Welcome to NMAMLD 2022
Nonlocal models have drawn increasing interest from scientific and engineering communities in recent years, due to their ability to describe physical processes which are not well described by classical local theories.
Classical models in Continuum Mechanics are set in a differential framework which assumes that solutions of the systems must be smooth. However, in a variety of applications, the functions may exhibit singularities, discontinuities so classical equations cannot hold. The framework of integral operators assumes little regularity or smoothness for the inputs, thus making it ideal in applications such as image processing, biology models, dynamic fracture. While applied communities have been using nonlocal models successfully, their rigorous mathematical analysis still lacks foundational results that would be needed in complex applications that exhibit a sudden change in behaviour or material, or for which there would be a nonlinear response.
In solid mechanics, for instance, peridynamic models have been proposed to model material failure and damage, since they can naturally represent crack nucleation and growth, unlike classical continuum mechanics models. Nonlocal continuum models have been also proposed to describe anomalous diffusion and transport, which are not correctly modeled by classical theories. Nonlocal models possess length scales, which motivates their use as multiscale models in capturing microstucture influence on the macroscopic behavior of materials. Although there have been many recent advancements in the understanding of nonlocal models, there remains much to be explored.
The purpose of the symposium is to bring together experts from the mathematical, computational, scientific, and engineering communities who work with nonlocal models in order to disseminate the state of the art on the subject and disseminate ideas. The workshop is intended to survey the state-of-the-art in modelling, mathematical analysis, and computational practice for nonlocal theories, while exploring new application domains and promoting new collaborations.
Benefits of Attending the Symposium
This symposium is intended to provide graduate students, engineers, and researchers working in aerospace, automotive, civil, mechanical engineering, and materials and manufacturing industries with the theory and applications of nonlocal mechanics approaches for modelling localized elastic and inelastic deformations.
The persons attending the symposium will benefit in gaining knowledge and information in the following areas:
- Nonlocal/Non-Classical Mechanics
- Continuum Peridynamic Formulations
- Nonlocal Approaches in Fracture/Damage Mechanics
- Nonlocal Plasticity
- Applications of Nonclassical Mechanics in Defence and Aerospace Sector