Dissipative scale effects in strain-gradient plasticity

• Verfasst von: Chiricotto, Maria [VerfasserIn]
• Verfasst von: Giacomelli, Lorenzo [VerfasserIn]
• Verfasst von: Tomassetti, Giuseppe [VerfasserIn]
• Titel: Dissipative scale effects in strain-gradient plasticity
• Titelzusatz: the case of simple shear
• Verf.angabe: Maria Chiricotto, Lorenzo Giacomelli, Giuseppe Tomassetti
• Jahr: 2016
• Jahr des Originals: 2015
• Umfang: 17 S.
• Fussnoten: Erschienen: January 26, 2015 ; Gesehen am 04.05.2020
• Titel Quelle: Enthalten in: Society for Industrial and Applied MathematicsSIAM journal on applied mathematics
• Ort Quelle: Philadelphia, Pa. : Soc., 1966
• Jahr Quelle: 2016
• Band/Heft Quelle: 76(2016), 2, Seite 688-704
• ISSN Quelle: 1095-712X
• DOI: doi:10.1137/15M1048227
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1697009050

Abstract

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.