For the mechanical behavior of poroelastic media, the method of homogenization has been applied to derive effective equations on the macroscale, for a matrix with a periodic structure on the microscale. In existing theories the resulting effective equations are linear, which not only confirm the phenomenological theory of Biot [J. Appl. Phys. 12, 155-165 (1941)], but also provide a theoretical framework for calculating the constitutive coefficients. We point out that all past authors applied the continuity of displacement and stresses at the initial and undeformed solid-water interface; this implies that the solid displacement, due either to global or local strain, must be much smaller than the granular or pore size.
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