67 citations · 206 across the 9 of their papers we have counts for
9 papers
Analysis of nonlocal smart beams following fractional-order constitutive relations
Shubham Desai, Sai Sidhardh
In this study, we develop a fractional-calculus based constitutive model for capturing nonlocal interactions over the multiphysics response in solids. More specifically, we develop…
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…
Displacement-Driven Approach to Nonlocal Elasticity
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
This study presents a physically consistent displacement-driven reformulation of the concept of action-at-a-distance, which is at the foundation of nonlocal elasticity. In contrast…
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…