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Peridynamic Theory and Multi-physical/Multiscale Methods for Complex Material Behavior

Submission Deadline: 01 May 2025 View: 173 Submit to Special Issue

Guest Editors

Prof. Lisheng Liu, Wuhan University of Technology, China
Prof. Dan Huang, Hohai University, China
A.Prof. Hailong Chen, University of Kentucky, USA
A.Prof. Yile Hu, Shanghai Jiao Tong University, China
A.Prof. Xin Lai, Wuhan University of Technology, China


Summary

The Peridynamics proposed by Silling [1] is a non-local theory of solid mechanics. It redefines the problems by using integral equations rather than partial differential equations. It is assumed that the equilibrium of a material point is attained by an integral of internal forces exerted by non-adjacent points across a finite distance. This non-local model allows crack initiation and evolution simultaneously at multiple sites, with spontaneous paths inside the material and without formulating a complex crack growth criterion. These advantages have attached considerable attention to Peridynamics in the past decade. The research areas related to Peridynamics have also been extended to the fields of thermal, electricity, fluids, soft matter, etc. However, there are still many research areas to explore in the Peridynamic framework. These research directions include constitutive modeling, parameter calibration, surface effect correction, application of boundary conditions, multi-physics and multiscale modeling, coupling of Peridynamics and classical theories, high-performance computation, machine learning strategy, software development, etc. Advances in these directions will further promote Peridynamics to serve engineering applications better. Therefore, this special issue invites contributions to recent developments on the Peridynamic theory and the multi-physical/multiscale modeling method for complex material behavior.

 

Topics of interest (Including but not limited to the following):

•      Peridynamic theory and models for material failure in extreme condition

•      Peridynamic theory and algorithm for complex fracture

•      Multiphysics analysis by using Peridynamics

•      Multiscale modeling by using Peridynamics

•      Peridynamic theory and its numerical implementation and commercialization

•      Peridynamic parameter calibration

•      Surface effect correction

•      Application of boundary conditions

•      Coupling of Peridynamic and classical theories

•      Coupling Peridynamics with Phase Field

•      Mathematical analysis

•      Data-driven and machine learning strategies

•      High performance computing and large-scale algorithm development


[1] S.A. Silling(2000), Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics and Physics of Solids, 48(1), 175-209.


Keywords

Peridynamics; Damage and Fracture; Non-local; Multiphysics; Multiscale Methods.

Published Papers


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