Fleck N A, Hutchinson J W. A phenomenological theory for strain gradient effects in plasticity[J]. Journal of the Mechanics and Physics of Solids, 1993, 41(12): 1825―1857.
[2]
Mizutani R, Oono Y, Matsuoka J, Nasu H, Kamiya K. Coating of polymethylmethacrylate with transparent SiO2 thin films by a sol-gel method[J]. Journal Materials Science, 1994, 29(21): 5773―5778.
Ting B Y, Winer W O, Ramalingam S. A semi-quantitative method for thin film adhesion measurement[J]. Journal of Tribology, 1985, 107: 472―477.
[6]
Ting B Y, Ramalingam S, Winer W O. An experimental investigation of the film-to-substrate bond strength of sputtered thin film using a semi-quantitative test method[J]. Journal of Tribology, 1985, 107: 478―482.
[7]
Wei Yueguang. Microscale mechanics for metal thin film delamination along ceramic substrates[J]. Science in China, 2000, 43(5): 509―516.
[8]
Wei Y G, Hutchinson J W. Nonlinear delamination mechanics for thin films[J]. Journal of the Mechanics and Physics of Solids, 1997, 45(7): 1137―1159.
[9]
Sukumar N, Moran B, Belytschko T. The natural element method in solid mechanics[J]. International Journal for Numerical Methods in Engineering, 1998, 43: 839―887.
[10]
Sukumar N, Moran B. C 1 natural neighbor interpolant for partial differential equations[J]. Numerical Methods for Partial Differential Equations, 1999, 15(4): 417―447.
Nie Zhifeng, Zhou Shenjie, Han Rujun, Xiao Linjing, Wang Kai. C 1 natural element method for strain gradient linear elasticity and its application to microstructures[J]. Acta Mechanica Sinica, 2012, 28(1): 91―103.
[13]
Wang K, Zhou S J, Nie Z F. Application of the gradient smoothing technique to the natural neighbour Galerkin method for the couple-stress elasticity[J]. CMES: Computer Modeling in Engineering and Sciences, 2011, 73(1): 77―102.
[14]
聂志峰. 应变梯度弹性理论 C 1自然单元法及其应用研究[D]. 济南: 山东大学, 2010.
[15]
Mindlin R D, Tiersten H F. Effects of couple stresses in linear elasticity[J]. Archive for Rational Mechanics and Analysis, 1962, 11(5): 415―448.
[16]
Cosserat E, Cosserat F. Theorie des Corps Deformables[M]. Paris: A. Hermann & Fils, 1909.
[17]
Eringen A C. Linear theory micropolar elasticity[J]. Journal of Mathematics and Mechanics, 1966, 15: 909―923.
[18]
Stölken J S, Evans A G. A microbend test method for measuring the plasticity length scale[J]. Acta Materialia, 1998, 46(14): 5109―5115.
