Semenov A.A.
1, Beltukov Y.M.
11Ioffe Institute, St. Petersburg, Russia
Email: yaroslav.beltukov@mail.ioffe.ru
This work is devoted to the theoretical study of the elastic properties of nanocomposites with an amorphous matrix, taking into account its strong local heterogeneity. The dependence of the stiffness of the nanocomposite on parameters such as the thickness of the amorphous layer, the scale of heterogeneity of the amorphous matrix, the radius of inclusions, and the distance between them is investigated. It is shown that the heterogeneity of the amorphous matrix leads to an increase in its elastic moduli near the interfaces with stiffer layers and inclusions. This results in an increase in the elastic moduli of the composite as a whole, which is determined by the ratio of the heterogeneity length scale of the amorphous matrix to the characteristic geometric size of the composite, which can be either the thickness of the amorphous layer or the radius of the nanoparticles. Keywords: amorphous materials, nanocomposites, elasticity theory.
- Handbook of Composites, 2nd ed. / S.T. Peters, editor. Springer US, Boston, MA (1998)
- T.W. Clyne, D. Hull. An Introduction to Composite Materials, 3rd ed. Cambridge University Press (2019)
- Y.W. Mai, Z.Z. Yu. Polymer Nanocomposites. Elsevier Science (2006)
- E.T. Thostenson, T.-W. Chou. J. Phys. D: Appl. Phys. 36, 573 (2003)
- M.A. Rafiee, J. Rafiee, Z. Wang, H. Song, Z.-Z. Yu, N. Koratkar. ACS Nano 3, 3884 (2009)
- A. Mesbah, F. Zairi, S. Boutaleb, J.-M. Gloaguen, M. Nait-Abdelaziz, S. Xie, T. Boukharouba, J.-M. Lefebvre. J. Appl. Polym. Sci. 114, 3274 (2009)
- The Physics of Glassy Polymers / R.N. Haward, R.J. Young, ed. Springer Netherlands, Dordrecht (1997)
- T.A. Osswald, G. Menges. Material Science of Polymers for Engineers, 3rd ed. Hanser, Munich (2012)
- Polymer Glasses / C.B. Roth, editor. CRC Press, Boca Raton (2017)
- S.-Y. Fu, X.-Q. Feng, B. Lauke, Y.-W. Mai. Compos. B: Eng. 39, 933 (2008)
- Y. Ou, F. Yang, Z.-Z. Yu. J. Polym. Sci. B: Polym. Phys. 36, 789 (1998)
- H. Wang, Y. Bai, S. Liu, J. Wu, C.P. Wong. Acta Mater. 50, 4369 (2002)
- B. Wetzel, F. Haupert, M.Q. Zhang. Compos. Sci. Technol. 63, 2055 (2003)
- V.A. Bershtein, O.P. Grigoryeva, P.N. Yakushev, A.M. Fainleib. Polym. Compos. (2021)
- D. Stojanovic, A. Orlovic, S. Markovic, V. Radmilovic, P.S. Uskokovic, R. Aleksic. J. Mater. Sci. 44, 6223 (2009)
- P.W. Anderson. Science 267, 1615 (1995)
- C.A. Angell. Proc. Natl. Acad. Sci. 92, 6675 (1995)
- K.L. Ngai. J. Non-Cryst. Solids 353, 709 (2007)
- G.B. McKenna, S.L. Simon. Macromolecules 50, 6333 (2017)
- J. Kang, X. Yang, Q. Hu, Z. Cai, L.-M. Liu, L. Guo. Chem. Rev. 123, 8859 (2023)
- K. Yoshimoto, T.S. Jain, K. Van Workum, P.F. Nealey, J.J. de Pablo. Phys. Rev. Lett. 93, 175501 (2004)
- M. Tsamados, A. Tanguy, C. Goldenberg, J.-L. Barrat. Phys. Rev. E 80, 026112 (2009)
- H. Wagner, D. Bedorf, S. Kuechemann, M. Schwabe, B. Zhang, W. Arnold, K. Samwer. Nat. Mater. 10, 439 (2011)
- H. Mizuno, S. Mossa, J.-L. Barrat. Phys. Rev. E 87, 042306 (2013)
- R. Jana, L. Pastewka. J. Phys. Materials 2, 045006 (2019)
- Q. Wen, A. Basu, P.A. Janmey, A.G. Yodh. Soft Matter. 8, 8039 (2012)
- E. Del Gado, P. Ilg, M. Kroger, H.C. Ottinger. Phys. Rev. Lett. 101, 095501 (2008)
- C. Goldenberg, A. Tanguy, J.-L. Barrat. Europhysics Lett. 80, 16003 (2007)
- F. Leonforte, A. Tanguy, J. Wittmer, J.-L. Barrat. Phys. Rev. Lett. 97, 055501 (2006)
- F. Leonforte, R. Boissi\`ere, A. Tanguy, J. Wittmer, J.-L. Barrat. Phys. Rev. B 72, 224206 (2005)
- A. Tanguy, J.P. Wittmer, F. Leonforte, J.-L. Barrat. Phys. Rev. B 66, 174205 (2002)
- G.M. Odegard, T.C. Clancy, T.S. Gates. Polymer 46, 553 (2005)
- F. Bondioli, V. Cannillo, E. Fabbri, M. Messori. J. Appl. Polym. Sci. 97, 2382 (2005)
- S. Saber-Samandari, A. Afaghi-Khatibi. Polym. Compos. 28, 405 (2007)
- R. Qiao, L.C. Brinson. Compos. Sci. Technol. 69, 491 (2009)
- H.W. Wang, H.W. Zhou, R.D. Peng, L. Mishnaevsky Jr. Compos. Sci. Technol. 71, 980 (2011)
- J. Amraei, J.E. Jam, B. Arab, R.D. Firouz-Abadi. J. Compos. Mater. 53, 1261 (2019)
- M. Bazmara, M. Silani, I. Dayyani. Def. Technol. 17, 177 (2021)
- P.F. Brune, G.S. Blackman, T. Diehl, J.S. Meth, D. Brill, Y. Tao, J. Thornton. Macromolecules 49, 4909 (2016)
- N. Ning, T. Mi, G. Chu, L.-Q. Zhang, L. Liu, M. Tian, H.-T. Yu, Y.-L. Lu. Eur. Polym. J. 102, 10 (2018)
- C. Tian, Y. Feng, G. Chu, Y. Lu, C. Miao, N. Ning, L. Zhang, M. Tian. Compos. B Eng. 193, 108048 (2020)
- C. Tian, J. Cui, N. Ning, L. Zhang, M. Tian. Compos. Sci. Technol. 222, 109367 (2022)
- C. Tian, G. Chu, Y. Feng, Y. Lu, C. Miao, N. Ning, L. Zhang, M. Tian. Compos. Sci. Technol. 170, 1 (2019)
- J. Fankhanel, B. Arash, R. Rolfes. Compos. B Eng. 176, 107211 (2019)
- Y.M. Beltukov, D.A. Conyuh, I.A. Solov'yov. Phys. Rev. E 105, L012501 (2022)
- M. Barakat, H. Reda, P. Katsamba, H. Shraim, V. Harmandaris. Mech. Mater. 197, 105082 (2024)
- D. Conyuh, A. Semenov, Y. Beltukov. Phys. Rev. E 108, 045004 (2023)
- Y.M. Beltukov, D.A. Parshin. J. Solid State 53, 142 (2011)
- Y.M. Beltukov, V.I. Kozub, D.A. Parshin. Phys. Rev. B 87, 134203 (2013)
- T. Mori, K. Tanaka. Acta Metall. 21, 571 (1973)
- Y. Benveniste. Mech. Mater. 6, 147 (1987)
- A.A. Semenov, Y.M. Beltukov. Int. J. Solids and Struct. 191-192, 333 (2020)
- M.S. Aln s, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg, C. Richardson, J. Ring, M.E. Rognes, G.N. Wells. Archive of Numerical Software 3, 9 (2015).
Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.
Дата начала обработки статистических данных - 27 января 2016 г.