Issue 47

M. Fallah Tafti et alii, Frattura ed Integrità Strutturale, 47 (2019) 169-185; DOI: 10.3221/IGF-ESIS.47.14

[21] Ayatollahi, M.R. and Aliha, M.R.M. (2007). Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading, Computational Materials Science, 38, pp. 660-670. [22] Mansurian, A. and Ayatollahi, M.R. (2012). Crack growth behavior in asphalt under the tensile- shear combination loads (in low temperature), Tehran: Transportation Research Institute of Iran University of Science and technology. [23] Braham, A., Buttlar, W. and Ni , F. (2010). Laboratory mixed- mode cracking of asphalt concrete using the single- edge notch beam, Road Materials and Pavement Design, 11, pp. 947-968. [24] Wagoner, M.P., Buttlar, W.G. and Paulino, G.H. (2005). Development of a single-edge notched beam test for asphalt concrete mixtures, Journal of Testing and Evaluation, 33, pp. 452-460. [25] Ayatollahi, M.R. and Aliha, M.R.M. (2008). On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials, Engineering Fracture Mechanics, 75(16), pp. 4631–4641. [26] Wagoner, M.P., Buttlar, W.G., Paulino, G.H. and Blankenship, P. (2005). Investigation of the fracture resistance of hot- mix asphalt concrete using a disk- shaped compact tension test, Transportation Research Records, 1929, pp. 183-192. [27] Kim, H., Wagoner, M.P.and Buttlar, W.G. (2009). Numerical fracture analysis on the specimen size dependency of asphalt concrete using a cohesive softening model, Construction and Building Materials, 23, pp. 2112-2120. [28] Behnia, B., Dave, E.V., Ahmed, S., Buttlar, W.G. and Reis, H. (2011). Effects of recycled asphalt pavement amounts on the low-temperature cracking performance of asphalt mixtures using acoustic emissions, Transportation Research Record, 2208, pp. 64-71. [29] Aliha, M.R.M., Bahmani, A. and Akhondi, S. (2014). Numerical analysis of a new mixed mode I/III fracture test specimen, Engineering Fracture Mechanics, 134, pp. 95-110. [30] Aliha, M.R.M., Bahmani, A., Akhondi, Sh. (2015). Determination of mode III fracture toughness for different materials using a new designed test configuration, Materials & Design, 86, pp. 863-871. [31] Aliha, M.R.M., Bahmani A. and Akhondi, S. (2016). A novel test specimen for investigating the mixed mode I/III fracture toughness of hot mix asphalt composites- Experimental and the oretical study, International Journal of Solids and Structures, 90, pp. 167-177. [32] Liu, J.H. (2011). Fatigue life evaluation of asphalt rubber mixtures using semi-circular bending test, Advanced Materials Research, 255, pp. 3444-3449. [33] Mohammad, L.N., Kim, M. and Elseifi M. (2012). Characterization of asphalt mixture’s fracture resistance using the semi-circular bending (SCB) test, 7th RILEM International Conference on Cracking in Pavements, 4, pp. 1-10. [34] Mirsayar, M., Shi, X. and Zollinger, D. (2017). Evaluation of interfacial bond strength between Portland cement concrete and asphalt concrete layers using bi-material SCB test specimen, Engineering Solid Mechanics, 5(4), pp. 293 306. [35] American Association of State Highway and Transportation Officials. (2013). The standard method for determining the fracture energy of asphalt mixtures using the semi circular bend geometry (SCB), AASHTO TP 105-13, Washington, DC. [36] Ozer, H., Al-Qadi, I. L., Lambros, J., El-Khatib, A., Singhvi, P. and Doll, B. (2016). Development of the fracture-based flexibility index for asphalt concrete cracking potential using modified semi-circle bending test parameters, Construction and Building Materials, 115, pp. 390–401. [37] Khattak, M.J., Baladi, GY. and Drzal, GY. (2007). Low-temperature binder-aggregate adhesion and mechanistic characteristics of polymer modified asphalt mixtures, J. Materials in Civil Eng, 36(2), pp. 411–22,. [38] Champion, L., Gerard, JF., Planche, JP., Martin, D. and Anderson, D. (2001). Low-temperature fracture properties of polymer-modified asphalts relationships with the morphology, Journal of Material Science, 36(2), p. 451–60. [39] Washington State Department of Transportation. (2016). WSDOT Highway Construction Costs, https://www.wsdot.wa.gov/Business/Construction/CostTrends.htm, Date Accessed 20/10/2018.

N OMENCLATURE

A

Crack length for edge cracks or half crack length for internal cracks

A lig Ligament area ASA Anti-Stripping Agent BD Brazilian Disc COV Covariance CSTBD Cracked Straight Through Brazilian Disc DCT Disc-shaped Compact Tension

184