Weak and strong from meshless methods for linear elastic problem under fretting contact conditions

Kosec, Gregor; Slak, J.; Depolli, Matjaž; Trobec, Roman; Pereira, K.; Tomar, Satyendra; Jacquemin, Thibault; Bordas, Stéphane; Wahab, Magd Abdel

doi:10.1016/j.triboint.2019.05.041

Cited by 23 publications

(8 citation statements)

References 45 publications

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“…It may also be noted that we have performed the 3D simulations using the dynamic setting of Eqs. ( 12), (15)(16)(17), but that hardly any differences in the results were observed.…”

Section: Finite Element Modelmentioning

confidence: 90%

“…Contact is enforced using a node-to-surface (slave-master) approach (albeit a wide range of more advanced contact frameworks exist these days, see e.g. [11,12,16]). This entails that a node of the slave surface experiences a force that aims to minimize the penetration of the slave node in the master surface.…”

Section: Normal Contactmentioning

confidence: 99%

“…In other words, we treat Eqs. ( 12), (15)(16)(17), but we ignore the mass matrices, the velocities, the accelerations and the contributions of body forces in f ext .…”

Section: Finite Element Modelmentioning

confidence: 99%

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A mechanical model for compaction of strands for wire ropes

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“…It may also be noted that we have performed the 3D simulations using the dynamic setting of Eqs. ( 12), (15)(16)(17), but that hardly any differences in the results were observed.…”

Section: Finite Element Modelmentioning

confidence: 90%

Section: Normal Contactmentioning

confidence: 99%

See 1 more Smart Citation

A mechanical model for compaction of strands for wire ropes

Chen

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et al. 2023

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“…Belaasilia et al (2017) made discrete processing of the linear system using the moving-least squares (MLS) function based on the collocation meshless method, and solved problems using the continuum method, thereby establishing the meshless numerical simulation model for elastic-plastic contact structure under large deformation conditions. Kosec et al (2019) analyzed the differences between meshless numerical methods in strong and weak forms. Their result showed that the mesh free solution in the strong form can substantially determine the peak stress on the contact surface, which is particularly important for studying fretting fatigue.…”

Section: Introductionmentioning

confidence: 99%

“…(2017) made discrete processing of the linear system using the moving-least squares (MLS) function based on the collocation meshless method, and solved problems using the continuum method, thereby establishing the meshless numerical simulation model for elastic–plastic contact structure under large deformation conditions. Kosec et al. (2019) analyzed the differences between meshless numerical methods in strong and weak forms.…”

Section: Introductionmentioning

confidence: 99%

Meshless numerical method for the contact problems of joint surface

Wang

Shi

Cao

et al. 2022

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PurposeThe partition of unity of the standard meshless Galerkin method is used as basis in expressing the discontinuity of the contact surface displacement, particularly by adding discontinuous terms into the displacement mode, and constructing the discontinuous meshless displacement field function. In this study the contact surface equation is aimed to derive from the improved Coulomb friction contact model.Design/methodology/approachIn this paper based on the basic idea of meshless method, an improved moving least squares approximation function (expansion method based on out of unit division) is applied to the analysis of two-dimensional contact problems.FindingsOn the basis of this equation after discrete processing, it is combined with the discrete form of the virtual work equation with added contact conditions, and eventually transformed into a standard linear complementary problem. Moreover, it is solved by using the Lemke algorithm, and a corresponding example is provided in this research.Originality/valueThe proposed method can effectively control the mutual embedding of the contact surface, and the stress distribution that is the same as the actual situation can be obtained on the contact surface.

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