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

Abstract

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.

Keywords

• gradient elasticity/GradEla
• fractional elasticity
• gradient viscoelasticity
• fractional viscoelasticity
• fractional Kelvin–Voigt model