292 citations · 1.6k across the 40 of their papers we have counts for
5 papers · 1 filter
Multiscale nonlocal beam theory: An application of distributed-order fractional operators
Wei Ding, Sansit Patnaik, Fabio Semperlotti
This study presents a comprehensive theoretical framework to simulate the response of multiscale nonlocal elastic beams. By employing distributed-order (DO) fractional operators wi…
Fractional-Order Shell Theory: Formulation and Application to the Analysis of Nonlocal Cylindrical Panels
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
We present a theoretical and computational framework based on fractional calculus for the analysis of the nonlocal static response of cylindrical shell panels. The differ-integral…
Multiscale Nonlocal Elasticity: A Distributed Order Fractional Formulation
Wei Ding, Sansit Patnaik, Fabio Semperlotti
This study presents a generalized multiscale nonlocal elasticity theory that leverages distributed order fractional calculus to accurately capture coexisting multiscale and nonloca…
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…
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…