Using Nonlinear Response to Estimate the Strength of an Elastic Network

preprint2001arXivOpen access

Abstract

Disordered networks of fragile elastic elements have been proposed as a model of inner porous regions of large bones [Gunaratne et.al., cond-mat/0009221, http://xyz.lanl.gov]. It is shown that the ratio ΓΓ of responses of such a network to static and periodic strain can be used to estimate its ultimate (or breaking) stress. Since bone fracture in older adults results from the weakening of porous bone, we discuss the possibility of using ΓΓ as a non-invasive diagnostic of osteoporotic bone.

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