The homogenization method based on the two-scale asymptotic expansion of field variables was developed for composites with periodic internal structures (e.g., Bensoussan et al., 1978; Sanchez-Palencia, 1980; Bakhvalov and Panasenko, 1989; Kalamkarov, 1992). This method is effective for evaluating not only macroscopic constitutive equations but also microscopic distributions of stress and strain in such composites.
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