534.13; 539.37

laminated glass, impact loading, polyvinyl butyral interlayer, mesh-size convergence, explicit dynamics, dynamic deformed state.

The study presents the results of analysis of the laminated glasses composites dynamic state under impact loading. The paper investigates modelling of a rigid ball drop on laminated glasses with different thicknesses of polyvinyl butyral (PVB) interlayers. The aim of the paper is to study the dependence of laminated glasses dynamic deformation on the velocity of free ball fall. The study performs computations using a finite element method (FEM) in modern computer-aided engineering (CAE) software within a 3D modelling and explicit dynamics approach. The investigation includes a mesh-size convergence analysis. The work carries out the dynamic strains and stress state analysis in laminated glasses under different loading conditions.

1. Astanіn V. V., Borodachov M. M., Bogdan S. YU. Analіz napruzheno-deformovanogo stanu plastini v umovah udarnogo navantazhennya. Vіsnik NAU, no. 3–4, 2007, pp. 63–77. [In Ukrainian].
2. Smetankіna N. V, Ugrіmov S. V, SHupіkov O. M. Matematichne modelyuvannya procesu nestacіonarnogo deformuvannya bagatosharovogo osklіnnya pri rozpodіlenih ta lokalіzovanih silovih navantazhennyah. Vіsnik HNTU, no. 3 (58), 2016, pp. 408–413. [in Ukrainian].
3. Boriskina I. V., SHvedov N. V., Plotnikov A. A. Proektirovanie sovremennyh okonnyh sistem grazhdanskih zdanij. M.: ASV, 2000, 176 p. [In Russian].
4. Shupikov A. N., Ugrimov S. V., Smetankina N. V., Yareshchenko V. G., Onhirsky G. G., Ukolov V. P., Samoylenko V. F., Avramenko V. L. Bird dummy for investigating the bird-strike resistance of aircraft components. Journal of Aircraft. Vol. 50. No. 3, 2013, pp. 817–826.
5. Vedrtnam A., & Pawar S. J. (2017). Experimental and simulation studies on fracture of load. glass having polyvinyl butyral and ethyl vinyl acetate interlayers of different critical thicknesses due to impact Load Glass Technology: European Journal of Glass Science and Technology Part A, 58 (6), 2017, pp. 169–178. URL: https://doi.org/10.13036/17533546.58.6.005.
6. Morgan W. L. Manufacture and Characteristics of Laminated Glass. Industrial and Engineering Chemistry, 23 (5), 1931, pp. 505–508. URL: https://doi.org/10.1021/ie50257a008.
7. Vedrtnam A. & Pawar S. J. Laminated plate theories and fracture of laminated glass plate – A review. Engineering Fracture Mechanics, 186, 2017, pp. 316–330. URL: https://doi.org/10.1016/j.engfracmech. 2017.10.020.
8. Pidgurskyi I. (2018) Analysis of stress intensity factors obtained with the fem for surface semielliptical cracks in the zones of structural stress concentrators. Scientific Journal of TNTU (Tern.), vol. 90, no. 2,
   pp. 92–104.
9. Keller U. & Mortelmans H. Adhesion in Laminated Safety Glass – What makes it work? Glass Processing Days, 1999, pp. 13–16.
10. Vedrtnam A., Pawar S. J. Experimental and Simulation Studies on Fracture and Adhesion test of Laminated Glass. Engineering Fracture Mechanics. 2018. doi: https://doi.org/10.1016/j.engfracmech. 2017.12.044.
11. Yasniy P., Pyndus Y., Hud M. (2017) Methodology for the experimental research of reinforced cylindrical shell forced oscillations. Scientific Journal of TNTU (Tern.), vol. 86, no. 2, pp. 7–13.
12. Zhang X., Hao H. & Ma G. Laboratory test and numerical simulation of laminated glass window vulnerability to debris impact. Int. J. Impact Eng., 2013, 55, pp. 49–62.

1. Astanіn V. V., Borodachov M. M., Bogdan S. YU. Analіz napruzheno-deformovanogo stanu plastini v umovah udarnogo navantazhennya. Vіsnik NAU, no. 3–4, 2007, pp. 63–77. [In Ukrainian].
2. Smetankіna N. V, Ugrіmov S. V, SHupіkov O. M. Matematichne modelyuvannya procesu nestacіonarnogo deformuvannya bagatosharovogo osklіnnya pri rozpodіlenih ta lokalіzovanih silovih navantazhennyah. Vіsnik HNTU, no. 3 (58), 2016, pp. 408–413. [in Ukrainian].
3. Boriskina I. V., SHvedov N. V., Plotnikov A. A. Proektirovanie sovremennyh okonnyh sistem grazhdanskih zdanij. M.: ASV, 2000, 176 p. [In Russian].
4. Shupikov A. N., Ugrimov S. V., Smetankina N. V., Yareshchenko V. G., Onhirsky G. G., Ukolov V. P., Samoylenko V. F., Avramenko V. L. Bird dummy for investigating the bird-strike resistance of aircraft components. Journal of Aircraft. Vol. 50. No. 3, 2013, pp. 817–826.
5. Vedrtnam A., & Pawar S. J. (2017). Experimental and simulation studies on fracture of load. glass having polyvinyl butyral and ethyl vinyl acetate interlayers of different critical thicknesses due to impact Load Glass Technology: European Journal of Glass Science and Technology Part A, 58 (6), 2017, pp. 169–178. URL: https://doi.org/10.13036/17533546.58.6.005.
6. Morgan W. L. Manufacture and Characteristics of Laminated Glass. Industrial and Engineering Chemistry, 23 (5), 1931, pp. 505–508. URL: https://doi.org/10.1021/ie50257a008.
7. Vedrtnam A. & Pawar S. J. Laminated plate theories and fracture of laminated glass plate – A review. Engineering Fracture Mechanics, 186, 2017, pp. 316–330. URL: https://doi.org/10.1016/j.engfracmech. 2017.10.020.
8. Pidgurskyi I. (2018) Analysis of stress intensity factors obtained with the fem for surface semielliptical cracks in the zones of structural stress concentrators. Scientific Journal of TNTU (Tern.), vol. 90, no. 2,
   pp. 92–104.
9. Keller U. & Mortelmans H. Adhesion in Laminated Safety Glass – What makes it work? Glass Processing Days, 1999, pp. 13–16.
10. Vedrtnam A., Pawar S. J. Experimental and Simulation Studies on Fracture and Adhesion test of Laminated Glass. Engineering Fracture Mechanics. 2018. doi: https://doi.org/10.1016/j.engfracmech. 2017.12.044.
11. Yasniy P., Pyndus Y., Hud M. (2017) Methodology for the experimental research of reinforced cylindrical shell forced oscillations. Scientific Journal of TNTU (Tern.), vol. 86, no. 2, pp. 7–13.
12. Zhang X., Hao H. & Ma G. Laboratory test and numerical simulation of laminated glass window vulnerability to debris impact. Int. J. Impact Eng., 2013, 55, pp. 49–62.