Homogenization and Multi-Scale Approaches for Contact Problems

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Details

Original languageEnglish
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing AG
Pages129-161
Number of pages33
Publication statusPublished - 2007

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume498
ISSN (Print)0254-1971
ISSN (electronic)2309-3706

Abstract

The use of finite element analysis tools enables investigations of the contact behaviour of rough surfaces on micro-mechanical level. Such analysis incorporates enhanced physical modelling and can replace classical statistical methods based on simplified analytical models. It will lead to homogenized constitutive models for contact which can be employed in macroscopic contact numerical simulations. Depending on the surface roughness these homogenization process can be employed on several scales and then leads to macrosscopic constitutive equations which incoprorate the behaviour of different scales. Here the main aspect is to show that use of computational tools will lead to constitutive equations which describe the mechanical behaviour within the contact zone. As one example, the macroscopic constitutive equation for the approach of two rough surfaces is derived based on statistical numerical simulations taking into account the micro-structure of a rough surface. Another example describes a multi-scale approach for the characterization of the frictional behaviour of elastomere materials. Special attenteion is given to the development of a methods based on scale seperation and homogenization. It is applied to rubber materials being in contact with rough road surfaces.

Keywords

    Constitutive equation, Road surface, Rough surface, Rubber material, Scale seperation

ASJC Scopus subject areas

Cite this

Homogenization and Multi-Scale Approaches for Contact Problems. / Wriggers, Peter; Nettingsmeier, J.
CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG, 2007. p. 129-161 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 498).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Wriggers, P & Nettingsmeier, J 2007, Homogenization and Multi-Scale Approaches for Contact Problems. in CISM International Centre for Mechanical Sciences, Courses and Lectures. CISM International Centre for Mechanical Sciences, Courses and Lectures, vol. 498, Springer International Publishing AG, pp. 129-161. https://doi.org/10.1007/978-3-211-77298-0_4
Wriggers, P., & Nettingsmeier, J. (2007). Homogenization and Multi-Scale Approaches for Contact Problems. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 129-161). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 498). Springer International Publishing AG. https://doi.org/10.1007/978-3-211-77298-0_4
Wriggers P, Nettingsmeier J. Homogenization and Multi-Scale Approaches for Contact Problems. In CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG. 2007. p. 129-161. (CISM International Centre for Mechanical Sciences, Courses and Lectures). doi: 10.1007/978-3-211-77298-0_4
Wriggers, Peter ; Nettingsmeier, J. / Homogenization and Multi-Scale Approaches for Contact Problems. CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG, 2007. pp. 129-161 (CISM International Centre for Mechanical Sciences, Courses and Lectures).
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