Special Issue "Peridynamics and its Current Progress"

Submission Deadline: 30 June 2022
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Guest Editors
Prof. Fei Han, Dalian University of Technology, China
Prof. Erkan Oterkus, University of Strathclyde, UK
Dr. Patrick Diehl, Louisiana State University, USA


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 ten years. 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, multiphysics and multiscale modeling, coupling of peridyanmics and classical theories, high-performance computation, machine learning strategy, software development, etc. Advances in these researches will further promote peridynamics to serve engineering applications better. Therefore, this special issue invites contributions to recent developments on the peridynamic theory and its current progress.


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

•      Peridynamic modeling for advanced materials

•      Fracture modelling by using peridynamics

•      Multiphysics analysis by using peridynamics

•      Multiscale modeling by using peridynamics

•      Peridynamic parameter calibration

•      Surface effect correction

•      Application of boundary conditions

•      Coupling of peridynamic and classical theories

•      Data-driven and machine learning strategies

•      High performance computing to run large scale peridynamic simulations


[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.

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

Published Papers
  • Peridynamic Shell Model Based on Micro-Beam Bond
  • Abstract Peridynamics (PD) is a non-local mechanics theory that overcomes the limitations of classical continuum mechanics (CCM) in predicting the initiation and propagation of cracks. However, the calculation efficiency of PD models is generally lower than that of the traditional finite element method (FEM). Structural idealization can greatly improve the calculation efficiency of PD models for complex structures. This study presents a PD shell model based on the micro-beam bond via the homogenization assumption. First, the deformations of each endpoint of the micro-beam bond are calculated through the interpolation method. Second, the micro-potential energy of the axial, torsional, and bending deformations… More
  •   Views:96       Downloads:30        Download PDF

  • A Hybrid Local/Nonlocal Continuum Mechanics Modeling of Damage and Fracture in Concrete Structure at High Temperatures
  • Abstract This paper proposes a hybrid peridynamic and classical continuum mechanical model for the high-temperature damage and fracture analysis of concrete structures. In this model, we introduce the thermal expansion into peridynamics and then couple it with the thermoelasticity based on the Morphing method. In addition, a thermomechanical constitutive model of peridynamic bond is presented inspired by the classic Mazars model for the quasi-brittle damage evolution of concrete structures under high-temperature conditions. The validity and effectiveness of the proposed model are verified through two-dimensional numerical examples, in which the influence of temperature on the damage behavior of concrete structures is investigated.… More
  •   Views:304       Downloads:116        Download PDF

  • Implementation of OpenMP Parallelization of Rate-Dependent Ceramic Peridynamic Model
  • Abstract A rate-dependent peridynamic ceramic model, considering the brittle tensile response, compressive plastic softening and strain-rate dependence, can accurately represent the dynamic response and crack propagation of ceramic materials. However, it also considers the strain-rate dependence and damage accumulation caused by compressive plastic softening during the compression stage, requiring more computational resources for the bond force evaluation and damage evolution. Herein, the OpenMP parallel optimization of the rate-dependent peridynamic ceramic model is investigated. Also, the modules that compute the interactions between material points and update damage index are vectorized and parallelized. Moreover, the numerical examples are carried out to simulate the… More
  •   Views:777       Downloads:284        Download PDF