In this paper, we present a new model to predict the fracture in brittle materials from a geometrical weakness presenting an arbitrary stress concentration. The main idea is to combine the strain gradient elasticity with a cohesive model that includes both the displacement and the rotation jumps between the cohesive surfaces in the separation law. Three material parameters were used in the establishment of the fracture criterion. The first two parameters are the commonly used , the ultimate stress, and , the critical energy release rate. The third parameter is the characteristic length as in most of the strain gradient models. The proposed three-parameter model enables to take the different stress concentration levels into account, thus providing a criterion to predict fractures for any stress concentration, whether it is singular or not. Experimental results were selected to verify the accuracy and efficiency of the criterion. It was shown that the proposed model is physically reasonable, highly accurate, and easy to apply. It can be used in crack initiation prediction of engineering structures made of brittle materials.
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March 2008
Research Papers
A Strain Gradient Model for Fracture Prediction in Brittle Materials
Jia Li
Jia Li
LPMTM, CNRS UPR 9001,
e-mail: jia.li@lpmtm.univ-paris13.fr
Université Paris XIII
, 99 Avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
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Jia Li
LPMTM, CNRS UPR 9001,
Université Paris XIII
, 99 Avenue Jean-Baptiste Clément, 93430 Villetaneuse, Francee-mail: jia.li@lpmtm.univ-paris13.fr
J. Appl. Mech. Mar 2008, 75(2): 021004 (9 pages)
Published Online: February 20, 2008
Article history
Received:
September 25, 2006
Revised:
July 9, 2007
Published:
February 20, 2008
Citation
Li, J. (February 20, 2008). "A Strain Gradient Model for Fracture Prediction in Brittle Materials." ASME. J. Appl. Mech. March 2008; 75(2): 021004. https://doi.org/10.1115/1.2775498
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