A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity

An introductory discussion on a (weakly non-local) gradient generalization of some one-dimensional elastic and viscoelastic models, and their fractional extension is provided. Emphasis is placed on the possible implications of micro- and nano- engineering problems, including small-scale structural mechanics and composite materials, as well as collagen biomechanics and nanomaterials.

Automated summary

This article provides an introductory discussion on the (weakly non-local) gradient generalization of one-dimensional elastic and viscoelastic models, as well as their fractional extension. The possible implications of micro- and nano- engineering problems, including small-scale structural mechanics, composite materials, collagen biomechanics, and nanomaterials, are emphasized.