38 citations · 119 across the 7 of their papers we have counts for
7 papers
Scattering under Linear Non Self-Adjoint Operators: Case of in-Plane Elastic Waves
Amir Ashkan Mokhtari, Yan Lu, Qiyuan Zhou +2
In this paper, we consider the problem of the scattering of in-plane waves at an interface between a homogeneous medium and a metamaterial. The relevant eigenmodes in the two regio…
On the Emergence of Negative Effective Density and Modulus in 2-phase Phononic Crystals
Amir Ashkan Mokhtari, Yan Lu, Ankit Srivastava
In this paper we report metamaterial properties including negative and singular effective properties for what would traditionally be considered non locally resonant 2-phase phononi…
Deep Convolutional Neural Networks for Eigenvalue Problems in Mechanics
David Finol, Yan Lu, Vijay Mahadevan +1
We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problem…
Level Repulsion and Band Sorting in Phononic Crystals
Yan Lu, Ankit Srivastava
In this paper we consider the problem of avoided crossings (level repulsion) in phononic crystals and suggest a computationally efficient strategy to distinguish them from normal c…
Variational Methods For Phononic Calculations
Yan Lu, Ankit Srivastava
Three fundamental variational principles used for solving elastodynamic eigenvalue problems are studied within the context of elastic wave propagation in periodic composites (phono…
Combining plane wave expansion and variational techniques for fast phononic computations
Yan Lu, Ankit Srivastava
In this paper the salient features of the Plane Wave Expansion (PWE) method and the mixed variational technique are combined for the fast eigenvalue computations of arbitrarily com…