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Titlebook: Macroscopic Properties of Disordered Media; Proceedings of a Con R. Burridge,S. Childress,G. Papanicolaou Conference proceedings 1982 Sprin

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楼主: 可扩大
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Bounds for the effective conductivity of random media,We formulate the problem of calculating the effective conductivity of a random medium in a suitable manner. Then we obtain upper and lower bounds using variational principles. Some of the bounds depend on the random geometry of the medium while others (like the HashinShtrikman bounds) do not.
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Nonlinear evolution equations with rapidly oscillating initial data,We give a brief description of how one can analyze the behavior of solutions of nonlinear equations when the initial data oscillate very rapidly.
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https://doi.org/10.1007/3-540-11202-2Poröser Stoff; Properties; Verbundwerkstoff; diffusion; elasticity; geometry; microscopic field; topology
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Lecture Notes in Physicshttp://image.papertrans.cn/m/image/621095.jpg
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On the effective thermal conductivity and permeability of regular arrays of spheres, effective thermal conductivity and the permeability of such materials. The results are given for the whole range of volume fractions of spheres for three cubic arrays: simple, body-centered and face-centered.
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,Biot’s poroelasticity equations by homogenization,shows how the coefficients in them can be calculated, in principle, from the microstructure. When the dimensionless viscosity is of order one, a different equation is obtained, which is that of a viscoelastic solid.
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Dielectric and acoustic response of rocks,)-0. The case δ-0,,η-0,δ>,η gives rise to a new result, previously overlooked, with divergent es and non-zero σ(0). The velocity v of Biot second wave at high frequency and the fourth sound wave in .He saturated plug are given by v - v./n, VF being the velocity in the free fluid, n.=θσ.,(0)/σ(0) (exact) =θ. (self-similar model).
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