Nearsurface buckling in laminate composite material with imperfect interlayer contact




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


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.


Download data is not yet available.


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.

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).

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.

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.



How to Cite

Bystrov В. ., Dekret В. ., & Zelenskiy В. . (2022). Nearsurface buckling in laminate composite material with imperfect interlayer contact. Reports of the National Academy of Sciences of Ukraine, (6), 28–35.