| Title | Effective elastic properties of layered composites under imperfect adhesion |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Khoroshun, LP, Levchuk, OI |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2019.05.056 |
| Issue | 5 |
| Section | Mechanics |
| Pagination | 56-66 |
| Date Published | 05/2019 |
| Language | Russian |
| Abstract | The problem of the effective elastic properties of a layered composite material of a stochastic structure with imperfect adhesion, which is modeled by an interphase layer with defects in the form of micropores, is considered. On the interfaces of the interphase layer with the layers of a filler and a matrix, perfect contact conditions are performed in the form of continuity of displacements and surface stresses. Interphase layers are considered as the third component, consisting of the surface layers of two components and the coupling coatings. The solution of the problem is based on stochastic differential equations of elasticity in displacements for a multicomponent composite material of the layered structure with isotropic and anisotropic components. On the basis of the solution, the effective properties of a three-component composite materials of the layered structure are investigated. The dependences of the effective elastic constants of the layered material with isotropic components on the volume content of a filler and the porosity of the interphase layer are constructed. |
| Keywords | effective elastic properties, imperfect adhesion, imperfect interface conditions, layered composite, porous interphase layers, stochastic equations |
1. Khoroshun, L. P. (1968). Statistical theory of deformation of unidirectional fibrous materials. Int. Appl. Mech., 4, No.7, pp. 5-9. doi: https://doi.org/10.1007/BF00889328
2. Khoroshun, L. P. (1972). Elastic properties of materials reinforced by unidirectional short fibers. Int. Appl. Mech., 8, No.12, pp. 1358-1363. doi: https://doi.org/10.1007/BF00883533
3. Khoroshun, L. P. (1974). Prediction of thermoelastic properties of materials strengthened by unidirectional discrete fibers. Int. Appl. Mech., 10, No.12, pp. 1288-1293. doi: https://doi.org/10.1007/BF00882133
4. Nazarenko, L., Stolarski, H., Khoroshun, L. & Altenbach, H. (2018). Effective thermo-elastic properties of random composites with orthotropic and aligned ellipsoidal inhomogeneties. Int. J. of Solids and Structures, 136-137, pp. 220-240. doi: https://doi.org/10.1016/j.ijsolstr.2017.12.016
5. Sangani, A. S. & Mo, G. (1997). Elastic interactions in particulate composites with perfect as well as imperfect interfaces. J. Mech. Phys. Solids, 45, pp. 2001-2031. doi: https://doi.org/10.1016/S0022-5096(97)00025-2
6. Achenbach, J. D. & Zhu, H. (1989). Effect of interfacial zone on mechanical behavior and failure of fiber-reinforced composites. J. Mech. Phys. Solids, 37, pp. 381-393. doi: https://doi.org/10.1016/0022-5096(89)90005-7
7. Benveniste, Y. (1985). The effective mechanical behavior of composite materials with imperfect contact between the constituents. Mech. Mater., 4. pp. 197-208. doi: https://doi.org/10.1016/0167-6636(85)90016-X
8. Benveniste, Y. & Miloh, T. (2001). Imperfect soft and stiff interfaces in two-dimensional elasticity. Mech. Mater., 33, pp. 309-323. doi: https://doi.org/10.1016/S0167-6636(01)00055-2
9. Gu, S. T. & He, Q. C. (2011). Interfacial discontinuity relations for coupled multifield phenomena and their application to the modeling of thin interphase as imperfect interfaces. J. Mech. Phys., 59, pp. 1413-1426. doi: https://doi.org/10.1016/j.jmps.2011.04.004
10. Gu, S. T., Liu, J. T. & He, Q. C. (2014). Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities. Int. J. Solids Struct., 51, pp. 2283-2296. doi:
https://doi.org/10.1016/j.ijsolstr.2014.02.033
11. Hashin, Z. (1990). Thermoelastic properties of fiber composites with imperfect interface. Mech. Mater., 8, pp. 333-348. doi: https://doi.org/10.1016/0167-6636(90)90051-G
12. Nazarenko, L., Stolarski, H. & Altenbach, H. (2017). A model of cylindrical inhomogeneity with spring layer interface and its application to analysis of short-fiber composites. Composite Structures, 160, pp. 635-652. doi: https://doi.org/10.1016/j.compstruct.2016.10.024
13. Hashin, Z. (2002). Thin interphase imperfect interface in elasticity with application to coated fiber composites. J. Mech. Phys. Solids, 50, pp. 2509-2537. doi: https://doi.org/10.1016/S0022-5096(02)00050-9
14. Kregers, А. F. (1988). Mathematical modeling of thermal expansion of spatially reinforced composites. Mechanics of Composite Materials, No. 3, pp. 433-441 (in Russian). doi: https://doi.org/10.1007/BF00606602
15. Khoroshun, L. P. (2018). Effective elastic properties of unidirectional fibrous composite materials with interfacial defects. Int. Appl. Mech., 54, No. 6, pp. 628-641. doi: https://doi.org/10.1007/s10778-018-0917-8
