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Validity of linear elasticity in the crack-tip region of ideal brittle solids
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Singh, Gaurav, Kermode, James R., De Vita, Alessandro and Zimmerman, Robert W. (2014) Validity of linear elasticity in the crack-tip region of ideal brittle solids. International Journal of Fracture, 189 (1). pp. 103-110. doi:10.1007/s10704-014-9958-0 ISSN 0376-9429.
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Official URL: https://doi.org/10.1007/s10704-014-9958-0
Abstract
It is a well known that, according to classical elasticity, the stress in the crack-tip region is singular, which has led to a debate over the validity of linear elasticity in this region. In this work, comparisons of finite and small strain theories have been made in the crack-tip region of a brittle crystal to comment on the validity of linear elasticity in the crack tip region. We find that linear elasticity is capable of accurately defining the state of stress very close (∼1nm) to a static crack tip.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||||||
Library of Congress Subject Headings (LCSH): | Fracture mechanics, Elasticity, Brittleness, Singularities (Mathematics) | ||||||||||||
Journal or Publication Title: | International Journal of Fracture | ||||||||||||
Publisher: | Springer | ||||||||||||
ISSN: | 0376-9429 | ||||||||||||
Official Date: | September 2014 | ||||||||||||
Dates: |
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Volume: | 189 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | pp. 103-110 | ||||||||||||
DOI: | 10.1007/s10704-014-9958-0 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 28 June 2022 | ||||||||||||
Date of first compliant Open Access: | 28 June 2022 | ||||||||||||
RIOXX Funder/Project Grant: |
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