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Effect of boundaries and interfaces on shear-band localization

Needleman, A. and Ortiz, M. (1991) Effect of boundaries and interfaces on shear-band localization. International Journal of Solids and Structures, 28 (7). pp. 859-877. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20180102-162606388

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Abstract

The emergence of general stationary-wave solutions, exemplified by Rayleigh surface waves and Stoneley interface waves, is taken as a criterion for the onset of localization in the presence of geometrical features such as free boundaries and interfaces. The stationary-wave solutions yield the possible orientations of the emerging shear bands. The influence of interfaces in crystalline solids and of free boundaries in pressure-sensitive frictional materials is investigated within this general framework. It is found that grain boundaries in polycrystals can act as both barriers to, and as sources of, shear bands. The analysis of pressure-sensitive frictional materials reveals a mismatch in orientation between the shear bands in the interior and on the boundary of the solid. The implications of this misorientation for the global behavior of specimens tested in plane strain compression are discussed.


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https://doi.org/10.1016/0020-7683(91)90005-ZDOIArticle
http://www.sciencedirect.com/science/article/pii/002076839190005ZPublisherArticle
Additional Information:© 1991 Elsevier. Received 14 September 1990, Revised 17 January 1991. We are grateful for the support provided by the Brown University Materials Research Group on Plasticity and Fracture, funded by the National Science Foundation. Algebraic manipulations in Section 4 were facilitated through use of Mathematica from Wolfram Research Inc.
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Issue or Number:7
Record Number:CaltechAUTHORS:20180102-162606388
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180102-162606388
Official Citation:A. Needleman, M. Ortiz, Effect of boundaries and interfaces on shear-band localization, In International Journal of Solids and Structures, Volume 28, Issue 7, 1991, Pages 859-877, ISSN 0020-7683, https://doi.org/10.1016/0020-7683(91)90005-Z. (http://www.sciencedirect.com/science/article/pii/002076839190005Z)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84048
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:03 Jan 2018 00:32
Last Modified:03 Oct 2019 19:14

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