Statistical Fracture Criterion of Brittle Materials Under Static and Repeated Loading
American Journal of Modern Physics
Volume 6, Issue 6, November 2017, Pages: 117-121
Received: Aug. 2, 2017; Accepted: Aug. 23, 2017; Published: Sep. 19, 2017
Views 1618      Downloads 64
Authors
Dmytro Babich, Department of Electroelasticity, Stepan Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
Volodymyr Bastun, Department of Fracture Mechanics of Materials, Stepan Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
Article Tools
Follow on us
Abstract
A statistical strength criterion for brittle materials under static and repeated loadings is proposed. The criterion relates beginning of a macrofracture in the form of origination of microcracks to the moment at which the microcrack density in the material becomes critical. The idea of the criterion consists in identification of the values of microdefect concentration under static and repeated loadings with the value of microdefect concentration which is held in the case of fracture under uniaxial static loading. It is assumed that the microcrack concentration defines the life of structures made of brittle materials. The numerical example of practical use of the criterion under consideration is presented.
Keywords
Statistical Strength Criterion, Brittle Materials, Static and Repeated Loadings, Microcrack Concentration
To cite this article
Dmytro Babich, Volodymyr Bastun, Statistical Fracture Criterion of Brittle Materials Under Static and Repeated Loading, American Journal of Modern Physics. Vol. 6, No. 6, 2017, pp. 117-121. doi: 10.11648/j.ajmp.20170606.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
H. O. Fuchs and R. J. Stephens, Metal Fatigue in Engineering. John Wiley & Sons, 1980.
[2]
V. V. Bolotin, Machine and Structure Life Prediction. Mashinostroenie, Moscow, 1984, (in Russian).
[3]
V. T. Troshchenko and L. A. Sosnovskii, Fatigue Strength of Metals and Alloys. Handbook in two parts. Part 1. Naukova Dumka, Kyiv, 1987 (in Russian).
[4]
W. Schutz and P. Heuler, A review of fatigue life prediction models for the crack initiation and propagation phases, in: Advances in Fatigue Science and Technology (ed. by C. Moura Branco and L. Cuerra Rosa), 1989, pp. 177-219.
[5]
L. Pook, Metal Fatigue, 2009, Springer.
[6]
J. Luo and P. Bowen, A probabilistic methodology for fatigue life prediction, Acta Materiala, vol. 51 (12). 2003, pp. 3537-3550.
[7]
T. D. Righiniotis and M. K. Chryssanthopoulos, Probabilistic fatigue analysis under constant amplitude loading, J. of Constructional Steel Research, vol. 59 (7), 2003, pp. 867-886.
[8]
K. Ortiz and A. S. Kiremidjian, Stochastic modeling of fatigue crack growth, Engineering Fracture Mechanics, vol. 29 (3), 1988, pp. 317-334.
[9]
W. Schutz and P. Heuler, A review of fatigue life prediction models for the crack initiation and propagation phases, in: Advances in Fatigue Science and Technology (ed. by C. Moura Branco and L. Cuerra Rosa), 1989, pp. 177-219.
[10]
G. Maymon, The problematic nature of the application of stochastic crack growth models in engineering design, Engineering Fracture Mechanics, vol. 53, (6), 1996, pp. 911-916.
[11]
W. Cui, A state-of-the-art review on fatigue life prediction methods for metal structures, J. of Marine Science and Technology, vol. 7 (1), 2002, pp. 43-56.
[12]
W. F. Wu and C. C. Ni, Probabilistic models of fatigue crack propagation, Probabilistic Engineering Mechanics, 18 (3), 2004, pp. 247-257.
[13]
D. V. Babich, O. I. Bezverkhyi, T. I. Dorodnykh, Continuum model of deformation of piezoelectric materials with cracks, Applied Mechanics and Materials, vol. 784, 2015, pp. 161-172.
[14]
D. V. Babich, V. N. Bastun, and T. I. Dorodnykh, Structural-probabilistic approach to determining the durability for structures of brittle materials, Acta Mechanics, vol. 228, 207, pp. 269-274.
[15]
D. V. Babich D. V., T. I. Dorodnykh. Determining cyclic durability of piezoceramic structures using probabilistic approach, Key Engineering Materials, vol. 713, 2016, pp. 216-219.
[16]
Y. C. Xiao, S. Li. Z., K. Gao, A continuum damage mechanics model for high cycle fatigue, International Journal of Fatigue, vol. 20, (7), 1998, pp. 503-508.
[17]
Y. S. Upadhyaya, B. K. Sridhara, Fatigue life prediction. A continuum damage mechanics and fracture mechanics approach, Materials & Design 35, 2012, pp. 220-224.
[18]
A. Eklind, T. Walander, T. Carlberger, U. Stigh, High cycle fatigue crack growth in mode I of adhesive layers: modeling, simulation and experiments, Int. J. of Fracture, vol. 190 (1-2), 2014, pp. 125-146.
[19]
D. V. Babich and V. N. Bastun, On dispersed microdamageability of elastic-brittle materials under deformation, J. of Strain Analysis, vol. 45 (1), 2010, pp. 57-66.
[20]
V. P. Tamuzh, and V. S. Kuksenko, Micromechanics of fracture of polymer materials, Zinatne, Riga, 1978 (in Russian).
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186