Microstructural effects in elastic composites Claude Boutin To cite this version: Claude Boutin. Microstructural effects in elastic composites. International Journal of Solids and Structures, Elsevier, 1996, 33 (7), pp.1023-105. <hal-00940462> HAL Id: hal-00940462 https://hal.archives-ouvertes.fr/hal-00940462 Submitted on 5 Feb 2014 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destin´ee au d´epˆot et `a la diffusion de documents scientifiques de niveau recherche, publi´es ou non, ´emanant des ´etablissements d’enseignement et de recherche fran¸cais ou ´etrangers, des laboratoires publics ou priv´es. Microstructural effects in elastic composites C” ,122 = h2(~){D(~)[k+D(~)(/2+2~)/~l+(12+2~)D’ 22 -~ (1/(1+2~);~)D(r1)}/12 (1/(~+2~);~)D(r1)}/~2 G ‘I*’= ~‘(~){D(y)[~+D(r1)(~+2~)/CIl+(~)D’ c;, 22z2= h2(~.+2~)~D(a)[k.D(A)/D(I+2~)+D(~)(1+2lr)/~]+(~)D(1/(1+2~)).D(~)}/12 -C;zz222 =h’(i+Z~){D(~)[k.D(I)/D(1+2~)+D(~)(1+2~)/~1+(~)D’(1/(1+2~);rl)D(~)}/12 CL *“’ = h2(if){D(y)[k.D(1)/D(I+2~)+D(~)(~+2~)/~1+(~)D’(~/(~+2~);~)D(~)}/12 CY, 3322= h2(/1+2~)D(~){D(~)[k.D(E.)/D(I.+2~)+D(y)(i,+2~)/~]+(~)D(1/(1+2p))D(y)}/l2 (1/(1+2p);~)D(y)}/~2 CL 3322= h2(l+2~){D(~)[k.D(I)/D(I+2p)+D(y)(l+2~)/~]+(1+2~)D’ -c;, 332’= h’(/l+2~){D(y)[k.D(y)/D(~.+2~)+D(~)(1+2~)/~1+(~)D’(1/(~+2~);rl)D(~)}/~2 C;, “*j = hZ(IZ+2~)D(~){D(l/(i+2~))+D(11)/1}/12 C” 2223= h2(~)D(d{D(W+2/4).D(41D(~+2d+D(4)/~~/12 21 C’&““-’ = h2(~+2~)D(~){D(l/(E.+2~)).D(1)/D(A+2~)+D(y)/~}/l2 c;, 12” = h*tnD(p)/6 C;, 2333= h’D(p/p)D@)/6 _ CY, ‘332= h2(i+2p)m’(qD(q)-4)/6 CY, IZZZ= h2 (2 + 2/4m’(qD(q) - yX6 Cy2 “” = h’(I+2p)D(q) .m/12 C~zZZ2’= h’(i+2p)D(+) ~ .m/12 C;2332’ = h’(i.+2p)D(y) .m/12 C’lz332’= h*D(p) M /12. 1051
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