000014318 001__ 14318 000014318 005__ 20161115100148.0 000014318 04107 $$aeng 000014318 046__ $$k2016-08-21 000014318 100__ $$aBorokinni, Adebowale 000014318 24500 $$aA theory of strain gradient-divergence plasticity 000014318 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000014318 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000014318 506__ $$arestricted 000014318 520__ $$2eng$$aThis work develops a gradient-divergence theory of small deformation viscoplasticity based on a set of microstresses; the second law of thermodynamics and; a constitutive theory accounting for the divergence of the plastic strain. Using the principle of virtual power, a microforce balance is obtained. Restricted by the local free energy imbalance, the constitutive relations together with microforce balance are shown to constitute a nonlocal flow rule which is a nonlinear partial differential equation in the plastic strain tensor. Thus the flow rule is shown to generalize the Gurtin—Anand model in [3]. 000014318 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000014318 653__ $$a 000014318 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000014318 720__ $$aBorokinni, Adebowale 000014318 8560_ $$ffischerc@itam.cas.cz 000014318 8564_ $$s154720$$uhttps://invenio.itam.cas.cz/record/14318/files/PO.SM13-1.02.177.pdf$$yOriginal version of the author's contribution as presented on CD, page 2734, code PO.SM13-1.02.177 . 000014318 962__ $$r13812 000014318 980__ $$aPAPER