67 citations · 243 across the 15 of their papers we have counts for
15 papers
Multiscale multimesh finite element method | -FEM: Hierarchical mesh-decoupling for integral structural theories
Wei Ding, Sansit Patnaik, Fabio Semperlotti
This study presents a generalized multiscale multimesh finite element method (-FEM) that addresses several long-standing challenges in the numerical simulation of integ…
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…
On the role of the microstructure in the deformation of porous solids
Sansit Patnaik, Mehdi Jokar, Wei Ding +1
This study explores the role that the microstructure plays in determining the macroscopic static response of porous elastic continua and exposes the occurrence of position-dependen…
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…
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…
Variable-Order Approach to Nonlocal Elasticity: Theoretical Formulation and Order Identification via Deep Learning Techniques
Mehdi Jokar, Sansit Patnaik, Fabio Semperlotti
This study presents the application of variable-order (VO) fractional calculus to the modeling of nonlocal solids. The reformulation of nonlocal fractional-order continuum mechanic…
Variable-Order Fracture Mechanics and its Application to Dynamic Fracture
Sansit Patnaik, Fabio Semperlotti
This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling…
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…
Nonlocal elastic metasurfaces: enabling broadband wave control via intentional nonlocality
Hongfei Zhu, Timothy F. Walsh, Bradley H. Jared +1
While elastic metasurfaces offer a remarkable and very effective approach to the subwalength control of stress waves, their use in practical applications is severely hindered by in…
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…