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Calibration of brittle fracture models by sharp indenters and inverse analysis

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Abstract

In several engineering areas structural analyses concern also fracture processes of brittle materials and employ cohesive crack models. Calibrations of such models, i.e. identification of their parameters by tests, computer simulations of the tests and inverse analyses, have been investigated in the literature particularly with reference to non-destructive indentation tests at various scales.To this timely research, the following contributions are presented in this paper: a simple piecewise-linear cohesive crack model is considered for brittle materials (here glass, for example); for its calibration by “non-destructive” indentation tests novel shapes are attributed to instrumented indenters, in order to make fracture the dominant feature of the specimen response to the test; such shapes are comparatively examined and optimized by sensitivity analyses; a procedure for inverse analysis is developed and computationally tested, based on penetration versus increasing force only (no imprint measurements by profilometers) and is made “economical” (i.e. computationally fast, “in situ” by small computers) by model reduction through proper orthogonal decomposition in view of repeated industrial applications.

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Acknowledgments

The results presented in this paper are related to research projects on structural diagnoses by non-destructive tests in collaboration with VeTec Co., Marghera (Venezia, Italy), and in the framework of the European KMM-VIN coordinated by the Polish Academy of Sciences. This study is also related to the research project no 35006 supported by Serbian Ministry of Science and Technological Development. The authors acknowledge with thanks the supports of the above institutions to the research which led to the results here summarized, and the useful information provided by Professor Luigi Biolzi on glass materials.

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Authors and Affiliations

  1. Department of Strength of Materials, Mechanical Engineering Faculty, University of Belgrade, Belgrade, Serbia

    V. Buljak

  2. Department of Structural Engineering, Technical University (Politecnico) of Milan, Milano, Italy

    G. Cocchetti & G. Maier

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  1. V. Buljak
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  2. G. Cocchetti
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  3. G. Maier
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Correspondence to G. Maier.

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Buljak, V., Cocchetti, G. & Maier, G. Calibration of brittle fracture models by sharp indenters and inverse analysis. Int J Fract 184, 123–136 (2013). https://doi.org/10.1007/s10704-013-9841-4

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  • DOI: https://doi.org/10.1007/s10704-013-9841-4

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