Experimental and numerical investigations of full-field strain measurement and fracture parameter of lead-free solder using DIC technique
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/14397Keywords:
lead-free solder, digital image correlation, plastic zone, fractureAbstract
In this study, rupture of notched SENT specimens fabricated from a novel lead-free solder alloy is investigated. The lead-free solder alloy, focused on in this study, is particularly used as interconnect material in power modules of electric vehicles. Its commercial denomination is InnoLot and it can be used in harsh environments thanks to its improved reliability. Up to now, studies on their resistance to rupture remain relatively limited. Yet the comprehension of fracture behavior is essential for the correct design of the electronic packages which must be robust against fatigue and vibrations loads. The tests are performed with the help of a micro-tensile testing machine equipped with an optical system for full-field measurements with Digital Image Correlation. The images are taken at successive steps of deformation and the displacement field is measured in a region of interest which is the singularity dominated zone surrounding the plastic zone at the crack tip. The procedure consists then in comparing the measured field with the theoretical field given by the Williams' solution. The stress intensity factor is calculated by fitting the analytical fields to the experimental data. The effects of the size and shape of the zone of data collection, as well as that of the number of terms considered in the Williams's expansion series, are examined in the study. A method is also proposed for the automatic crack tip detection. From these finding, it is easy to predict the crack propagation and failure mechanism of solder joint. In addition, the theoretical solution of displacement, given by the Williams series, is compared with measurements to identify the coefficients of these series, including the stress intensity factor. Finally, a 5-order truncation of the Williams series seems sufficient to obtain a correct estimate of the stress intensity factor.
Downloads
References
L. Zhang, S.-b. Xue, L.-l. Gao, G. Zeng, Z. Sheng, Y. Chen, and S.-l. Yu. Effects of rare earths on properties and microstructures of lead-free solder alloys. Journal of Materials Science: Materials in Electronics, 20, (8), (2009), pp. 685–694. https://doi.org/10.1007/s10854-009-9895-2.
A. E. Hammad. Evolution of microstructure, thermal and creep properties of Ni-doped Sn–0.5 Ag–0.7 Cu low-Ag solder alloys for electronic applications. Materials & Design, 52, (2013), pp. 663–670. https://doi.org/10.1016/j.matdes.2013.05.102.
M. H. Mahdavifard, M. F. M. Sabri, D. A. Shnawah, S. M. Said, I. A. Badruddin, and S. Rozali. The effect of iron and bismuth addition on the microstructural, mechanical, and thermal properties of Sn–1Ag–0.5 Cu solder alloy. Microelectronics Reliability, 55, (9-10), (2015), pp. 1886–1890. https://doi.org/10.1016/j.microrel.2015.06.134.
Q. B. Tao, L. Benabou, V. N. Le, H. Hwang, and D. B. Luu. Viscoplastic characterization and post-rupture microanalysis of a novel lead-free solder with small additions of Bi, Sb and Ni. Journal of Alloys and Compounds, 694, (2017), pp. 892–904. https://doi.org/10.1016/j.jallcom.2016.10.025.
Q. B. Tao, L. Benabou, L. Vivet, V. N. Le, and F. B. Ouezdou. Effect of Ni and Sb additions and testing conditions on the mechanical properties and microstructures of lead-free solder joints. Materials Science and Engineering: A, 669, (2016), pp. 403–416. https://doi.org/10.1016/j.msea.2016.05.102.
M. Mokhtari, P. Lopez-Crespo, B. Moreno, and M. Zanganeh. Some experimental observations of crack-tip mechanics with displacement data. Frattura ed Integrita Strutturale, 9, (33), (2015), pp. 143–150. https://doi.org/10.3221/igf-esis.33.18.
F. Hild and S. Roux. Measuring stress intensity factors with a camera: Integrated digital image correlation (I-DIC). Comptes Rendus Mécanique, 334, (1), (2006), pp. 8–12. https://doi.org/10.1016/j.crme.2005.11.002.
Y. Niu, H. Lee, and S. Park. A new in-situ warpage measurement of a wafer with speckle-free digital image correlation (DIC) method. In 2015 IEEE 65th Electronic Components and Technology Conference (ECTC), (2015), pp. 425–431.
M. A. Sutton, C. Mingqi, W. H. Peters, Y. J. Chao, and S. R. McNeill. Application of an optimized digital correlation method to planar deformation analysis. Image and Vision Computing, 4, (3), (1986), pp. 143–150. https://doi.org/10.1016/0262-8856(86)90057-0.
M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeill. Determination of displacements using an improved digital correlation method. Image and Vision Computing, 1, (3), (1983), pp. 133–139. https://doi.org/10.1016/0262-8856(83)90064-1.
M. L. Williams. On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics, 24, (1957), pp. 109–114.
L. Benabou and Q. B. Tao. Development and first assessment of a DIC system for a microtensile tester used for solder characterization. Experimental Techniques, 41, (3), (2017), pp. 317–326. https://doi.org/10.1007/s40799-017-0175-4.
J. Blaber, B. Adair, and A. Antoniou. Ncorr: open-source 2D digital image correlation matlab software. Experimental Mechanics, 55, (6), (2015), pp. 1105–1122. https://doi.org/10.1007/s11340-015-0009-1.
Q. B. Tao, L. Benabou, L. Vivet, K. L. Tan, J. M. Morelle, V. N. Le, and F. Ben Ouezdou. A design of a new miniature device for solder joints’ mechanical properties evaluation. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231, (20), (2017), pp. 3818–3830, https://doi.org/10.1177/0954406216654728.
S. McNeill, W. Peters, and M. Sutton. Estimation of stress intensity factor by digital image correlation. Engineering Fracture Mechanics, 28, (1), (1987), pp. 101–112. https://doi.org/10.1016/0013-7944(87)90124-x.
P. L. Reu, B. R. Rogillio, and G. W. Wellman. Crack tip growth measurement using digital image correlation. In Experimental Analysis of Nano and Engineering Materials and Structures, pp. 555–556. (2007). https://doi.org/10.1007/978-1-4020-6239-1 275.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.