67 citations · 206 across the 9 of their papers we have counts for
6 papers · 1 filter
Fractional-Order Structural Stability: Formulation and Application to the Critical Load of Slender Structures
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
This study presents the framework to perform a stability analysis of nonlocal solids whose response is formulated according to the fractional-order continuum theory. In this formul…
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…
Fractional-Order Models for the Static and Dynamic Analysis of Nonlocal Plates
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
This study presents the analytical formulation and the finite element solution of fractional order nonlocal plates under both Mindlin and Kirchoff formulations. By employing consis…
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…