67 citations · 206 across the 9 of their papers we have counts for
4 papers · 2 filters
Towards a Generalized Approach to Nonlocal Elasticity via Fractional-Order Mechanics
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradien…
Thermodynamics of fractional-order nonlocal continua and its application to the thermoelastic response of beams
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
This study presents a comprehensive framework for constitutive modeling of a frame-invariant fractional-order approach to nonlocal thermoelasticity in solids. For this purpose, the…
Geometrically Nonlinear Response of a Fractional-Order Nonlocal Model of Elasticity
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
This study presents the analytical and finite element formulation of a geometrically nonlinear and fractional-order nonlocal model of an Euler-Bernoulli beam. The finite nonlocal s…
A Ritz-based Finite Element Method for a Fractional-Order Boundary Value Problem of Nonlocal Elasticity
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
We present the analytical formulation and the finite element solution of a fractional-order nonlocal continuum model of a Euler-Bernoulli beam. Employing consistent definitions for…