Peridynamics review

A Javili, R Morasata, E Oterkus… - … and Mechanics of …, 2019 - journals.sagepub.com
Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

Dual-horizon peridynamics: A stable solution to varying horizons

H Ren, X Zhuang, T Rabczuk - Computer Methods in Applied Mechanics …, 2017 - Elsevier
In this paper, we present a dual-horizon peridynamics formulation which allows for
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …

[HTML][HTML] A review of peridynamic theory and nonlocal operators along with their computer implementations

M Dorduncu, H Ren, X Zhuang, S Silling… - Computers & …, 2024 - Elsevier
This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

An energy-based peridynamic model for fatigue cracking

CT Nguyen, S Oterkus, E Oterkus - Engineering Fracture Mechanics, 2021 - Elsevier
Fatigue design assessment is a crucial step in the design process of ships and offshore
structures. To date, the stochastic approach is commonly used to calculate the total lifetime …

Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures

A Kefal, C Diyaroglu, M Yildiz, E Oterkus - Computer Methods in Applied …, 2022 - Elsevier
A novel structural health monitoring approach is developed by coupling the inverse finite
element method (iFEM) and peridynamic theory (PD) for real-time shape sensing analysis …

Peridynamics for the thermomechanical behavior of shell structures

CT Nguyen, S Oterkus - Engineering Fracture Mechanics, 2019 - Elsevier
A novel peridynamic model for predicting thermomechanical behaviour of three-dimensional
shell structures with 6 degrees of freedom has been proposed. Also, a numerical algorithm …

A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications

SR Chowdhury, P Roy, D Roy, JN Reddy - Computer Methods in Applied …, 2019 - Elsevier
We look for an enhancement of the correspondence model of peridynamics, emphasizing
the elimination of zero-energy deformation modes. We propose an approach based on the …

[HTML][HTML] Continuum-kinematics-inspired peridynamics. Mechanical problems

A Javili, AT McBride, P Steinmann - Journal of the Mechanics and Physics …, 2019 - Elsevier
The main objective of this contribution is to develop a novel continuum-kinematics-inspired
approach for peridynamics (PD), and to revisit PD's thermodynamic foundations. We …

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 …

Peridynamic modeling of elastic-plastic ductile fracture

H Zhang, D Huang, X Zhang - Computer Methods in Applied Mechanics …, 2024 - Elsevier
A peridynamics-based framework is established for the elastic-plastic ductile fracture
analysis. In this frame, a new state-based peridynamic elastic-plastic model is presented …