This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in
wave manipulation. We demonstrate the inverse design of phononic dispersion using …

Neural operators, which can act as implicit solution operators of hidden governing
equations, have recently become popular tools for learning the responses of complex real …

A computational homogenization framework is presented to study the dynamics of locally
resonant acoustic metamaterial structures. Modelling the resonant units at the microscale as …

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in
wave manipulation. We demonstrate inverse design of phononic dispersion using non-local …

We propose MetaNOR, a meta-learnt approach for transfer-learning operators based on the
nonlocal operator regression. The overall goal is to efficiently provide surrogate models for …

An approximate solution to the title problem for a scalar model elastic medium is obtained
via a variational formulation. The layer of random composite is a mixture of two materials …