Probability distribution of wave velocity in heterogeneous media due to random phase configuration

✍ Scribed by Abraham I. Beltzer; Tadanobu Sato

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 95 KB
• Volume: 38
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(03)00048-9

✦ Synopsis

The paper deals with a class of heterogeneous isotropic elastic materials, which are composed of isotropic elastic components (phases) with the prescribed elastic moduli, mass densities and volume concentrations but random (uncertain) phase configurations. The elastic response of such materials is controlled by the effective bulk and shear moduli. The latter are known only as lying within the Hashin-Shtrikman (H-S) bounds, the uncertainty being caused by the above randomness. The paper presents a probabilistic approach to effective response of such materials, which is based on the principle of maximum information entropy. Explicit probability density functions are derived for the effective moduli and the low-frequency wave velocity within the bounds. The obtained solution complements the well-known deterministic approximations.