000015291 001__ 15291
000015291 005__ 20161115100217.0
000015291 04107 $$aeng
000015291 046__ $$k2016-08-21
000015291 100__ $$aKubair, Dhirendra
000015291 24500 $$aStatistically augmented boundary conditions for statistically equivalent RVEs

000015291 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015291 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015291 506__ $$arestricted
000015291 520__ $$2eng$$aStatistically equivalent representative volume elements (SERVEs) are used to obtain homogenized constitutive responses of composite microstructures with non-periodic (random) dispersion of heterogeneities. SERVEs are subjected to affine transformation based displacement, constant-traction or periodic boundary conditions ignoring the influence of the exterior microstructure, thus, leading to very large SERVE sizes. Novel statistically augmented boundary conditions (SABCs) derived in this paper accounts for the interaction between heterogeneities in the SERVE and exterior domain through the incorporation of microstructural statistics via the one-point and two-point correlation functions S1 and S2 , respectively. The converged size of the SERVE is significantly smaller with the SABCs in comparison with the conventional boundary conditions.

000015291 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015291 653__ $$a

000015291 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015291 720__ $$aKubair, Dhirendra
000015291 8560_ $$ffischerc@itam.cas.cz
000015291 8564_ $$s103709$$uhttps://invenio.itam.cas.cz/record/15291/files/TS.SM08-2.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2306, code TS.SM08-2.04
.
000015291 962__ $$r13812
000015291 980__ $$aPAPER