Effective Stiffness Tensor of Composite Media ] Ii[ Applications to Isotropic Dispersions
نویسنده
چکیده
Accurate approximate relations for the e}ective elastic moduli of two! and three!dimensional isotropic dispersions are obtained by truncating\ after third!order terms\ an exact series expansion for the e}ective sti}ness tensor of d!dimensional two!phase composites "obtained in the _rst paper# that perturbs about certain optimal dispersions[ Our third!order approximations of the e}ective bulk modulus Ke and shear modulus Ge are compared to benchmark data\ rigorous bounds and popular self!consistent approximations for a variety of macroscopically isotropic dispersions in both two and three dimensions\ for a wide range of phase moduli and volume fractions[ Generally\ for the cases considered\ the third!order approximations are in very good agreement with benchmark data\ always lie within rigorous bounds\ and are superior to popular self!consistent approximations[ Þ 0887 Elsevier Science Ltd[ All rights reserved
منابع مشابه
Effective Stiffness Tensor of Composite Media-i. Exact Series Expansions
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