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International Journal of Solids and Structures 46 (2009) 311–321

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International Journal of Solids and Structures
journal homepage: www.elsevier.com/locate/ijsolstr

Mixed mode fracture in soda lime glass analyzed by using the generalized MTS criterion
M.R. Ayatollahi *, M.R.M. Aliha
Fatigue and Fracture Laboratory, Department of MechanicalEngineering, Iran University of Science and Technology, Narmak, Tehran 16846, Iran

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a b s t r a c t
Glasses are known to be vulnerable to tensile stresses particularly in the presence of preexisting cracks. Since cracks in glass components are very often subjected to mixed mode loading, several researchers have studied mixed mode fracture in soda lime glass usingdifferent test specimens. Among these specimens, the cracked Brazilian disc specimen has been used most frequently by investigators. However, it is shown in this paper that the previously reported experimental results obtained from the cracked Brazilian disc specimen for several glasses are always underestimated by fracture theories like the maximum tangential stress criterion. A generalized maximumtangential stress criterion is then employed for predicting the mixed mode fracture test results. It is shown that the experimental results obtained from the cracked Brazilian disc specimen and reported in the literature for soda lime glass can be estimated very well when the generalized criterion is used. It is also shown that the same criterion can be used for predicting the test results available inthe literature for brittle fracture in a glass plate containing an angled centercrack. Ó 2008 Elsevier Ltd. All rights reserved.

Article history: Received 5 December 2007 Received in revised form 2 July 2008 Available online 6 September 2008

Keywords: Soda lime glass Mixed mode fracture Cracked Brazilian disc specimen Angled center-crack

1. Introduction Glass products are sustainable tosudden failure and catastrophic fracture particularly in the presence of pre-existing cracks. Therefore, it is important to investigate crack growth behavior in glasses under various loading conditions by means of suitable theoretical and experimental methods. While soda lime glass is often considered as a model brittle material in fracture mechanics, its optical transparency also allows thedirect observation of crack growth path. Many researchers have used different experimental methods to study the fracture behavior of glasses. For example, Gong et al. (2001) studied the statistical mode I fracture toughness (KIc) of soda lime glass by the indentation technique. Koike et al. (2007) investigated the sub-critical crack growth of glass by double cleavage drilled compression (DCDC) specimenunder pure opening mode. The fracture toughness of soda lime float glass has been also studied by Abrams et al. (2003) using four point bend configuration. Park et al. (2001) studied the effect of loading rate on KIc for some ceramics including soda lime glass by means of surface cracks in flexural bending. Deriano et al. (2004) determined the values of KIc for several glasses such as soda limeglass using indentation and single edge notched beam methods. The Hertzian contact method is also a favorite method for obtaining glass fracture toughness. Warren (1995), Maschio and Nobile (1995) and Geandier et al. (2003) used this technique for measuring KIc of soda lime glass. Petit et al. (2007) also conducted a series of mode I tests on soda lime glass using both Hertzian indentation method andsingle-edge notched V shaped beams under three-point bending. A review of these investigations

* Corresponding author. Tel.: +98 21 73912922; fax: +98 21 77240488. E-mail addresses: m.ayat@iust.ac.ir (M.R. Ayatollahi), mrm_aliha@iust.ac.ir (M.R.M. Aliha). 0020-7683/$ - see front matter Ó 2008 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijsolstr.2008.08.035

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M.R. Ayatollahi,...