Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
TY - JOUR AU - I. K. Arkhipov AU - V. I. Abramova AU - A. E. Gvozdev AU - O. V. Kuzovleva TI - Mathematical modeling of elasticity properties in the mechanics of composite materials JO - Čebyševskij sbornik PY - 2020 SP - 262 EP - 271 VL - 21 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a21/ LA - ru ID - CHEB_2020_21_3_a21 ER -
%0 Journal Article %A I. K. Arkhipov %A V. I. Abramova %A A. E. Gvozdev %A O. V. Kuzovleva %T Mathematical modeling of elasticity properties in the mechanics of composite materials %J Čebyševskij sbornik %D 2020 %P 262-271 %V 21 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a21/ %G ru %F CHEB_2020_21_3_a21
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/
[1] Krivoglaz M. A., Cherevko A.S., “About elastic modules of a solid mixture”, Metal Physics and metal science, 8:2 (1959), 161–164
[2] Kanaun S. K., “Self-consistent field Method in the problem of effective properties of an elastic composite”, Applied mechanics and technical physics, 1975, no. 4, 194
[3] Shermergor T. D., Theory of elasticity of micro-homogeneous media, Nauka, M., 1977, 399 pp.
[4] Arkhipov I. K., Tolokonnikov L. A., “Effective relations between stresses and deformations in the correlation theory of elastic-plastic deformations”, Izvestiya AN SSSR. Solid mechanics, 2 (1984), 196–200 | MR
[5] Arkhipov I. K., Gerlein O. V., “Correlation characteristics of the plastic stiffness of a chaotically reinforced composite”, News of universities. Mathematics, 1982:7, 66–70
[6] Fokin A. G., Shermergor T. D., “Calculation of effective elastic modules of composite materials taking into account multiparticle interactions”, Applied mechanics and technical physics, 1969, no. 1, 51 | Zbl
[7] Livshits I. M., Rosenzweig L. N., “On the theory of elastic properties of polycrystals”, Journal of experimental and theoretical physics, 11:1946, 967
[8] Fokin A. G., Shermergor T. D., “Statistical description of the elastic field of layered materials”, Engineering and physical journal. Solid mechanics, 1968, no. 4, 93
[9] Fokin A. G., Shermergor T. D., “Effective elastic modulus of a composite composed of anisotropic layers”, Mechanics of polymers, 1975, no. 3, 408
[10] Yeh R. H. T., “Variational principles of elastic moduli of composite materials”, J. App. Phys., 1970, no. 8, 3353 | DOI
[11] Yeh R. H. T., “Variational bounds of the elastic moduli of twophase materials”, J. App. Phys., 1971, no. 3, 1101 | DOI | MR