000004004 001__ 4004
000004004 005__ 20141118153339.0
000004004 04107 $$acze
000004004 046__ $$k2009-05-11
000004004 100__ $$aZeman, J.
000004004 24500 $$aOn Hashin-Shtrikman-Willis variational principles for random heterogeneous lattices

000004004 24630 $$n15.$$pEngineering Mechanics 2009
000004004 260__ $$bInstitute of Theoretical and Applied Mechanics AS CR, v.v.i., Prague
000004004 506__ $$arestricted
000004004 520__ $$2eng$$aThe purpose of this paper is to establish variational principles for the mechanical behavior of two-phase random elastic lattices. By restricting the attention to the systems characterized by second-order statistics, the variational bounds on the stored energy of the Hashin-Shtrikman-Willis type are established using basic tools of structural statics and linear algebra. Accuracy of the improved bounds is verified against elementary estimates as well as detailed Monte-Carlo simulations. Finally, selected numerical results related to the accuracy of the bounds are presented.

000004004 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004004 653__ $$a

000004004 7112_ $$aEngineering Mechanics 2009$$cSvratka (CZ)$$d2009-05-11 / 2009-05-14$$gEM2009
000004004 720__ $$aZeman, J.$$iGeers, M.G.D.$$iPeerlings, R.H.J.
000004004 8560_ $$ffischerc@itam.cas.cz
000004004 8564_ $$s264368$$uhttp://invenio.itam.cas.cz/record/4004/files/Zeman-144-PT.pdf$$y
             Original version of the author's contribution as presented on CD, 144.
            
000004004 962__ $$r3852
000004004 980__ $$aPAPER