
Tài liệu tham khảo
Sudak, 2003, Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics, J Appl Phys, 94, 7281, 10.1063/1.1625437
Wang, 2008, 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
Filiz, 2010, Axial vibration of carbon nanotube heterojunctions using nonlocal elasticity, Comp Mater Sci, 49, 619, 10.1016/j.commatsci.2010.06.003
Hu, 2008, Nonlocal shell model for elastic wave propagation in single and double walled carbon nanotubes, J Mech Phys Solids, 56, 3475, 10.1016/j.jmps.2008.08.010
Eringen, 1987, Theory of nonlocal elasticity and some applications, Res Mech, 21, 313
Kröner, 1967, Elasticity theory of materials with long range cohesive forces, Int J Solids Struct, 3, 731, 10.1016/0020-7683(67)90049-2
Kunin, 1968, The theory of elastic media with microstructure and the theory of dislocation
Krumhansl, 1968, Some consideration on the relations between solid state physics and generalized continuum mechanics
Edelen, 1971, On the thermodynamics of systems with nonlocality, Arch Rationale Mech Anal, 43, 24, 10.1007/BF00251543
Edelen, 1971, Nonlocal continuum mechanics, Arch Rationale Mech Anal, 43, 36, 10.1007/BF00251544
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 nonlocal 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
Gao, 1989, On the study of a penny-shaped crack in nonlocal elasticity, Acta Mech Solids Sin, 2, 253
Minghao, 1999, The method of analysis of crack problem in three dimensional non-local elasticity, Appl Math Mech, 20
Eringen, 1977, Edge dislocation in nonlocal elasticity, Int J Eng Sci, 15, 177, 10.1016/0020-7225(77)90003-9
Eringen, 1977, Screw dislocation in nonlocal elasticity, J Phys D Appl Phys, 10, 671, 10.1088/0022-3727/10/5/009
Lazar, 2006, On a theory of nonlocal elasticity of bi-Helmholtz type and some applications, Int J Solids Struct, 43, 1404, 10.1016/j.ijsolstr.2005.04.027
Povstenko, 2005, Concentrated ring loading in a nonlocal elastic medium, Int J Eng Sci, 43, 457, 10.1016/j.ijengsci.2004.10.002
Artan, 1999, The nonlocal solution of the elastic half plane loaded by a couple, Int J Eng Sci, 37, 1389, 10.1016/S0020-7225(98)00130-X
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
Jackiewicz, 2008, Computational simulation of crack problems by means of the contour element method, Eng Fract Mech, 75, 461, 10.1016/j.engfracmech.2007.01.011
Pisano, 2009, Nonlocal integral elasticity: 2D finite element based solutions, Int J Solids Struct, 46, 3836, 10.1016/j.ijsolstr.2009.07.009
Belytschko, 1994, Element free Galerkin methods, Int J Numer Methods Eng, 37, 229, 10.1002/nme.1620370205
Atluri, 1998, A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics, Comput Mech, 22, 117, 10.1007/s004660050346
Liu, 1995, Reproducing kernel particle methods for structural dynamics, Int J Numer Methods Eng, 38, 1655, 10.1002/nme.1620381005
Liu, 2001, A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids, J Sound Vib, 246, 29, 10.1006/jsvi.2000.3626
Liu, 2003, A meshfree method: meshfree weak–strong (MWS) form method for 2-D solids, Comput Mech, 33, 2, 10.1007/s00466-003-0477-5
Brebbia, 1992
Balas, 1989
Bonnet, 1999