5 citations · 9 across the 5 of their papers we have counts for
10 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…
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…