Homogenization in non-linear dynamics due to frictional contact

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Peillex, G.¹  Baillet, L.²  Berthier, Y.¹ 

[1] CNRS, UMR 5259, INSA Lyon, LaMCoS, F-69621 Villeurbanne, France

[2] UJF, CNRS, LGIT, F-38400 St Martin Dheres, France

关键词: homogenization;    localization;    non-linear dynamic;    contact;    friction;    finite elements;   

DOI  :  10.1016/j.ijsolstr.2007.12.005

来源: Elsevier

【 摘 要 】

This work is devoted to a study of the classical homogenization process and its influence on the behavior of a composite under non-linear dynamic loading due to contact and friction. First, the general problem of convergence of numerical models subjected to dynamic contact with friction loading is addressed. The use of a regularized friction law allows obtaining good convergence of such models. This study shows that for a dynamic contact with friction loading, the classical homogenization process, coupled with an homogenization of the frictional contact, enables replacing the entire heterogeneous model by a homogenized one. The dynamic part of the frictional contact must be homogenized by modifying the dynamic parameter of the friction law. Modification of the dynamic parameter of the friction law is function of the type and regime of instability. A calculation of a homogenized friction coefficient is presented in view to homogenizing the static part of the frictional contact when the friction coefficient is not constant over the contact surface. Finally matrix and heterogeneities stresses in the heterogeneous models are identified by using the relocalization process and a frictional contact dynamic analysis of a homogeneous model. (C) 2007 Elsevier Ltd. All rights reserved.

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