Modelling of cracks with frictional contact based on peridynamics

Lü, Wei; Oterkus, Selda; Öterkuş, Erkan; Zhang, Dagang

doi:10.1016/j.tafmec.2021.103082

Cited by 28 publications

(5 citation statements)

References 57 publications

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“…PD theory has been widely used in various fields including impact [994]], tribology [995][996][997], cutting [998], quasi-static fracture problems [999], dynamic fracture of brittle materials [1000], etc. In fact, PD is a powerful tool to model the contact and wear process, especially involving the discontinuity problems such as cracks and material removal.…”

Section: New Simulation Methods In Tribology-peridynamics (Pd)mentioning

confidence: 99%

A review of advances in tribology in 2020–2021

Meng

et al. 2022

Friction

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Around 1,000 peer-reviewed papers were selected from 3,450 articles published during 2020–2021, and reviewed as the representative advances in tribology research worldwide. The survey highlights the development in lubrication, wear and surface engineering, biotribology, high temperature tribology, and computational tribology, providing a show window of the achievements of recent fundamental and application researches in the field of tribology.

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Section: New Simulation Methods In Tribology-peridynamics (Pd)mentioning

confidence: 99%

A review of advances in tribology in 2020–2021

Meng

et al. 2022

Friction

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“…It is also of interest to apply non-traditional approaches to modeling the contact of crack banks and their propagation: the peridinamic model [15], which includes the fracture conditions directly in its resolving equations; the phase field method [16], which does not require imposing restrictions on the contact of crack banks; the semi-analytical method [17], in which each crack is modeled as a distribution of dislocations of sliding and disclosure. The problems of fracture under dynamic loads are considered in [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Modeling of contact interaction of crack banks based on finite element schemes

Lukashevich

2024

E3S Web Conf.

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The problems of modeling the formation and propagation of cracks are relevant in a variety of applied fields: dynamics and strength of machines and mechanisms, mechanics of structural materials and structures, etc. When describing the fracture process, in addition to the fracture criteria, it is also important to correctly take into account changes in the rheology of the destroyed material, including the contact interaction between the surfaces of the cracks and fragments formed. This paper proposes a technique for calculating the stress-strain state of cracked bodies taking into account the contact interaction of crack banks in the normal direction. The technique is based on the transformation of a finite element grid with the introduction of double nodes, as well as an iterative algorithm for determining the contact zones of the crack banks. An example of calculating deformations of a shaft with a crack under the action of body weight at different angular positions of the shaft is given.

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“…The accuracy of the non-local model is validated by using large deformations of a plate under bending and transverse shear forces. W. Lu et al [19] proposed a two-dimensional non-local contact model for modeling the propagation of a frictional crack in the plate, which was validated by simulating the sliding of plates under compression and the plate with a pre-existing crack under compressive loading. Finally, Y.H.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigation of Intact and Cracked Steel Plates under tensile loading using Non-local Method

Abadi,

Kabir

2024

Preprint

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This study examines intact and cracked steel plates under uniform tensile loading, using local and non-local methods, and predicts crack growth with the energy released rate criterion. The impact of initial crack orientation, crack development, crack branching, the number of material points, and the horizon size on the ultimate strength of the steel plates are analyzed. Non-local relationships are established and applied to the equation of motion, with the principle of virtual work employed to solve the associated Lagrange equation. The study determines that the accuracy of the model improves with a horizon function length closer to 0.4 mm, and increasing the number of material points from 50 to 250 enables a more accurate evaluation of crack branching. The lowest and highest load capacities are related to plates with double and single-edge cracks, respectively. The study also shows that as the crack angle increases, the plate's load-carrying capacity under tensile loading increases. The effect of loading speed rate on the intensification of crack branching is investigated, and the results of the non-local method are compared with numerical approaches and experimental tests, showing a maximum difference of 2.13%. The robustness of the developed non-local method for predicting crack growth path, micro-cracks, and branching of cracks is demonstrated thoroughly in comparison with other numerical approaches and experimental tests. In summary, our study offers insights into steel plate behavior under tensile loads and introduces a new approach to predict crack growth, improving safety and reliability in critical steel structures.

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Modelling of cracks with frictional contact based on peridynamics

Cited by 28 publications

References 57 publications

A review of advances in tribology in 2020–2021

A review of advances in tribology in 2020–2021

Modeling of contact interaction of crack banks based on finite element schemes

Experimental and Numerical Investigation of Intact and Cracked Steel Plates under tensile loading using Non-local Method

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