| Abstract: | Incompressible elastic material with a periodic system of pores is considered. Processes are studied with a typical length
which is much more than the typical diameter of pores and the typical distance between pores. Porous material behaves as a
certain “effective” material without pores in such processes. The method of calculation of effective moduli based on mathematical
homogenization theory is described. The estimates for the effective moduli are proved. The results of numerical calculations
of effective moduli for materials with spherical and cubic pores are presented. The dependence of the effective moduli on
the volume fracture of pores is investigated. The explicit formulae for effective coefficients are deduced. Comparison with
the effective moduli for compressible materials is performed.
Presented at the Ninth International Conference on the Mechanics of Composite Materials, Riga, October, 1995.
Lomonosov Moscow State University, Department of Mathematics and Mechanics, Moscow. Published in Mekhanika Kompozitnykh Materialov,
No. 5, pp. 579–587, September–October, 1996. |
