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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2022, Volume 26, Number 1, Pages 48–61
DOI: https://doi.org/10.14498/vsgtu1886
(Mi vsgtu1886)
 

Mechanics of Solids

Modeling the process of equilibrium crack growth in a composite specimen from the standpoints of the postcritical deformation mechanics

V. E. Wildemann, A. I. Mugatarov

Perm National Research Polytechnic University, Perm, 614990, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: Ensuring the strength and safety of structures requires studying the issues of crack initiation and equilibrium growth. An analogy between the approaches of phenomenological fracture mechanics, which is based on the complete deformation diagrams usage, and crack propagation mechanics is noted. The applying of previously developed postcritical deformation mechanics models, which describes accompanied by softening equilibrium damage accumulation processes, is advisable. On the example of the numerical, with cohesive elements using, simulation of composite specimen interlayer fracture, the realization of the material deformation complete diagram near the crack tip is demonstrated. The calculated loading diagrams are constructed, the points of the postcritical deformation zone initiation and the beginning of crack growth are shown. Relations between softening modulus value and maximum values of load, crack opening and length are revealed. The influence of the loading system rigidity is noted. It is concluded that consideration of the constructions deformation and fracture processes modeling problems using cohesive elements from the postcritical mechanics deformation standpoints is expedient.
Keywords: postcritical deformation, cohesive element, composite, equilibrium crack growth.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation ФСНМ-2020-0027
Investigation of the composite specimen for rupture between layers deformation process within the framework of a cohesive model of cracks was conducted within the State Assignment of the Ministry of Science and Higher Education of the Russian Federation (no. FSNM–2020–0027).
Received: September 30, 2021
Revised: January 12, 2022
Accepted: January 24, 2022
First online: March 31, 2022
Bibliographic databases:
Document Type: Article
UDC: 539.421
MSC: 74R20
Language: Russian
Citation: V. E. Wildemann, A. I. Mugatarov, “Modeling the process of equilibrium crack growth in a composite specimen from the standpoints of the postcritical deformation mechanics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 26:1 (2022), 48–61
Citation in format AMSBIB
\Bibitem{VilMug22}
\by V.~E.~Wildemann, A.~I.~Mugatarov
\paper Modeling the process of equilibrium crack growth in~a~composite specimen from the standpoints of~the~postcritical deformation mechanics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2022
\vol 26
\issue 1
\pages 48--61
\mathnet{http://mi.mathnet.ru/vsgtu1886}
\crossref{https://doi.org/10.14498/vsgtu1886}
\elib{https://elibrary.ru/item.asp?id=48308997}
\edn{https://elibrary.ru/DWDLIJ}
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    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :148
    References:40
     
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