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One-dimensional modeling of necking in rate-dependent materials.
- Source :
-
Journal of the Mechanics & Physics of Solids . Feb2019, Vol. 123, p149-171. 23p. - Publication Year :
- 2019
-
Abstract
- Abstract This paper presents an asymptotically rigorous one-dimensional analytical formulation capable of accurately capturing the stress and strain distributions that develop within the evolving neck of bars and sheets of rate-dependent materials stretched in tension. The work is an extension of an earlier study by the authors on necking instabilities in rate-independent materials. The one-dimensional model accounts for the gradients of the stress and strain that develop as the necking instability grows. Material strain-rate dependence has a significant influence on the strain that can be imposed on a bar or sheet before necking becomes pronounced. The formulation in this paper enables a quantitative assessment of the interplay in necking retardation due to rate-dependence and that due to the development of hydrostatic tension in the neck. The connection with a much simpler long-wavelength approximation which does not account for curvature induced hydrostatic tension in the neck is also emphasized and extended. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00225096
- Volume :
- 123
- Database :
- Academic Search Index
- Journal :
- Journal of the Mechanics & Physics of Solids
- Publication Type :
- Periodical
- Accession number :
- 133498606
- Full Text :
- https://doi.org/10.1016/j.jmps.2018.08.005