Model of composite laminated thin plate based on modified couple stress theory and buckling analysis of scale effects

被引:0
作者
Li, Li [1 ,3 ]
Chen, Wan-Ji [1 ,2 ]
Zheng, Nan [2 ]
机构
[1] State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology
[2] Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation, Shenyang Aerospace University
[3] Physics and Biophysics Department, China Medical University
来源
Gongcheng Lixue/Engineering Mechanics | 2013年 / 30卷 / 05期
关键词
Anisotropic constitute relations; Buckling; Composite laminated thin plate; Modified couple stress theory; Scale effects;
D O I
10.6052/j.issn.1000-4750.2011.11.0750
中图分类号
学科分类号
摘要
The modified couple stress theory (C1 theory) in the isotropic elasticity is extended to anisotropic composite laminated plate. Based on virtual principle, a new model is established for a single layer of composite laminated thin plate involving two material characteristic length constants. In the theory the form of new curvature tensor is asymmetric, however it can result in the same symmetric curvature tensor as in the isotropic elasticity. More simplified model for cross-ply composite laminated thin plate involving one material length constant is applied to the buckling analysis. Numerical results show that the present plate model can capture the scale effects of buckling analysis in microstructures.
引用
收藏
页码:1 / 7
页数:6
相关论文
共 22 条
  • [1] Fleck N.A., Muller G.M., Ashby M.F., Hutchinson J.W., Strain gradient plasticity: Theory and experiment, Acta Metallurgica et Materialia, 42, 2, pp. 475-487, (1994)
  • [2] Stolken J.S., Evans A.G., A microbend test method for measuring the plasticity length-scale, Acta Materialia, 46, 14, pp. 5109-5115, (1998)
  • [3] Toupin R.A., Elastic materials with couple stresses, Archive for Rational Mechanics and Analysis, 11, pp. 385-414, (1962)
  • [4] Koiter W.T., Couple stresses in the theory of elasticity I & II, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, 67, pp. 17-44, (1964)
  • [5] Mindlin R.D., Influence of couple-stresses on stress concentrations, Experimental Mechanics, 3, pp. 1-7, (1963)
  • [6] Neuber H., On the general solution of linear-elastic problems in isotropic and anisotropic Cosserat continua, Proceedings of the 11th International Congress on Applied Mechanics, pp. 153-158, (1965)
  • [7] Fleck N.A., Hutchinson J.W., A phenomenological theory for strain gradient effects in plasticity, Journal of the Mechanics and Physics of Solids, 41, pp. 1825-1857, (1993)
  • [8] Yang F., Chong A.M., Lam D.C.C., Tong P., Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures, 39, pp. 2731-2743, (2002)
  • [9] Anthoine A., Effect of couple-stresses on the elastic bending of beams, International Journal of Solids and Structures, 37, pp. 1003-1018, (2000)
  • [10] Papargyri B.S., Tsepoura K.G., Polyzos D., Beskos D.E., Bending and stability analysis of gradient elastic beams, International Journal of Solids and Structures, 40, pp. 385-400, (2003)