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Energy-based model of compressive splitting in heterogeneous brittle solids

Bhattacharya, K. and Ortiz, M. and Ravichandran, G. (1998) Energy-based model of compressive splitting in heterogeneous brittle solids. Journal of the Mechanics and Physics of Solids, 46 (10). pp. 2171-2181. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20131007-083528747

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Abstract

Confined heterogeneous brittle solids loaded under far-field uniaxial compression are often observed to split along the loading axis. We develop a theory which accords this phenomenon an energetic interpretation : the solid splits because in so doing it reduces its total energy, defined as the sum of bulk strain energy and surface energy. The heterogeneous microstructure gives rise to a complex stress distribution in the intact solid. We show that the change in energy due to the release of the microstructural stresses may exceed the cost in fracture energy. Critical conditions for splitting are formulated for polycrystalline solids as a function of readily measurable material properties and applied stresses. The predictions of the theory are found to be in remarkably good agreement with experimental observations in ceramics and rocks.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0022-5096(98)00026-X DOIArticle
http://www.sciencedirect.com/science/article/pii/S002250969800026XPublisherArticle
ORCID:
AuthorORCID
Bhattacharya, K.0000-0003-2908-5469
Additional Information:© 1998 Elsevier Science Ltd. Received 20 December 1997, in revised form 18 January 1998. We gratefully acknowledge the partial financial support of the following agencies. K.B. : AFOSR (F49620-95-1-0109) and NSF (CMS-9457573); M.O. : ARO (DAAH04-96-1-0056); G.R. : ARO (DAALO3-02-G-0192) and NSF (CMS-9157846).
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-95-1-0109
NSFCMS-9457573
Army Research Office (ARO)DAAH04-96-1-0056
Army Research Office (ARO)DAALO3-02-G-0192
NSFCMS-9157846
Subject Keywords:fracture; ceramic material; polycrystalline material; rock; energy methods
Record Number:CaltechAUTHORS:20131007-083528747
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20131007-083528747
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41699
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Oct 2013 17:25
Last Modified:29 Sep 2016 23:16

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