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math-ph2016
Homogenisation of thin periodic frameworks with high-contrast inclusions
Kirill D. Cherednichenko, James A. Evans
We analyse a problem of two-dimensional linearised elasticity for a two-component periodic composite, where one of the components consists of disjoint soft inclusions embedded in a…
math-ph2015
Full two-scale asymptotic expansion and higher-order constitutive laws in the homogenisation of the system of Maxwell equations
Kirill D. Cherednichenko, James A. Evans
For the system of Maxwell equations of electromagnetism in an -periodic composite medium of overall size (), in the low-frequency quasistatic approximation, we…