67 citations · 243 across the 15 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…