Wood R D.Finite element analysis of plane couplestress problems using first order stress functions[J].International Journal for Numerical Methods in Engineering,2005,26(2):489-509.
[2]
Herrmann L R.Mixed finite elements for couple stress analysis[C]//Hybrid and Mixed Element Methods.Edited by Atluri S N,et al.New York:Wiley,1983:1-17.
[3]
Providas E,Kattis M A.Finite element method in plane Cosserat elasticity[J].Computers&Structures,2002,80(27):2059-2069.
[4]
李雷,吴长春.基于Cosserat理论的应变梯度非协调数值研究[J].工程力学,2004,21(5):166-171.Li Lei,Wu Changchun.Incompatible finite element for materials with strain gradient effects based on the Cosserat theory[J].Engineering Mechanics,2004,21(5):166-171.
[5]
张洪武,吴敬凯,刘辉,等.广义平面矩形与空间矩形块体单元[J].计算力学学报,2010,27(3):391-396.Zhang Hongwu,Liu Hui,Wu Jingkai,et al.Generalized plane and space rectangular elements[J].Chinese Journal of Computational Mechanics,2010,27(3):391-396.
[6]
肖其林,凌中,吴永礼,等.偶应力问题的非协调元分析[J].中国科学院大学学报,2003,20(2):223-231.Xiao Qilin,Ling Zhong,Wu Yongli,et al.Incompatible finite element analysis of couple stress problems[J].Journal of the Graduate School of the Chinese Academy of Sciences,2003,20(2):223-231.
[7]
邢本东,张若京.基于Cosserat理论的广义协调元法[J].计算力学学报,2011,28(3):350-354.Xing Bendong,Zhang Ruojing.A generalized conforming element based on the Cosserat theory[J].Chinese Journal of Computational Mechanics,2011,28(3):350-354.
[8]
Hadjesfandiari A R,Dargush G F.Couple stress theory for solids[J].International Journal of Solids&Structures,2011,48(18):2496-2510.
[9]
Ma H M,Gao X L,Reddy J N.A microstructure-dependent Timoshenko beam model based on a modified couple stress theory[J].Journal of the Mechanics&Physics of Solids,2008,56(12):3379-3391.
[10]
Zhang H,Wang H,Liu G,et al.Quadrilateral isoparametric finite elements for plane elastic Cosserat bodies[J].Acta Mechanica Sinica,2005,21(4):388-394.
[11]
刘俊,黄铭,葛修润.考虑偶应力影响的应力集中问题求解[J].上海交通大学学报,2001,35(10):1481-1485.Liu Jun,Huang Ming,Ge Xiurun.Solution of stress concentration problem considering influence of couple stress[J].Journal of Shanghai Jiaotong University,2001,35(10):1481-1485.
[12]
Mindlin R D,Tiersten H F.Effects of couple-stresses in linear elasticity[J].Archive for Rational Mechanics and Analysis,1962,11(1):415-448.
[13]
Toupin R A.Elastic materials with couple-stresses[J].Archive for Rational Mechanics and Analysis,1962,11(1):385-414.
[14]
Toupin R A.Theories of elasticity with couple-stress[J].Archive for Rational Mechanics and Analysis,1964,17(2):85-112.
[15]
Chen S,Wang T.Strain gradient theory with couple stress for crystalline solids[J].European Journal of Mechanics-A/Solids,2001,20(5):739-756.
[16]
Itou S.The effect of couple-stresses on the stress concentration around an elliptic hole[J].International Journal of Engineering Science,1972,10(4):393-400.
[17]
Sternberg E,Muki R.The effect of couple-stresses on the stress concentration around a crack[J].International Journal of Solids&Structures,1967,3(1):69-95.
