Thermal instability of nanocomposite structural elements under cyclic loading


  • Y. A. Zhuk Taras Shevchenko National University of Kyiv



The failure of nanocomposite structural elements due to the self-heatingunder harmonic loading is investigated. The technique of the nanocomposite structural element life prediction is elaborated with accounting for the influence of dissipative heating and volume fraction of nanofibers on mechanical stability of polymeric nanocomposite rod subjected to both static and monoharmonic loading that are based on the concept of temperature and amplitude dependent complex moduli. In this regard, special modified homogenization procedure based on the Mori-Tanaka method is designed with taking into account the effects of interface on response of nanocomposite material to derive the complex moduli for the nanocomposite with either random or unidirectional orientation of nanofibers.Complex moduli approach is used to formulate the approximate (single frequency approximation) problem statement. The problem is solved numerically. Influence of carbon nanotube fiber volume fraction on the high cycle fatigue behavior for the nanocomposite rod with both randomly and unidirectionally oriented nanofibers is estimated. It is found that volume fraction of nanofibers affects significantly the temperature level and, thus, fatigue life of nanocomposite element. The approach presented in this paper can be useful to understanding of the cyclic behavior of viscoelastic structures and investigations of the fatigue with taking into account the vibro-heating effect due to the mechanical energy dissipation.

Key words: nanocomposite, thermal instability, dissipative heating.

Pages of the article in the issue: 46-49

Language of the article: Ukrainian


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How to Cite

Zhuk, Y. A. (2019). Thermal instability of nanocomposite structural elements under cyclic loading. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 46–49.



Differential equations, mathematical physics and mechanics