ELASTOSTATIC RESONANCES-A NEW APPROACH TO THE CALCULATION OF THE EFFECTIVE ELASTIC CONSTANTS OF COMPOSITES-f

نویسنده

  • YACOV KANTOR
چکیده

A NEW method is presented for a systematic evaluation of the effective elastic tensor Ccc) in a two-component composite. Both Ct” and local strain field are expanded in terms of a complete set of elastostatic resonances. The resonances are found by calculating eigenstates of a certain integral operator, and this can be carried out in stages. First one finds theeigenstates of individual, isolated grains or fibers, and only then does one attempt to calculate eigenstates of the entire composite. We apply this procedure to 2D periodic arrays of cylindersboth hexagonal and square. Using simple matrix perturbation techniques we obtain exact expansions for the elastic constants in powers of p, the volume fraction of the cyhnders, that go up to the order pi i in the case of bulk modulus of the hexagonal array.

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تاریخ انتشار 1981