2 papers
cs.CE2022
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…
cs.CE2021
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…