Microstructural effects in elastic composites

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
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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