Nearsurface buckling in laminate composite material with imperfect interlayer contact

Authors

DOI:

https://doi.org/10.15407/dopovidi2022.06.028

Keywords:

layered composite material, surface load, imperfect contact, macrocrack, buckling mode, critical load, grid method, parallel computing

Abstract

Using the basic relations of the three-dimensional linearized theory of stability within the model of a piecewisehomogeneous medium, a solution is obtained for the problem of stability of a layered composite material under compression by a surface load along the reinforcement direction. The case of imperfect contact between layers is considered, which is modeled by a periodic system of macrocracks in the form of a mathematical section for the stress-free crack surfaces. A calculation model is used for the boundary conditions on the sides of a multilayer sample made of a composite material that meet the symmetry conditions. The influence of the crack size on the damping of near-surface buckling modes and critical loads is studied. For the numerical solution of the problem, the grid method based on a modified variational-difference approach was used. Within the framework of the computational experiment, serial and parallel algorithms of the Cholesky methods and subspace iteration were applied.

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References

Guz, A. N. (2008). Fundamentals of the compressive fracture mechanics of composites. Edition in 2 vulumes (Vol. 1. Fracture in structure of materials. Vol. 2. Related mechanisms of fracture. ) Kyiv: LITERA (in Russian).

Guz, A. N. (2019). Nonclassical Problems of Fracture/Failure Mechanics: On the Occasion of the 50th Anniversary of Research (Review). II. Int. Appl. Mech., 55, Nо. 3, pp. 239-295. https://doi.org/10.1007/s10778-019-00954-2

Guz, A. N., Bogdanov, V. L. & Nazarenko, V. M. (2020). Fracture of Materials Under Compression Along Cracks. Advanced Structured Materials, Vol. 138. Cham: Springer Nature Switzerland AG.

Guz, A. N. (1986). Fundamentals of three-dimensional theory of stability of deformable bodies. Kyiv: Vysha Shkola (in Russian).

Guz, A. N. (1999). Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies. Berlin: Springer-Verlag Heilberg.

Guz, A. N. & Kokhanenko Yu. V. (2001). Numerical Solution of Three-Dimentional Stability Problems for Elastic Bodies. Int. Appl. Mech., 37, Nо. 11, pp. 1369-1399.

Bystrov, V. M., Dekret, V. A. & Zelenskii, V. S. (2017). Loss of Stability in a Composite Laminate Compressed by a Surface Load. Int. Appl. Mech., 53, No. 2, pp. 156-163.

Bystrov, V. M. (2019). End effect and near-surface buckling in a laminate composite material compressed by a surface load. Dopov. Nac. akad. nauk Ukr., No. 10, pp. 29-37 (in Russian). https://doi.org/10.15407/dopovidi2019.10.029

Guz, I. A. (1998). Composites with interlaminar imperfections: substantiation of the bounds for failure parameters in compression. Compos Part B., 29, No. 4, pp. 343-350.

Soutis, C. & Guz, I. A. (2006). Fracture of layered composites by internal fibre instability: Effect of interfacial adhesion. Aeronout J., 110, No. 1105, pp. 185-195.

Guz, I. A., Menshykova, M. & Soutis, C. (2016). Internal instability as a possible failure mechanism for layered composites. Phil. Trans. R. Soc., A 374., pp. 1841-1847. https://doi.org/10.1098/rsta.2016.0019

Grygorenko, Ya. M., Shevchenko, Yu. N., Vasilenko, A. T. et al. (2002). Computaional methods. Mechanics of composites: In 12 volumes. Editor-in-Chief A. N. Guz. Vol. 11. Kyiv: A. S. K. (in Russian).

Pissanetzky, S. (1984). Sparse Matrix Technology. London: Academic Press (in Russian).

Khimich, A. N., Molchanov, I. N., Popov, A. V., Chistyakova, T. V. & Yakovlev, M. F. (2008). Parallel Algorithms for Solving Problems of Computational Mathematics. Kyiv: Naukova Dumka (in Russian).

Dekret, V. A., Bystrov, V. M. & Zelenskiy, V. S. (2021). Numerical analysis of the buckling of near-surface short fibers in a weakly reinforced composite material. Int. Appl. Mech., 57, Nо. 11, pp. 687-699. https://doi.org/10.1007/s10778-022-01118-5

Published

21.12.2022

How to Cite

Bystrov, V. ., Dekret, V. ., & Zelenskiy, V. . (2022). Nearsurface buckling in laminate composite material with imperfect interlayer contact. Reports of the National Academy of Sciences of Ukraine, (6), 28–35. https://doi.org/10.15407/dopovidi2022.06.028