Asymptotic Homogenization and Numerical Implementation to Predict the Effective Mechanical Properties for Electromagnetic Composite Conductor

作者: Zhibin Fang , Wei Sun , Jerome T. Tzeng

DOI: 10.1177/0021998304042737

关键词: Upper and lower boundsConductorElectrical conductorBoundary value problemAsymptotic homogenizationMathematical analysisComposite numberComposite materialHomogenization (chemistry)Finite element methodMathematicsMathematical optimization

摘要: Conventional mechanics-based homogenization model and the finite element approaches have inherent limitations errors when applying to calculate effective properties of composites. These are either caused from upper lower bounds due difference prescribed boundary conditions, or effect size condition representative element. Asymptotic theory-based does not but requires a complicated numerical implementation in order apply theory. This paper reports development an asymptotic approach with its considers application predicting mechanical electric conductor consisting core multi-layered composite insulations. The is developed based on using technique for meshing generation co...

参考文章(12)
W. Sun, J. T. Tzeng, Homogenization Modeling and Effective Mechanical Constants for EM Composite Conductor with Cooling Channel Journal of Composite Materials. ,vol. 37, pp. 147- 162 ,(2003) , 10.1106/002199803029406
Huiyu Sun, Shenglin Di, Nong Zhang, Changchun Wu, Micromechanics of composite materials using multivariable finite element method and homogenization theory International Journal of Solids and Structures. ,vol. 38, pp. 3007- 3020 ,(2001) , 10.1016/S0020-7683(00)00218-3
Amos Alexander, Jerome T. Tzeng, Three Dimensional Effective Properties of Composite Materials for Finite Element Applications Journal of Composite Materials. ,vol. 31, pp. 466- 485 ,(1997) , 10.1177/002199839703100502
J.T. Tzeng, Mechanics of composite rotating machines for pulsed power applications IEEE Transactions on Magnetics. ,vol. 37, pp. 328- 331 ,(2001) , 10.1109/20.911848
Yeong-Moo Yi, Sang-Hoon Park, Sung-Kie Youn, Asymptotic homogenization of viscoelastic composites with periodic microstructures International Journal of Solids and Structures. ,vol. 35, pp. 2039- 2055 ,(1998) , 10.1016/S0020-7683(97)00166-2
Z. Hashin, S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials Journal of the Mechanics and Physics of Solids. ,vol. 11, pp. 127- 140 ,(1963) , 10.1016/0022-5096(63)90060-7
Zvi Hashin, The Elastic Moduli of Heterogeneous Materials Journal of Applied Mechanics. ,vol. 29, pp. 143- 150 ,(1960) , 10.1115/1.3636446
H.D. Fair, E.E. Schmidt, The science and technology of electric launch: a US perspective IEEE Transactions on Magnetics. ,vol. 35, pp. 11- 18 ,(1999) , 10.1109/20.738367