Peridynamics review
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 …
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …
A review of Peridynamics (PD) theory of diffusion based problems
The study of heat conduction phenomena using peridynamic (PD) theory has a paramount
significance on the development of computational heat transfer. This is because PD theory …
significance on the development of computational heat transfer. This is because PD theory …
Derivation of dual-horizon state-based peridynamics formulation based on Euler–Lagrange equation
The numerical solution of peridynamics equations is usually done by using uniform spatial
discretisation. Although implementation of uniform discretisation is straightforward, it can …
discretisation. Although implementation of uniform discretisation is straightforward, it can …
A computational homogenization framework for non-ordinary state-based peridynamics
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 …
that theories based on partial differential equations are not capable of describing. These …
Crack growth modeling and simulation of a peridynamic fatigue model based on numerical and analytical solution approaches
Fatigue crack growth assessment of 2024-T3 aluminum alloy is carried out on the basis of a
recently developed peridynamic fatigue model. The governing remaining-life equation of the …
recently developed peridynamic fatigue model. The governing remaining-life equation of the …
Peridynamics formulation for beam structures to predict damage in offshore structures
Progressive damage analysis of structures is still a major challenge. Peridynamics is a non-
local theory using the integral equations rather than differential equations which makes it …
local theory using the integral equations rather than differential equations which makes it …
Finite element implementation of ordinary state-based peridynamics with variable horizon
M Dorduncu, E Madenci - Engineering with Computers, 2023 - Springer
This study presents an ordinary state-based peridynamic (OSB PD) analysis within the finite-
element framework while considering implicit/explicit solvers. The present PD formulation …
element framework while considering implicit/explicit solvers. The present PD formulation …
A state-based peridynamic analysis in a finite element framework
E Madenci, M Dorduncu, A Barut, N Phan - Engineering fracture mechanics, 2018 - Elsevier
This study presents a PeriDynamic (PD) element to perform deformation and fracture
analysis within a finite element framework. The PD interactions among the finite element …
analysis within a finite element framework. The PD interactions among the finite element …
Modelling of cracks with frictional contact based on peridynamics
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 …
propagation of frictional crack within the peridynamic framework. Compared with traditional …
Ordinary state-based peridynamic model for geometrically nonlinear analysis
This study presents a novel ordinary state-based peridynamic model for geometrically
nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has …
nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has …