Affiliation:
1. Ishlinsky Institute for Problems in Mechanics RAS
Abstract
The results of calculations of the effective Young's modulus of longitudinally stretched twolayered plates made of identically oriented cubic crystals are presented on the basis of analytical analysis and the numerical finite element method. Analytical dependences of effective Young's modulus on Young's moduli and Poisson's ratios of crystals in layers are presented. Combinations of pairs of crystals with a significant deviation of the effective characteristics from ones found by the rule of mixtures are determined. The dependences of the effective Young's moduli on extreme values of the Young's moduli and Poisson's ratios of crystals in layers are established. They are presented graphically, and in some cases are reflected in the form of a table.
Publisher
The Russian Academy of Sciences
Reference109 articles.
1. Зубов В.Г., Фирсова М.М. Об особенностях упругого поведения кварца в области α–β-перехода // Кристаллография. 1962. Т. 7. № 3. С. 469–471.
2. Garber A.M. Pyrolytic materials for thermal protection systems // Aerospace Eng. 1963. V. 22. P. 126–137.
3. Поперека М.Я., Балагуров В.Г. Ферромагнитные пленки с отрицательным коэффициентом Пуассона // ФТТ. 1969. Т. 11. № 12. С. 2507–3513.
4. Gunton D.J., Saunders G.A. Stability limits on the Poisson ratio: application to a martensitic transformation // Proc. R. Soc. Lond. Ser. A. 1975. V. 343. № 1632. P. 63–83. https://doi.org/10.1098/rspa.1975.0052
5. Milstein F., Huang K. Existence of a negative Poisson ratio in fcc crystals // Phys. Rev. B. 1979. V. 19. № 4. P. 2030–2033. https://doi.org/10.1103/PhysRevB.19.2030