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Dynamically Induced Phase Transitions and the Modeling of Comminution in Brittle Solids

Knowles, James K. and Winfree, Nancy A. and Ahrens, Thomas J. (1997) Dynamically Induced Phase Transitions and the Modeling of Comminution in Brittle Solids. Mathematics and Mechanics of Solids, 2 (2). pp. 99-116. ISSN 1081-2865. doi:10.1177/108128659700200201. https://resolver.caltech.edu/CaltechAUTHORS:20141023-084053866

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Abstract

Some experiments suggest the presence of a sharp interface between comminuted and uncomminuted regimes in a ceramic subject to impact by a penetrator. This in turn suggests that one might model the associated dynamical process with the help of recently developed continuum models of the macroscopic response of solids undergoing phase transitions. A highly idealized phase transition model of such a com- minuted process is analyzed here. The model accounts for the kinetics of the phase transition. If the shear wave speed in the comminuted material is small compared to that in the uncomminuted portion, it is found that the energy reaching the uncomminuted portion of the target is greatly reduced in comparison to its value in the absence of the phase transition.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1177/108128659700200201 DOIArticle
http://mms.sagepub.com/content/2/2/99PublisherArticle
Additional Information:© 1997 Sage Publications, Inc. Received 7 November 1996. This work was supported in part by the U.S. Army Research Office under Grant No. DAAH04-94-G-0063. We are grateful to Dr. Kailasam Iyer of that office for his interest in our work This article represents contribution No. 5743, Division of Geological and Planetary Sciences, California Institute of Technology.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)DAAH04-94-G-0063
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological and Planetary Sciences5743
Issue or Number:2
DOI:10.1177/108128659700200201
Record Number:CaltechAUTHORS:20141023-084053866
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141023-084053866
Official Citation:James K. Knowles, Nancy A. Winfree, and Thomas J. Ahrens Dynamically Induced Phase Transitions and the Modeling of Comminution in Brittle Solids Mathematics and Mechanics of Solids June 1997 2: 99-116, doi:10.1177/108128659700200201
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50717
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Oct 2014 16:03
Last Modified:10 Nov 2021 18:59

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