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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2022 Volume 26, Number 1, Pages 48–61 (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

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.

UDC: 539.421

MSC: 74R20

Received: September 30, 2021
Revised: January 12, 2022
Accepted: January 24, 2022
First online: March 31, 2022

DOI: 10.14498/vsgtu1886



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