Element‐free Galerkin method for a fractional‐order boundary value problem

A Rajan, S Desai, S Sidhardh - International Journal for …, 2024 - Wiley Online Library
In this article, we develop a meshfree numerical solver for fractional‐order governing
differential equations. More specifically, we develop a mesh‐free interpolation‐based …

Two-dimensional nonlocal Eshelby's inclusion theory: eigenstress-driven formulation and applications

W Ding, F Semperlotti - Proceedings of the Royal Society …, 2024 - royalsocietypublishing.org
The classical Eshelby's theory, developed based on local linear elasticity, cannot be applied
to inclusion problems that involve nonlocal (long range) elastic effects often observed in …

Distillation of non-locality in porous solids

S Patnaik, M Jokar, W Ding… - Proceedings of the …, 2023 - royalsocietypublishing.org
Non-local interactions are intrinsic to multiscale heterogeneous solids. The strength of the
interactions exhibits a position-dependent character whose spatial distribution strongly …