期刊文献+

电磁弹性固体三维问题的广义变分原理 被引量:10

Generalized variational principles of three-dimensional problems in magnetoelectroelastic solids
在线阅读 下载PDF
导出
摘要 提出了以电磁弹性固体所有变量应力、应变、位移、电位移、电场强度、电势、磁感应强度、磁场强度和磁势为自变量的电磁弹性固体三维问题最一般形式的广义变分原理。它们涵盖了电磁弹性固体问题所有的基本方程和边界条件。在此基础上还可以进一步给出部分变量为自变量的其它形式广义变分原理。 The generalized variational principles for three-dimensional problems in the magneto-electroelastic solids are proposed, in which the independent variables are all variables of the magneto-electroelastic solid, such as stresses, strains, displacements, electrical displacements, electrical field intensities, electrical potential, magnetic inductions, magnetic field intensities and magnetic potential. They cover all fundamental equations and boundary conditions in the magneto-electroelastic solids. Furthermore, the other generalized variational principles can be developed on basis of the variational principles.
作者 姚伟岸
出处 《计算力学学报》 EI CAS CSCD 北大核心 2003年第4期487-489,共3页 Chinese Journal of Computational Mechanics
基金 国家自然科学基金 (1 0 1 72 0 2 1 )资助项目
关键词 电磁弹性固体 三维问题 广义变分原理 基本方程 边界条件 Boundary conditions Electric fields Magnetic fields Solids Strain Stresses Three dimensional Variational techniques
  • 相关文献

参考文献5

  • 1刘金喜.各向异性电磁弹性介质的Green函数[J].石家庄铁道学院学报,2000,13(3):56-59. 被引量:3
  • 2Nan Cewen. Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases [J]. Physical Review B, 1994,50(9) :6082-6088.
  • 3Huang Jin H, Kuo Wenshyong. The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusions [J]. J Appl Phys,1997,81(3) :1378-1386.
  • 4Wang Xu, Shen Yapeng. The general solution of three-dimensional problems in magnetoeletroelastic media[J]. Int J Engineering Science,2002,40(10):1069-1080.
  • 5Ding Haojiang, Chen Weiqiu. Three dimensional problems of piezoelastieity[J]. New York: Nova Science Publishers, 2001,19-32.

二级参考文献7

  • 1[1]C A Brebbia,J C F Telles,L C Wrobel.Boundary element techniques[M].Berlin: Springer-Verlag,1984.1~39
  • 2[2]T Mura.Micromechanics of defects in solids[M].Martinus Nijhoff Publishers,2nd ed.,Dordrecht,The Netherlands,1987.388~498
  • 3[3]L Kelvin.Note on the integration of the equation of equilibrium of an elastic solid[J].Cambridge and Dublin mathematical journal,1848.76~99
  • 4[5]J H Huang,W S Kuo.The analysis of piezoelectric/piezoelectric composite materials containing an ellipsoidal inclusion [J].J.Appl.Phys.,1997,81 (3): 1378~1386
  • 5[6]H O Kirchner,V I Alshits.Elastically anisotropic angularly inhomogeneous medis Ⅱ.The Green's function for piezoelectric,piezomagnetic and magnetoelectric media[J].Phil.Mag.,1996,74(4): 861~885
  • 6[7]V I Alshits,A N Darinskii,J Lothe.On the existence of surface waves in half-anisotropic elastic media with piezoelectric and piezomagnetic propertise[J].Wave Motion,1992,16,265~283
  • 7[8]C Y Wang.Elastic fields produced by a point source in solids of general anisotropy.J.Engng.Math.,1997,32:41~52

共引文献2

同被引文献68

引证文献10

二级引证文献40

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部