Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure

Y Xia, H Wang, G Zheng, G Shen, P Hu - Computer Methods in Applied …, 2022 - Elsevier
A discontinuous Galerkin (DG) isogeometric analysis (IGA) formulation with peridynamic
(PD) model is proposed for the simulation of cracks in shell structure. A micro-beam PD …

A general-purpose, inelastic, rotation-free Kirchhoff–Love shell formulation for peridynamics

M Behzadinasab, M Alaydin, N Trask… - Computer Methods in …, 2022 - Elsevier
We present a comprehensive rotation-free Kirchhoff–Love (KL) shell formulation for
peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture …

Derivation of dual-horizon state-based peridynamics formulation based on Euler–Lagrange equation

B Wang, S Oterkus, E Oterkus - Continuum Mechanics and …, 2023 - Springer
The numerical solution of peridynamics equations is usually done by using uniform spatial
discretisation. Although implementation of uniform discretisation is straightforward, it can …

A computational homogenization framework for non-ordinary state-based peridynamics

YK Galadima, W Xia, E Oterkus, S Oterkus - Engineering with Computers, 2023 - Springer
Peridynamic theory has been shown to possess the capabilities of describing phenomena
that theories based on partial differential equations are not capable of describing. These …

[HTML][HTML] A nonlocal method to compute effective properties of viscoelastic composite materials based on peridynamic computational homogenization theory

YK Galadima, S Oterkus, E Oterkus, I Amin… - Composite …, 2023 - Elsevier
This article presents a computational homogenization framework for viscoelastic composites
within the framework of non-ordinary state-based peridynamic theory. The motivation to …

Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method

G Shen, Y Xia, P Hu, G Zheng - European Journal of Mechanics-A/Solids, 2021 - Elsevier
Peridynamic (PD) theory is suitable for predicting structural damages, such as crack
propagation and multiple crack growths. However, it is computationally more expensive than …

Modelling of cracks with frictional contact based on peridynamics

W Lu, S Oterkus, E Oterkus, D Zhang - Theoretical and applied fracture …, 2021 - Elsevier
In this study, a two-dimensional peridynamic contact model is proposed to model the
propagation of frictional crack within the peridynamic framework. Compared with traditional …

Modeling of peridynamic beams and shells with transverse shear effect via interpolation method

G Shen, Y Xia, W Li, G Zheng, P Hu - Computer Methods in Applied …, 2021 - Elsevier
Peridynamics is a nonlocal theory which can easily handle discontinuities such as cracks,
while it is computationally more expensive compared with finite element method (FEM) …

Ordinary state-based peridynamic homogenization of periodic micro-structured materials

W Xia, E Oterkus, S Oterkus - Theoretical and Applied Fracture Mechanics, 2021 - Elsevier
In this work, an ordinary state-based peridynamic homogenization method is presented, in
which periodic boundary condition is enforced by coupling the displacement of periodic …

Coupled peridynamic model for geometrically nonlinear deformation and fracture analysis of thin shell structures

G Zheng, B Zhang, Y Xia, G Shen - Computer Methods in Applied …, 2024 - Elsevier
In this work, a coupling shell model that integrates peridynamics and classical continuum
mechanics (CCM) to analyze the fracture process of thin shell structures under geometrically …