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A general scheme is developed for estimating the effective constitutive properties of a randomly disordered elastic solid medium. The presented methodology, already known in electromagnetics and acoustics, is based on renormalizing the conventional equations of motion. The resulting equations lend themselves to an approximate averaging procedure, which holds for strong fluctuations in the constitutive properties of the disordered medium provided the renormalization constants are chosendoi:10.1098/rspa.1999.0323 fatcat:flstrmjm55b2lh5fspbgtmp54y