L7 composites - Materials Science and Engineering
L7 composites - Materials Science and Engineering
L7 composites - Materials Science and Engineering
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26<br />
Intro<br />
Composite<br />
Applns.<br />
Properties<br />
Voigt,<br />
Reuss,<br />
Hill<br />
Anistrpy.<br />
CTE<br />
Cellular<br />
Matls.<br />
Wood<br />
Isostress: 2<br />
• Each phase gives a different strain:<br />
ε A = σ C /E A ; ε B = σ C /E B .<br />
• We average the strains over the<br />
composite in proportion to the volume<br />
fraction of the phase:<br />
ε C =V A ε A + V B ε B = V Aσ C /E A + V Bσ C /E B .<br />
• The modulus of the composite is the<br />
ratio of the stress to the strain in the<br />
composite as before, except that it is<br />
easier to work with inverse moduli, i.e.<br />
compliances:<br />
1/E C = ε C/σ C = V A /E A + V B /E B<br />
• The composite modulus is thus the<br />
harmonic mean of the moduli of each<br />
phase, weighted by the volume<br />
fractions. In effect, the rule of mixtures<br />
has been applied to the compliances.<br />
Phase A<br />
Phase B
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