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A Multiscale Numerical Model for Structures with Internal Frictional Contacts

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Many engineering applications are related to or deal with materials and systems having internal frictional contacts in their structure. The effects induced by these contacts, such as friction-induced heat generation, wear, nonlinear vibrations, etc., can be significant and cannot be ignored in numerical models. However, friction models are computationally cumbersome because they often require implicit data exchange procedures to describe the contact evolution. Moreover, detailed meshing of the contact zone is needed to cover the microgeometry (roughness). Here, an alternative model is proposed, based on a semi-analytical method of contact mechanics, called the Method of Memory Diagrams (MMD), that allows for an automated explicit calculation of the hysteretic frictional contact response. The key strength of the method is that it uses a multiscale approach in which mesoscopic cells, containing a section of the frictional contact, are introduced to resolve the stress and displacement fields at the contact interface into a single load-displacement relationship. Hence, the essential constitutive information of the contact is supplied to the macroscale model by the mesoscopic cells, drastically simplifying the account for rough contacts and avoiding microscopic meshing of the contact geometry. The MMD contact model is directly integrated into a Finite Element Modeling (FEM) environment enabling the study of the dynamic behavior of structures with frictional interfaces. The potential of the proposed model for engineering applications will be demonstrated by simulating the contact behavior of a dynamically excited frictional contact and by linking this behavior to friction-induced effects such as nonlinear vibrations and heat production.

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Acknowledgements

The research leading to these results has gratefully received funding from Internal Funds KU Leuven (C24/15/021).

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Correspondence to S. Delrue .

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© 2019 Springer Nature Singapore Pte Ltd.

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Truyaert, K., Aleshin, V., Delrue, S., Van Den Abeele, K. (2019). A Multiscale Numerical Model for Structures with Internal Frictional Contacts. In: Abdel Wahab, M. (eds) Proceedings of the 1st International Conference on Numerical Modelling in Engineering . NME 2018. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-2273-0_7

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  • DOI: https://doi.org/10.1007/978-981-13-2273-0_7

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2272-3

  • Online ISBN: 978-981-13-2273-0

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