ON THE ENERGY OF ELECTROELASTIC FRACTURE

被引:7
作者
DASCALU, C
MAUGIN, GA
机构
[1] Laboratoire de Modélisation en Mécanique (UA 229 CNRS), Université Pierre-et-Marie Curie, Paris Cédex 05, 75252, Tour 66
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1995年 / 46卷 / 03期
关键词
D O I
10.1007/BF01003555
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two energy approaches to electroelastic fracture yielding path-independent integrals already proposed in the literature are analysed in this paper. A particular problem concerning the propagation of an electrically conducting crack in a dielectric is formulated and the near-tip solution is obtained. This is used to show that one of the above-mentioned energy balances for the fractured body contains a diverging integral, becoming inadequate for the description of such a real situation. The controversy concerning the path-independent integrals is identified as being a controversy between two basic different formulations of electroelasticity equations. In the present context, the obtained results actually represents an argument in favour of the theory that views the action of electromagnetic fields via contact forces rather than at-a-distance forces.
引用
收藏
页码:355 / 365
页数:11
相关论文
共 16 条
[1]  
Rice J.R., A path-independent integral and approximate analysis of strain concentrations by notches and cracks, Journal of Applied Mechanics, 35, pp. 379-388, (1968)
[2]  
Pak Y.E., Herrmann G., Conservation laws and the material momentum tensor for the elastic dielectric, Int. J. Engng. Sci., 24, pp. 1365-1374, (1986)
[3]  
Maugin G.A., Epstein M., The electroelastic energy-momentum tensor, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 433 A, pp. 299-312, (1991)
[4]  
Dascalu C., Maugin G.A., Energy release rates and path-independent integrals in electroelastic crack propagation, Int. J. Engng. Sci., 32, pp. 755-765, (1994)
[5]  
Maugin G.A., Eringen A.C., On the equations of the electrodynamics of deformable bodies of finite extent, J. Mécanique, 16, pp. 101-147, (1977)
[6]  
McMeeking R.M., Electrostrictive stresses near crack-like flaws, J. Appl. Math. Phys. (ZAMP), 40, pp. 615-627, (1989)
[7]  
Eringen A.C., Maugin G.A., Electrodynamics of Continua, vol. 1, (1990)
[8]  
Maugin G.A., Continuum Mechanics of Electromagnetic Solids, (1988)
[9]  
Pao Y.H., Electromagnetic forces in deformable media, Mechanics Today, pp. 209-305, (1978)
[10]  
McMeeking R.M., A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics, Int. J. Engng. Sci., 28, pp. 608-613, (1990)