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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
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)
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)
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
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)
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)
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)
Sundaram, B.M., Tippur, H.V.: Dynamic mixed-mode fracture behaviors of PMMA and polycarbonate. Eng. Fract. Mech. 176, 186–212 (2017)
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
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)
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)
Acknowledgement
Support for this research through Army Research Office grants W911NF-16-1-0093 and W911NF-15-1-0357 (DURIP) are gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Miao, C., Tippur, H.V. (2019). Quantitative Visualization of Sub-Micron Deformations and Stresses at Sub-Microsecond Intervals in Soda-Lime Glass Plates. In: Kimberley, J., Lamberson, L., Mates, S. (eds) Dynamic Behavior of Materials, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-95089-1_57
Download citation
DOI: https://doi.org/10.1007/978-3-319-95089-1_57
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-95088-4
Online ISBN: 978-3-319-95089-1
eBook Packages: EngineeringEngineering (R0)