Geodesic
Mathematical modeling of elasticity properties in the mechanics of composite materials
Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 262-271

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This paper presents an overview of mathematical models that allow us to determine the effective elastic characteristics of various types of composite materials. The most well-known models are considered: virial decomposition, self-matching method, correlation approximation, and singular approximation. Models with a layered structure and matrix systems with a regular structure are considered.
Keywords: composites, mathematical models, modeling, plasticity, strength, elasticity. 
@article{CHEB_2020_21_3_a21,
     author = {I. K. Arkhipov and V. I. Abramova and A. E. Gvozdev and O. V. Kuzovleva},
     title = {Mathematical modeling of elasticity properties in the mechanics of composite materials},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {262--271},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a21/}
}
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I. K. Arkhipov; V. I. Abramova; A. E. Gvozdev; O. V. Kuzovleva. Mathematical modeling of elasticity properties in the mechanics of composite materials. Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 262-271. http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a21/