MS236 - Peridynamic Theory and Nonlocal Continuum Models: Methods and Applications
Keywords: Nonlocal Models, Damage, fracture, Peridynamics
Nonlocal models offer a robust framework for the study of materials and structures where classical continuum theories prove inadequate, particularly for problems involving discontinuities, singularities, and long-range interactions [1]. Peridynamics, a reformulation of continuum mechanics based on integral equations, provides a mathematically robust framework that avoids spatial derivatives and naturally enables the modelling of crack initiation, propagation, and other discontinuous phenomena [2].
This mini-symposium addresses recent advances in both the theoretical and computational aspects of Peridynamic theory and related nonlocal methods. Emphasis is placed on their application to multi-scale and multi-physics problems involving fracture, damage evolution, and material discontinuities. The scope also includes numerical methods for nonlocal operators, convergence analysis, and alternative nonlocal theories that address similar physical and computational challenges.
Contributions focusing on validation against experimental data, comparative studies between classical and nonlocal models, and applications in fracture, fatigue, impact, or damage evolution are encouraged. The goal is to promote interdisciplinary discussion among mechanics, materials science, applied mathematics, and computational communities to advance both understanding and practical capabilities in nonlocal modelling. Contributions are also welcome on a broad range of emerging and interdisciplinary topics, including but not limited to additive manufacturing, artificial intelligence and machine learning, composite materials, fatigue, functionally graded materials, impact, reduced order modelling, structural health monitoring, topology optimization, and related areas.
REFERENCES
[1] S.A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics and Physics of Solids 48(1) (2000) 175–209. https://doi.org/10.1016/S0022-5096(99)00029-0
[2] E. Madenci and E. Oterkus, Peridynamic Theory and Its Applications, 4th Edition, Vol. 9781461484, Springer New York, 2014.
