Dissipative scale effects in strain-gradient plasticity: the case of simple shear
We analyze dissipative scale effects within a one-dimensional theory, developed in [L. Anand et al., J. Mech. Phys. Solids, 53 (2005), pp. 1789--1826], which describes plastic flow in a thin strip undergoing simple shear. We give a variational characterization of the yield (shear) stress---the thres...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2016
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| In: |
SIAM journal on applied mathematics
Year: 2015, Volume: 76, Issue: 2, Pages: 688-704 |
| ISSN: | 1095-712X |
| DOI: | 10.1137/15M1048227 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/15M1048227 Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/15M1048227 
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| Author Notes: | Maria Chiricotto, Lorenzo Giacomelli, Giuseppe Tomassetti |
| Summary: | We analyze dissipative scale effects within a one-dimensional theory, developed in [L. Anand et al., J. Mech. Phys. Solids, 53 (2005), pp. 1789--1826], which describes plastic flow in a thin strip undergoing simple shear. We give a variational characterization of the yield (shear) stress---the threshold for the onset of plastic flow---and we use this characterization, together with results from [M. Amar et al., J. Math. Anal. Appl., 397 (2011), pp. 381--401], to obtain an explicit relation between the yield stress and the height of the strip. The relation we obtain confirms that thinner specimens are stronger, in the sense that they display higher yield stress. |
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| Item Description: | Erschienen: January 26, 2015 Gesehen am 04.05.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1095-712X |
| DOI: | 10.1137/15M1048227 |