Abstract
In the present paper, we suggest to use the coupled mode theory (CMT) to describe the strain behavior of nanomaterials. Our approach is based on the analogy between nanocrystalline and granulated materials, on the similarity in the behavior of granulated materials, concentrated suspensions, and amorphous materials, and on the efficiency of CMT in the description of glass and suspension rheology. We use the successive approximation method for solving the nonlinear integro-differential equation of the CMT and show that already the first approximation describes the main qualitative properties of numerical solutions quite well. The Laplace transform is written out for the second approximation, which permits integrating the correlator over time and writing out the rheological relation implicitly.
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