Journal article

Uniaxial elastic-plastic wave propagation

Abstract:: This article considers the uniaxial elastic-plastic response of a solid slab subject to a velocity applied to one boundary, over time scales on which both elastic and plastic waves can propagate. We briefly describe a simple model in which the amplitudes are small enough for these waves to satisfy linear wave equations, although the full problem is still non-linear because of the presence of an unknown free boundary separating elastic and plastic regions. Examples are given which show that the presence of residual stress can cause the pattern of elastic and plastic regions in the (X,t)-plane to be surprisingly complicated.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Ockendon, H., Ockendon, J., Howell, P., & Thomson, S. (2018). Uniaxial elastic-plastic wave propagation. Quarterly Journal of Mechanics and Applied Mathematics, 71(4), 505–518.

MLA Style

Ockendon, H, et al. “Uniaxial Elastic-Plastic Wave Propagation.” Quarterly Journal of Mechanics and Applied Mathematics, vol. 71, no. 4, 2018, pp. 505–18.

Chicago Style

Ockendon, H, J Ockendon, P Howell, and S Thomson. 2018. “Uniaxial Elastic-Plastic Wave Propagation.” Quarterly Journal of Mechanics and Applied Mathematics 71 (4): 505–18.
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Files:: uniaxial-elastic-plastic.pdf

(Preview, Accepted manuscript, pdf, 770.3KB, Terms of use)

Publisher copy:: 10.1093/qjmam/hby016

Authors

+ Ockendon, H More by this author

Institution:: University of Oxford
Division:: MPLS Division
Department:: Mathematical Institute
Role:: Author

+ Ockendon, J More by this author

Institution:: University of Oxford
Division:: MPLS Division
Department:: Mathematical Institute
Role:: Author

+ Howell, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: University College
Role:: Author
ORCID:: 0000-0002-6036-3386

+ Thomson, S More by this author

Role:: Author

Publisher:: Oxford University Press
Journal:: Quarterly Journal of Mechanics and Applied Mathematics More from this journal
Volume:: 71
Issue:: 4
Pages:: 505–518
Publication date:: 2018-08-31
Acceptance date:: 2018-07-26
DOI:: 10.1093/qjmam/hby016
EISSN:: 1464-3855
ISSN:: 0033-5614

Pubs id:: pubs:891314
UUID:: uuid:00ccd140-d0c7-40dd-8228-a746c1d422ec
Local pid:: pubs:891314
Source identifiers:: 891314
Deposit date:: 2018-07-27
ARK identifier:: ark:/29072/ora_00ccd140d0c740dd8228a746c1d422ec

Terms of use

Copyright holder:: Ockendon et al
Copyright date:: 2018
Notes:: Copyright © 2018 The Authors. Published by Oxford University Press. This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/qjmam/hby016

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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