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A Micromechanical Model for High-Strain-Rate Behavior of Ceramics

Ravichandran, G. and Subhash, G. (1995) A Micromechanical Model for High-Strain-Rate Behavior of Ceramics. International Journal of Solids and Structures, 32 (17-18). pp. 2627-2646. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20150225-165151697

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Abstract

A constitutive model applicable to brittle materials such as ceramics subjected to biaxial compressive loading is developed. The model is based on non-interacting sliding microcracks that are uniformly distributed in the material. Tension cracks nucleate and propagate from the tip of the sliding cracks in the direction of maximum applied compression when the stress-intensity factor reaches its critical value. For high strain rate deformation, the rate of crack growth is governed by a universal relation in dynamic fracture. The constitutive model provides strain components for plane deformation which consists of an elastic part and a part due to sliding and growth of the tension cracks. The failure of the material is linked to a critical density of damage and hence a critical length for the tension cracks. The constitutive model is used to study material behavior under uniaxial compressive constant strain rate loading. A critical strain rate beyond which the material would exhibit rate sensitivity is proposed. The model predicts the failure or peak strength to increase with increasing strain rate. For engineering ceramics, the rate sensitivity exponent is found to be a function of the relation between the rate of crack growth and the toughness of the material. The model predictions are compared with the rate-dependent behavior of a hot pressed aluminum nitride tested in uniaxial compression in the strain rate range of 5 × 10^(−6)−2 × 10^3 s^(−1).


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0020-7683(94)00286-6 DOIArticle
http://www.sciencedirect.com/science/article/pii/0020768394002866PublisherArticle
Additional Information:© 1995 Elsevier Science Ltd. Received 3 February 1994. The support provided by a Presidential Young Investigator Award to G. R. from the National Science Foundation, grant No. MSS-9157846, and the matching funds provided by the Dow Chemical Company, are gratefully acknowledged. We are also pleased to acknowledge many helpful discussions with Dr Michael El-Raheb of the Dow Chemical Company. Midland, MI. and the help provided by Dr Cheng Liu in developing the constitutive model for microcracking solids under compression.
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Funding AgencyGrant Number
NSFMSS-9157846
Dow Chemical CompanyUNSPECIFIED
Record Number:CaltechAUTHORS:20150225-165151697
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150225-165151697
Official Citation:G. Ravichandran, G. Subhash, A micromechanical model for high strain rate behavior of ceramics, International Journal of Solids and Structures, Volume 32, Issues 17–18, September 1995, Pages 2627-2646, ISSN 0020-7683, http://dx.doi.org/10.1016/0020-7683(94)00286-6. (http://www.sciencedirect.com/science/article/pii/0020768394002866)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55233
Collection:CaltechAUTHORS
Deposited By: Cheryl Gause
Deposited On:27 Feb 2015 01:15
Last Modified:29 Sep 2016 23:17

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