罗恩,朱慧坚,原磊.电磁弹性动力学的非传统Hamilton型变分原理[J].中国科学:G辑, 2005, 35(6): 660-669.? LUO En, ZHU Huijian, YUAN Lei. Unconventional Hamilton?type variational principles of electro?magneto?elastic?dynamics[J].Science in China:Series G, 2005,35(6): 660-669.?
[2]
PARKUS H. Variational principles in thermo? magneto?elasticity[M]. New York:Springer?Verlag, 1972:11-24.[11]王晓明,沈亚鹏.电磁热弹性介质的一些基本理论[J].应用力学学报,1995,12(2):28-39. ?WANG Xiaoming, SHEN Yapeng. The some fundamental theory of electro?magneto?thermo?elastic media[J]. Chinese Journal of Applied Mechanics, 1995, 12(2): 28-39.?
[3]
LIANG Lifu, LIU Diankui, SONG Haiyan. The generalized quasi?variational principles of non?conservative systems with two kinds of variables[J]. Science in China: Series G, 2005,48 (5):600-613.?
[4]
P?REZ?FERN?NDEZ L D, BRAVO CASTILLERO J, RODRI′GUEZ RAMOS R,SABINA F J. On the constitutive relations and energy potentials of linear thermo?magneto?electro?elasticity [J]. Mechanics Research Communications, 2009,36: 343-350.?
[5]
胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社, 1981:382-388. HU Haichang. Variational principles of elastic mechanics and applications [M].Beijing: Science Press,1981: 382-388.?
[6]
梁立孚,冯晓九,宋海燕. 论弹性力学变分原理各类条件的完备性[J].哈尔滨工程大学学报,2004, 25(2): 153-156. ?LIANG Lifu, FENG Xiaojiu, SONG Haiyan. Completeness of various conditions of variational principles[J]. Journal of Harbin Engineering University, 2004, 25(2):153-156.
[7]
鲍亦兴.变形连续介质中的电磁力[M].于海年,李森译.北京:科学出版社,1996:103-115.? PAO Yih?seng. Electromagnetic forces in deformable continuum[M]. YU Hainian, LI Sen. Beijing: Science Press, 1996:103-115.?[2]钱伟长.变分法及有限元[M].北京:科学出版社, 1980:535-542.? CHIEN Weizang. Variational method and finite element[M].Beijing: Science Press,1980:535-542.?
[8]
梁立孚.变分原理及其应用[M].哈尔滨:哈尔滨工程大学出版社,2005:116-142.? LIANG Lifu. Variational principles and applications[M].Harbin: Harbin Engineering University Press,2005:116-142.?
[9]
周又和,郑晓静.铁磁体磁弹性相互作用的广义变分原理与理论模型[J].中国科学:A辑,1999,29(1):61-68.? ZHOU Youhe, ZHENG Xiaojing. A generalized variational principle and theoretical model for magnetoelastic interaction of ferromagnetic bodies [J]. Science in China:Series A, 1999,42(6): 618-626.?
[10]
KUANG Zhenbang. Some variational principles in elastic dielectric and elastic magnetic materials[J]. European Journal of Mechanics ? A/Solids, 2008, 27: 504-514.?
[11]
TIERSTEN H F. Variational principle for saturated magnetoelastic insulators[J]. J Math Phys,1965,6: 779-785.?[7]ALTAY G A,D?KMECI M C. Some variational principles for linear coupled thermoelasticity[J]. Int J Solids Structures, 1996, 33(26):3937-3948.?
[12]
刘艳红,张慧明.压电热弹性体的变分原理及正则方程和齐次方程[J].应用数学和力学, 2007, 28(2): 176-182.? LIU Yanhong, ZHANG Huiming. Variation principle of piezothermoelastic bodies, canonical equation and homogeneous equation[J]. Applied Mathematics and Mechanics, 2007, 28(2): 176-182.?