Restudy of Theories for Elastic Solids With Microstructure

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DAI Tian-min. Restudy of Theories for Elastic Solids With Microstructure[J]. Applied Mathematics and Mechanics, 2002, 23(8): 771-777.

Citation:

DAI Tian-min. Restudy of Theories for Elastic Solids With Microstructure[J]. Applied Mathematics and Mechanics, 2002, 23(8): 771-777.

Citation:

DAI Tian-min. Restudy of Theories for Elastic Solids With Microstructure[J]. Applied Mathematics and Mechanics, 2002, 23(8): 771-777.

Department of Mathematics and Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P.R.China

[1]	Cosserat E, Cosserat F. Theorie des Corps Deformables[M]. Paris: Hermann, 1909.
[2]	Ericksen J, Truesdell C. Exact theory of stress and strain in rods and shells [J]. Arch Rational Mech Anal, 1958,1: 295-323.
[3]	Mindlin R D. Microstructure in linear elasticity [J]. Arch Rational Mech Anal,1964,16: 51-77.
[4]	Eringen A C, Suhubi E S. Nonlinear theory of simple microelastic solids [J]. Int J Engng Sci, 1964,2: I.198-203,Ⅱ. 389-404.
[5]	Green A E, Rivlin R S. Multipolar continuum mechanics [J]. Arch Rational Mech Anal, 1964,17:113-147.
[6]	Ciarletta M,Iesan D. Non-Classical Elastic Solids[M]. Boston, London, Melbourne: Longman Scientific & Technical, 1993.
[7]	戴天民. 带有微结构的连续统中新的能量守恒定律和C-D不等式[J]. 应用数学和力学,2001,22 (2):119-126.
[8]	戴天民. 广义连续统场论中新的功能及功率能率原理[J]. 应用数学和力学,2001,22(11):1111-1118.
[9]	Eringen A C. Balance laws of micromorphic continua revisited [J]. Int J Engng Sci, 1992, 30(6): 805-810.
[10]	戴天民. 三组非局部极性热力连续统的均衡方程和跳变条件[J]. 中国科学(A辑),1997,27(12):1106-1110.