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Quantitative Visualization of Sub-Micron Deformations and Stresses at Sub-Microsecond Intervals in Soda-Lime Glass Plates

  • Chengyun Miao
  • Hareesh V. TippurEmail author
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

Full-field optical measurement of deformations and stresses on transparent brittle ceramics such as soda-lime glass is rather challenging due to the low toughness and high stiffness characteristics. Particularly, the surface topography and stress field evaluation from measured orthogonal surface slopes and stress gradients could be of considerable significance for visualizing and quantifying deformation of glass plates under dynamic impact loading. In this work, two full-field optical techniques, reflection Digital Gradient Sensing (or r-DGS) and a new DGS method, called transmission-reflection Digital Gradient Sensing (or tr-DGS) are employed to quantify surface slopes and stress gradients, respectively, as glass specimens are subjected dynamic impact loading using a modified Hopkinson pressure bar. These two methods can measure extremely small angular deflections of light rays caused by surface deformations and local stresses in specimens. The tr-DGS methodology is especially more sensitive than r-DGS. Using such optical methods, sub-micron surface deflections and the corresponding stress field, (σxx + σyy), can be quantified using a Higher-order Finite-difference-based Least-squares Integration (HFLI) scheme. When used in conjunction with ultrahigh-speed photography, microsecond or sub-microsecond temporal resolution is possible.

Keywords

Digital gradient sensing Dynamic impact loading Transparent brittle ceramics Deflections and stresses Ultrahigh-speed photography 

Notes

Acknowledgement

Support for this research through Army Research Office grants W911NF-16-1-0093 and W911NF-15-1-0357 (DURIP) are gratefully acknowledged.

References

  1. 1.
    Periasamy, C., Tippur, H.V.: Full-field digital gradient sensing method for evaluating stress gradients in transparent solids. Appl. Opt. 51(12), 2088–2097 (2012)CrossRefGoogle Scholar
  2. 2.
    Periasamy, C., Tippur, H.V.: A full-field reflection-mode digital gradient sensing method for measuring orthogonal slopes and curvatures of thin structures. Meas. Sci. Technol. 24, 025202 (2013)CrossRefGoogle Scholar
  3. 3.
    Miao, C., Sundaram, B.M., Huang, L., Tippur, H.V.: Surface profile and stress field evaluation using digital gradient sensing method. Meas. Sci. Technol. 27, 095203 (2016)CrossRefGoogle Scholar
  4. 4.
    Miao, C., Tippur, H.: Measurement of orthogonal surface gradients and reconstruction of surface topography from digital gradient sensing method. In: Advancement of Optical Methods in Experimental Mechanics, pp. 203–206. Springer, Cham (2017)Google Scholar
  5. 5.
    Miao, C., Tippur, H.V.: Measurement of sub-micron deformations and stresses at microsecond intervals in laterally impacted composite plates using digital gradient sensing. J. Dyn. Behav. Mater. 1–23 (2018).  https://doi.org/10.1007/s40870-018-0156-4 CrossRefGoogle Scholar
  6. 6.
    Miao, C., Tippur, H.V.: Higher sensitivity digital gradient sensing configurations for quantitative visualization of stress gradients in transparent solids. Opt. Lasers Eng. 108, 54–67 (2018)CrossRefGoogle Scholar
  7. 7.
    Sundaram, B.M., Tippur, H.V.: Dynamic crack growth Normal to an Interface in bi-layered materials: an experimental study using digital gradient sensing technique. Exp. Mech. 56, 37–57 (2015)CrossRefGoogle Scholar
  8. 8.
    Sundaram, B.M., Tippur, H.V.: Dynamics of crack penetration vs. branching at a weak interface: an experimental study. J. Mech. Phys. Solids. 96, 312–332 (2016)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Sundaram, B.M., Tippur, H.V.: Dynamic mixed-mode fracture behaviors of PMMA and polycarbonate. Eng. Fract. Mech. 176, 186–212 (2017)CrossRefGoogle Scholar
  10. 10.
    Sundaram, B.M., Tippur, H.V.: Dynamic fracture of soda-lime glass: a full-field optical investigation of crack initiation, propagation and branching. J. Mech. Phys. Solids. (2018).  https://doi.org/10.1016/j.jmps.2018.04.010 CrossRefGoogle Scholar
  11. 11.
    Sundaram, B.M., Tippur, H.V.: Full-field measurement of contact-point and crack-tip deformations in soda-lime glass. Part-I: quasi-static loading. Int. J. Appl. Glas. Sci. 9, 114–122 (2018)CrossRefGoogle Scholar
  12. 12.
    Sundaram, B.M., Tippur, H.V.: Full-field measurement of contact-point and crack-tip deformations in soda-lime glass. Part-II: stress wave loading. Int. J. Appl. Glas. Sci. 9, 123–136 (2018)CrossRefGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringAuburn UniversityAuburnUSA

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