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http://dx.doi.org/10.12989/sss.2019.23.4.373

Energy and strength in brittle materials  

Speranzini, Emanuela (Department of Engineering, University of Perugia)
Publication Information
Smart Structures and Systems / v.23, no.4, 2019 , pp. 373-385 More about this Journal
Abstract
A study concerning the strength of brittle materials is presented in this paper. The failure behavior was investigated examining the plane of the crack after the failure and comparing the results obtained with those deriving from the fracture mechanics theory. Although the proposed methods are valid in general for brittle materials, the experiment was performed on glass because the results are more significant for this. Glass elements of various sizes and different edge finishes were subjected to bending tests until collapsing. The bending results were studied in terms of failure load and energy dissipation, and the fracture surfaces were examined by means of microscopic analysis, in which the depth of the flaw and the mirror radius of the fracture were measured and the strength was calculated. These results agreed with those obtained from the fracture mechanics analysis.
Keywords
brittle material; energy; strength; structural glass; ceramic;
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Times Cited By KSCI : 5  (Citation Analysis)
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1 Akbarov, S.D., Cafarova, F.I. and Yahnioglu, N. (2018), "The influence of initial stresses on energy release rate and total electro-mechanical potential energy for penny-shaped interface cracks in PZT/Elastic/PZT sandwich circular plate-disc", Smart Struct. Syst., 22(3), 259-276. DOI:10.12989/sss.2018.22.3.259   DOI
2 Andreozzi, L., Briccoli Bati, S., Ranocchiai, G. and Zulli, F. (2015), "Weathering action on thermo-viscoelastic properties of polymer interlayers for laminated glass", Constr. Build. Mater., 98, 757-766.   DOI
3 ASTM C1678-10 (2010), Standard practice for fractographic analysis of fracture mirror sizes in ceramics and glasses, America Society for Testing materials.
4 Ballarini, R., Pisano, G. and Royer-Carfagni, G. (2016), "The lower bound for glass strength and its interpretation with generalized Weibull statistics for structural application", J. Eng. Mech., 142(12), 1-20.
5 Brencich, A. and Gambarotta, L. (2001), "Isotropic damage model with different tensile-compressive response for brittle materials", Int. J. Solids Struct., 38(34-35), 5865-5892.   DOI
6 Castori G. and Speranzini, E. (2017), "Structural analysis of failure behavior of laminated glass", Compos. B Eng., 125, 89-99. DOI: 10.1016/j.compositesb.2017.05.062   DOI
7 Briccoli Bati, S., Ranocchiai, G., Reale, C. and Rovero, L. (2010), "Time-dependent behavior of laminated glass", J. Mater. Civ. Eng., 22, 389-396.   DOI
8 Carpinteri, A. (1992), Meccanica dei Materiali e della Frattura, Pitagora Editrice, Bologna, Italy.
9 Castilone, R.J., Glaesemann, G.S. and Hanson, T.A. (2002), "Relationship between mirror dimensions and failure stress for optical fibers", Proc. SPIE 4639, Optical Fiber and Fiber Component Mechanical Reliability and Testing II, (Eds., M.J. Matthewson and C.R. Kurkjian), 11-20.
10 Cervera, M., Tesei, C. and Ventura, G. (2018), "Cracking of quasibrittle structures under monotonic and cyclic loadings: a d+/ddamage model with stiffness recovery in shear", Int. J. Solid Struct., 135, 148-171.   DOI
11 Collini, L. and Royer, C.G. (2014), "Flexural Strength of glassceramic for structural application", J. Eur. Ceram. Soc., 34, 2675-2685.   DOI
12 Charler, R. (1958), "Static fatigue of glass 1", J. Appl. Phys., 29(11), 1549-1553.   DOI
13 Charler, R. (1958), "Static fatigue of glass 1I", J Appl. Phys., 29(11), 1554-1559.   DOI
14 Ciccotti, M. (2009), "Stress-corrosion mechanism in silicate glasses", J. Phys. D: Appl. Phys., 42, 1-29.   DOI
15 Congleton, J. and Petch, N.J. (1967), "Crack branching", Philos. Mag, 16(142), 749-760.   DOI
16 Corradi, M. and Speranzini E. (2019), "Post-cracking capacity of glass beams reinforced with steel fibers", Materials MDPI, 12(2), 231-246. DOI:10.3390/ma12020231   DOI
17 Davies, D. (1973), "A statistic approach to engineering design in ceramics", Proc. Br. Ceram Soc, 22, 429-452.
18 Foraboschi, P. (2009), "Buckling of a laminated glass column under test", Struct. Eng., 87(1), 2-8.
19 EN 1288-3, (2000), Glass in building - Determination of the bending strength of glass - Part 3: Test with specimen supported at two points (four point bending), European Standard.
20 Fischer, H., Rentzsch, W. and Marx, R., (2002), "A modified size effect model for brittle non-metallic materials", Eng. Fract .Mech., 69, 781-791.   DOI
21 Foraboschi, P. (2017), "Analytical modeling to predict thermal shock failure and maximum temperature gradients of a glass panel", Mater Des., 134, 301-319.   DOI
22 Haldimann, M., Luibe, A. and Overend, M. (2010), "Structural use of glass", Struct Eng, Documents, IABSE - AIPC - IVBH 10.
23 Freudenthal, AM. (1968), "Statistical approach to brittle fracture", (Ed., H. Liebowitz), Fracture, an advanced treatise, II, Academic Press, New York, 591-619.
24 Griffith, A.A. (1920), "The phenomena of rupture and flaw in solid", Philos. T. R. Soc. London, 221,163-198.
25 Haldimann, M. (2006), "Fracture strength of structural glass elements - analytical and numerical modelling, testing and design", PhD Dissertation n. 3671, EPFL, Lausanne, Switzerland.
26 Han, Z., Tang, L., Xu, J. and Li, Y. (2009), "A three-parameter Weibull statistical analysis of the strength variation of bulk metallic glasses", Scripta Mater., 61, 923-926.   DOI
27 Inglis, C.E. (1913), "Stresses in a plate due to the presence of cracks and sharp corners", T. Inst. Naval Arch., 55, 219-230.
28 Irwin, G.R. (1957), "Analysis of stresses and strains near the end of a crack traversing a plate", J. Appl. Mech., 24, 361-364.   DOI
29 Johnson, J.W. and Holloway, D.G. (1966), "Shape and size of fracture zones on glass fracture surfaces", Philos. Mag., 148(30), 731-43.   DOI
30 Jang, K. and An, Y.K. (2018), "Multiple crack evaluation on concrete using a line laser thermography scanning system", Smart Struct. Syst., 22(2), 201-207. DOI: 10.12989/sss.2018.22.2.201   DOI
31 Marsili, R., Rossi, G. and Speranzini, E. (2017), "Causes of uncertainty in thermoelasticity measurements of structural elements", Smart Struct. Syst., 20(5), 539-548, DOI: 10.12989/sss.2017.20.5.539.   DOI
32 Kim, B. and Cho, S. (2018), "Efflorescence assessment using hyperspectral imaging for concrete structures", Smart Struct. Syst., 22(2), 209-221. DOI: 10.12989/sss.2018.22.2.209   DOI
33 Levengood, W.C. (1958), "Effects of original flaw Characteristics on Glass Strength", J. Appl. Phys., 29(5), 820-26.   DOI
34 Loktionov, A.P. (2016), "A measuring system for determination of a cantilever beam support moment", Smart Struct. Syst., 19(4), 431-439. DOI : 10.12989/sss.2017.19.4.431   DOI
35 Overend, M., De Gaetano, S. and Haldimann, M. (2007), "Diagnostic Interpretation of Glass Failure", Struct. Eng., 2, 151-158.
36 Pisano, G. and Royer, C.G. (2015), "The statistical interpretation of the strength of float glass for structural applications", Constr. Build. Mater., 98, 741-756.   DOI
37 Quinn, G. D. (2003), "Weibull effective volumes and surfaces for cylindrical rods loaded in flexure", J. Am. Ceram. Soc., 86(3): 475-479.   DOI
38 Quinn, G., Swab, J.J. and Slavin, M.J. (1990), "A proposed standard practice for fractography analysis of monolithic advanced ceramics", US Army Materials Technology Laboratory.
39 Turco, E. and Rizzi, N.L. (2016), "Pantographic structures presenting statistically distributed defects: Numerical investigations of the effects on deformation fields", Mech. Res. Commun., 77, 65-69.   DOI
40 Weibull, W. (1939), "A statistical theory of the strength of materials", Ingeniorsvetenskapsakademiens Handlingar, 151, 1-45.
41 Wiederhorn, S.M. (1969), "Fracture surface energy of glass", J. Am. Ceram. Soc., 52, 99-105.   DOI
42 Wiederhorn, S.M. and Bolz, L.H. (1970), "Stress-corrosion and static fatigue of glass", J. Am. Ceram Soc., 53(10), 543-548.   DOI
43 Wiederhorn, S.M. and Evans, A.G. (1974), "Proof testing of ceramic materials - an analytical basis for failure prediction", Int. J. Fracture, 10(3), 379-392.   DOI