Bending Strength of Glass Materials under Strong Dynamic Impact and Its Strain Rate Effects

Abstract

Based on the structural characteristics of the high-speed loading tester, a four-point bending test device was designed to carry out the four-point bending strength test of glass under the action of static load and different impact velocities, and the formulae for calculating the maximum dynamic stress and strain rate of glass specimens under the action of impact loads were derived. The experimental results show that the bending strength values of the glass under dynamic impact loading are all higher than those under static loading. With the increase of impact speed, the bending strength value of glass specimens generally tends to increase, and the bending strength value increases more obviously when the impact speed exceeds 0.5 m/s or higher. By increasing the impact velocity, higher tensile strain rate of glass specimens can be obtained because the load action time becomes shorter. The bending strength of the glass material increases with its tensile strain rate, and when the tensile strain rate is between 0 and 2 s⁻¹, the bending strength of the glass specimen grows more obviously with the strain rate, indicating that the glass bending strength is particularly sensitive to the tensile strain rate in this interval. As the strain rate increases, the number of cracks formed after glass breakage increases significantly, thus requiring more energy to drive the crack formation and expansion, and showing the strain rate effect of bending strength at the macroscopic level. The results of the study can provide a reference for the load bearing and structural design of glass materials under dynamic loading.

Keywords

glass materials / strong dynamic impact / bending strength / strain rate effect / dynamic enhancement factor

References

[1] Dar UA, Zhang W, Xu Y, et al. Analysis of Dynamic Response of Aircraft Windshield against Bird Impact[J]. International Journal of Aerospace Engineering, 2013, 5: 1-12

[2] Wang L, Luo J, Gao L, et al. The Low of Transient Pressure in the Process of 350 km/h High-speed Train Entering a Tunnel[J]. China Civil Engineering Journal, 2020, 53: 252-257

[3] Liu XG, Qi S, Wan DT, et al. Study on Dynamic Response of Highspeed Train Window Glass Under Tunnel Aerodynamic[J]. China Railway Science, 2022, 43: 105-113

[4] Xu TY, Zou XM. Impact Dynamics[M], 2011, Beijing: Ttsinghua University Press 45-60

[5] Li L, An EF, Yang J. Strain Rate Dependent Dynamic Constitutive Equation of Float Glass[J]. Journal of Building Materials, 2011, 14: 202-206

[6] Wang Z, Zhang C, Wang Y, et al. Mechanical Behaviors of Aeronautical Inorganic Glass at Different Strain Rates[J]. Explosion and Shock Waves, 2018, 38: 295-301

[7] Muhammad ZS, Wang Z, Du B, et al. Static and Dynamic Brazilian Disk Tests for Mechanical Characterization of Annealed and Chemically Strengthened Glass[J]. Ceramics International, 2019, 45: 7 931-7 944

[8] Muhammad ZS, Wang Z, Tao S, et al. High Rate Response and Dynamic Failure of Aluminosilicate Glass under Compression Loading[J]. Procedia Structural Integrity, 2018, 13: 1 244-1 249

[9] Tan SZ, Yao XH, Zhang XQ, et al. Static and Dynamic Strength of Soda-lime Glass under Combined Compression-shear Loading[J]. Journal of Non- Crystalline Solids, 2019, 516: 14-25

[10] Nie X, Chen WN, Sun X, et al. Dynamic Failure of Borosilicate Glass under Compression/Shear Loading Experiments[J]. Journal of the American Ceramic Society, 2007, 90: 2 556-2 562

[11] Peng T, Ma W, Wang SM, et al. Investigation of the Fracture Behaviors of Windshield Laminated Glass Used in High-speed Trains[J]. Composite Structures, 2019, 207: 29-40

[12] Zhang XH, Zou Y, Hao H, et al. Laboratory Test on Dynamic Material Properties of Annealed Float Glass[J]. International Journal of Protective Structures, 2012, 3: 407-430

[13] Zhang XH, Hao H, Ma GW. Dynamic Material Model of Snnealed Soda-lime Glass[J]. International Journal of Impact Engineering, 2015, 77: 108-119

[14] Daryadel, Seyed S, Mantena PR, et al. Dynamic Response of Glass under Low-velocity Impact and High Strain-rate SHPB Compression Loading[J]. Journal of Non-Crystalline Solids, 2016, 432: 432-439

[15] Peroni M, Solomos G, Pizzinato V, et al. Experimental Investigation of High Strain-rate Behavior of Glass[J]. Applied Mechanics and Materials, 2011, 82: 63-68

[16] Wang Z, Hu ZB, Sou T, et al. A Comparative Study on The Effect of Loading Speed and Surface Scratches on the Flexural Strength of Aluminosilicate Glass: Annealed vs. Chemically Strengthened[J]. Ceramics International, 2018, 44: 11 239-11 256

[17] Mohagheghian I, Wang Y, Jiang L, et al. Quasi-static Bending, and Low Velocity Impact Performance of Monolithic and Laminated Glass Windows Employing Chemically Strengthened Glass[J]. European Journal of Mechanics - A, Solids, 2017, 63: 165-186

[18] René G. Ion Exchange for Glass Strengthening[M]. Materials Science & Engineering B, 2008, 149: 159-165

[19] Ak V. Chemical Strengthening of Glass:Lessons Learned and Yet to Be Learned[J]. International Journal of Applied Glass Science, 2010, 1: 131-142

[20] Kakizaki H, Takahashi Y, Zako M, et al. The Effect of Single-side Ion Exchange on the Flexural Strength of Plain and Holed Float Glass[J]. European Journal of Glass Science & Technology Part A Glass Technology, 2012, 54: 66-71

[21] GB/T 37781-2019 Test Method for Flexural Strength of Glass Materials[S], 2019, Beijing: Noel Standards Press of China

[22] Noel J. An Encyclopedia of Engineering Mechanics[M], 1997, Beijing: Higher Education Press 45-47