Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

Lee, Jooeun; Liu, Wenyang; Hong, Jung‐Wuk

doi:10.1016/j.ijimpeng.2015.06.012

Cited by 62 publications

(13 citation statements)

References 60 publications

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“…Therefore, the computational burden of the proposed numerical scheme might be reduced. A quantitative study by Lee et al [29] of ballistic perforation using the proposed numerical scheme and the simulation results show good agreement with the experimental measurements and the analytical calculation of residual velocities.…”

Section: Introductionsupporting

confidence: 65%

“…This extension in the displacement mode overcomes the limitation of the fixed Poisson's ratio in the classical peridynamic model. Lee et al [29] develop a numerical scheme to model contact and impact between a peridynamic domain and a non-peridynamic domain such as conventional finite elements and rigid bodies. In this paper, the contact is modelled as a node-tosurface type, and a penalty method is used for transient analyses by the explicit time integration.…”

Section: Introductionmentioning

confidence: 99%

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Viscoplastic flow of functional cellular materials with use of peridynamics

2021

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The subject of the study is the deformation of the oxygen-free high conductivity copper. The copper sample is given in the form of a foam. The sample undergoes an impact into an elastic wall. The strain rate hardening effect is investigated. The numerical model of the open-cell foam skeleton is prepared in the framework of the peridynamics method. The dynamic process of compression with different impact velocities is simulated. It has been found that the strain rate hardening effect is essential for the load-carrying capacity of the material under study. Taylor impact test of solid cylinder analysis precedes the analysis of the metallic foam.

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Section: Introductionsupporting

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Viscoplastic flow of functional cellular materials with use of peridynamics

2021

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“…Most applications contain peridynamicrigid interactions inheriting contact models of particle methods. [28] The first dedicated article on this topic [29] deals with the contact of peridynamic and finite element models. An inverse isoparametric mapping technique and a node-to-surface contact algorithm are customized and implemented, and a penalty method enforcing displacement constraints is then incorporated for the transient analyses using the explicit time integration.…”

Section: Evaluation Of Boundary Conditionsmentioning

confidence: 99%

Review of Peridynamics: Theory, Applications, and Future Perspectives

Ladányi

Gonda

2021

SV-JME

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The modelling and simulation of material degradations, particularly fractures in solids of different lengths and time scales, remains challenging despite the numerous approaches that have been developed. In this review, the focus is set on research work concerned with a very promising non-local method: peridynamic modelling. With this approach, continuous phenomena may be described, and the complete evolution (i.e., initiation, propagation, branching, or coalescence) of cracks and other discontinuities can be followed in solids in an integrated framework. Evaluating the large number of publications on this topic, the authors chose to present concisely the key concepts, applications, and results in identifying possible future paths: the incorporation of mechanics of large deformations and material nonlinearities, and the development of high-efficiency peridynamic solvers. This review does not intersect with recent relevant reviews, which reflects its significance to readers.

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“…Recently, Liu et al [207] studied impact damage in a beam with an offset notch. Lee et al [208] presented a modeling framework for the interaction of PD domain and conventional finite elements, to effectively analyze impact problem and damage thereof. In a related work, Kosteski et al [209] introduced the lattice discrete element method to model the impact test of poly (methyl methacrylate) (PMMA) specimens.…”

Section: Impact Problemsmentioning

confidence: 99%

Peridynamics review

Javili

Morasata

Öterkuş

et al. 2018

Mathematics and Mechanics of Solids

239

109

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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 dell’Isola et al. PD has been attractive to researchers as it is a non-local formulation in an integral form, unlike the local differential form of classical continuum mechanics. Although the method is still in its infancy, the literature on PD is fairly rich and extensive. The prolific growth in PD applications has led to a tremendous number of contributions in various disciplines. This manuscript aims to provide a concise description of the PD theory together with a review of its major applications and related studies in different fields to date. Moreover, we succinctly highlight some lines of research that are yet to be investigated.

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Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

Cited by 62 publications

References 60 publications

Viscoplastic flow of functional cellular materials with use of peridynamics

Viscoplastic flow of functional cellular materials with use of peridynamics

Review of Peridynamics: Theory, Applications, and Future Perspectives

Peridynamics review

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