The Deformable and Strength Characteristics of Nanocomposites Improving

Abstract:

Mechanical properties of composites and nanocomposites have been considered in the assumptions of linear elasticity. To describe the nanoscale contact between matrices and inclusions on the interface surface, the conditions of ideal contact and non-classical Gurtin-Murdoch conditions have been implemented. The influence of shapes and relative sizes of inhomogeneities and matrices of representative volumes on the effective elasticity modulus of nanocomposites has been treated. Matrices in the form of cube and cylinder of finite sizes and inhomogeneity in the form of spheres and fibers have been considered. Finite element-based calculation models have been generalized to composites with distributed nanoinclusions of random and ordered orientation. The resulting models create the informative base for nanocomposites synthesis technologies with improved deformable and strength characteristics.

• Periodical: Materials Science Forum (Volume 1038)
• Pages: 144-153
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.1038.144
• Online since: July 2021
• Authors: Olena Sierikova*, Volodymyr Koloskov, Kirill Degtyarev, Olena Strelnikova
• Keywords: Boundary Element Methods, Classical Contact Conditions, Finite Element Methods, Interface Surfaces, Nanocomposites, Non-Classical Contact Conditions, Three-Dimensional Composites

References

[1] M.E. Gurtin, A.I. Murdoch A continuum theory of elastic material surfaces. Archive of Rational Mechanics Analysis. (1975) 291-323.

DOI: 10.1007/bf00261375

[2] V.V. Mykhas'kiv, B.M Stasyuk. Effective elastic properties of 3D composites with short curvilinear fibers: numerical simulation and experimental validation. Solid State Phenomena. 258. (2017) 452-455.

DOI: 10.4028/www.scientific.net/ssp.258.452

[3] V.I. Kushch Stress field and effective elastic moduli of periodic spheroidal particle composite with Gurtin-Murdoch interface. International Journal of Engineering Science. 132 (2018) 79-96.

DOI: 10.1016/j.ijengsci.2018.08.001

[4] V. Gnitko, K. Degtyariov, A. Karaiev A., E. Strelnikova. Multi-domain boundary element method for axisymmetric problems in potential theory and linear isotropic elasticity. WIT Transactions on Engineering Sciences. 122(2019) 13-25.

DOI: 10.2495/be410021

[5] J. Luo, X. Wang. On the anti-plane shear of an elliptic nanoinhomogeneity. European Journal of Mechanics. Solids. 28 (2009) 926-934.

DOI: 10.1016/j.euromechsol.2009.04.001

[6] S.G. Mogilevskaya, S.L. Crouch, H.K. Stolarski. Multiple interacting circular nano-inhomogeneities with surface/interface effects. Journal of the Mechanics and Physics of Solids. 56 (2008) 2298-2327.

DOI: 10.1016/j.jmps.2008.01.001

[7] L. Tian, R.K. Rajapakse. Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity. International Journal of Solids and Structures. 44 (2007) 7988–8005.

DOI: 10.1016/j.ijsolstr.2007.05.019

[8] Y.M. Rodichev, N.V. Smetankina, O.M. Shupikov, S.V. Ugrimov. Stress-strain assessment for laminated aircraft cockpit windows at static and dynamic load. Strength of Materials. Vol. 50, no. 6. Springer, US. (2018) 868–873.

DOI: 10.1007/s11223-019-00033-4

[9] C.Y. Dong, E. Pan. Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects. Engineering Analysis with Boundary Elements. 35 (2011) 996-1002.

DOI: 10.1016/j.enganabound.2011.03.004

[10] Bakr, Adib A., The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems. Springler – Verlag Berlin Heidelberg New York Tokyo (1986).

[11] J. Balas, J. Sladek, V. Sladek. Stress analysis by boundary elements. Studies in Applied Mechanics, Elsevier. (1989).

[12] A. Karaiev, E. Strelnikova. Singular Integrals in Axisymmetric Problems of Elastostatics International Journal of Modeling, Simulation, and Scientific Computing. 11(01) (2019) doi.org/10.1142/S1793962320500038.

DOI: 10.1142/s1793962320500038

[13] E. Strelnikova D. Kriutchenko, V. Gnitko, K. Degtyarev. Boundary element method in nonlinear sloshing analysis for shells of revolution under longitudinal excitations.  Engineering Analysis with Boundary Elements 111 (2020) 78-87.

DOI: 10.1016/j.enganabound.2019.10.008

[14] V. Gnitko, K. Degtyariov, V. Naumenko, E. Strelnikova. BEM and FEM analysis of the fluid-structure Interaction in tanks with baffles/ Int. Journal of Computational Methods and Experimental Measurements. 5(3) (2017) 317-328.

DOI: 10.2495/cmem-v5-n3-317-328

[15] V. Gnitko, Y. Naumemko, E. Strelnikova. Low Frequency Sloshing Analysis of Cylindrical Containers with Flat and Conical Baffles/ International Journal of Applied Mechanics and Engineering. 22(4) (2017) 867-881.

DOI: 10.1515/ijame-2017-0056

[16] O. Strelnikova, V. Gnitko, K. Degtyariov, A. Tonkonozhenko Advanced computational models and software on predicting the effective elastic properties for computer-simulated structures of nanocomposite. IEEE KhPI Week on Advanced Technology (KhPIWeek) (2020) 171-171.

DOI: 10.1109/khpiweek51551.2020.9250093

[17] M-T. Le, S-C. Huang. Modeling and Estimating the Effective Elastic Properties of Carbon Nanotube Reinforced Composites by Finite Element Method. J. Eng. Technol. Educ. 11(2) (2014) 145-158.

[18] R.E. Miller, V.B. Shenoy. Size-dependent elastic properties of nanosized structural elements Nanotechnology. 11.(2000) 139-147.

DOI: 10.1088/0957-4484/11/3/301

[19] W. Gao, S.W. Yu, G.Y. Huang. Finite element characterization of the size dependent mechanical behavior in nanosystems. Nanotechnology. 17 (2006) 1118-1122.

DOI: 10.1088/0957-4484/17/4/045

[20] M.Surianinov, V. Andronov, Y. Otrosh, T. Makovkina, S.Vasiukov. Concrete and fiber concrete impact strength. Materials Science Forum. 1006 MSF (2020) 101–106.

DOI: 10.4028/www.scientific.net/msf.1006.101

[21] H.H. Tulskyi, L.V. Liashok, H.S. Shevchenko, A.V. Vasilchenko, O.A. Stelmakh. Synthesis of functional nanocomposites based on aluminum oxides. Functional Materials, 26(4) (2019) 718-722.