Mathematical Modeling of the Reliability of Polymer Composite Materials

Madina E. Isametova, Rollan Nussipali, Nikita V. Martyushev (), Boris V. Malozyomov, Egor A. Efremenkov and Aysen Isametov
Additional contact information
Madina E. Isametova: Department of Mechanical Engineering, Institute of Energy and Mechanical Engineering, Satbayev University, Almaty KZ-050000, Kazakhstan
Rollan Nussipali: Department of Mechanical Engineering, Institute of Energy and Mechanical Engineering, Satbayev University, Almaty KZ-050000, Kazakhstan
Nikita V. Martyushev: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia
Boris V. Malozyomov: Department of Electrotechnical Complexes, Novosibirsk State Technical University, 20, Karla Marksa Ave., 630073 Novosibirsk, Russia
Egor A. Efremenkov: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia
Aysen Isametov: Department of Mechanical Engineering, Institute of Energy and Mechanical Engineering, Satbayev University, Almaty KZ-050000, Kazakhstan

Mathematics, 2022, vol. 10, issue 21, 1-19

Abstract: An urgent task in creating and using composite materials is the assessment and prediction of their performance properties and reliability. Currently, when studying the reliability of the materials, there is little experimental data, mathematical descriptions, and models for both probabilistic and deterministic methods to assess reliability. Based on the obtained experimental data, this article discusses the development of a methodology for predicting reliability. The article also proposes a statistical model for assessing reliability by the criterion of the structural strength of products made of polymer composite materials. The characteristics of the reliability changes in the materials when in operation are presented. The calculation allowed obtaining graphs showing the dispersion and statistical variability of the characteristics of polypropylene-based polymeric materials at the design, production, and operation stages of the product life cycle. The computational experimental results for determining the influence of the shape of inclusions and mass on the mechanical properties of a polymer composite material aimed at improving the strength characteristics of the products are presented. Based on a computational experiment in the MSC Digimat MF nonlinear solver, equations are provided to demonstrate the regression dependence of the strength of a part made of a polymer composite material on technological factors.

Keywords: modeling; mathematical methods; reliability of materials and structures; statistical characteristics; composite materials; polymeric materials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/21/3978/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/21/3978/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:21:p:3978-:d:953971

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().