Abstract
In the previous chapters, two-dimensional models of microstructured media were discussed, and the particles of which have three degrees of freedom. This chapter is devoted to the elaboration of a three-dimensional model of a crystalline medium consisting of spherical particles with six degrees of freedom. Such a medium is structurally similar to a fullerite crystal with a simple cubic lattice (see Sect. 1.2). The main objectives of this chapter are to obtain dynamic equations of a crystalline medium consisting of spherical particles by the method of structural modeling and to establish the relationships between the coefficients of these equations and the microstructure parameters of the material at issue.
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Acknowledgment
The research was carried out under the financial support of the Russian Foundation for Basic Research (projects No.19-08-00965-a, 18-29-10073-mk).
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Erofeev, V.I., Pavlov, I.S. (2021). A Cubic Lattice of Spherical Particles. In: Structural Modeling of Metamaterials. Advanced Structured Materials, vol 144. Springer, Cham. https://doi.org/10.1007/978-3-030-60330-4_6
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DOI: https://doi.org/10.1007/978-3-030-60330-4_6
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