292 citations · 1.6k across the 40 of their papers we have counts for
12 papers · 1 filter
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…
Finite Element Network Analysis: A Machine Learning based Computational Framework for the Simulation of Physical Systems
Mehdi Jokar, Fabio Semperlotti
This study introduces the concept of finite element network analysis (FENA) which is a physics-informed, machine-learning-based, computational framework for the simulation of compl…
Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface
Ting-Wei Liu, Fabio Semperlotti
In conventional theories, topological band properties are intrinsic characteristics of the bulk material and do not depend on the choice of the reference frame. In this scenario, t…
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…
Weyl points and topological surface states in a three-dimensional elastic lattice
Sai Sanjit Ganti, Ting-Wei Liu, Fabio Semperlotti
Following the realization of Weyl semimetals in quantum electronic materials, classical wave analogues of Weyl materials have also been theorized and experimentally demonstrated 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…