التفاصيل البيبلوغرافية
| العنوان: |
Integral constraints in multiple-scales problems. |
| المؤلفون: |
CHAPMAN, S. J., MCBURNIE, S. E. |
| المصدر: |
European Journal of Applied Mathematics; Oct2015, Vol. 26 Issue 5, p595-614, 20p |
| مصطلحات موضوعية: |
INTEGRALS, ASYMPTOTIC expansions, ASYMPTOTIC homogenization, DIELECTRICS, ACOUSTIC wave propagation, MICROSTRUCTURE |
| مستخلص: |
Asymptotic homogenisation via the method of multiple scales is considered for problems in which the microstructure comprises inclusions of one material embedded in a matrix formed from another. In particular, problems are considered in which the interface conditions include a global balance law in the form of an integral constraint; this may be zero net charge on the inclusion, for example. It is shown that for such problems care must be taken in determining the precise location of the interface; a naive approach leads to an incorrect homogenised model. The method is applied to the problems of perfectly dielectric inclusions in an insulator, and acoustic wave propagation through a bubbly fluid in which the gas density is taken to be negligible. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
