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Size Effects due to the Formation of Interphases in Polymer Joints
Author(s) -
Johlitz Michael,
Steeb Holger,
Diebels Stefan
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610204
Subject(s) - isothermal process , polymer , microstructure , scalar (mathematics) , materials science , momentum (technical analysis) , balance (ability) , finite element method , thermodynamics , mechanics , statistical physics , mathematics , physics , composite material , geometry , medicine , finance , economics , physical medicine and rehabilitation
Abstract In this contribution we investigate the numerical modelling of polymer bonds under quasi‐static and isothermal conditions. From experimental investigations it is known that polymers form interphases in contact with substrates. These interphases influence the macroscopic material behaviour in the form of size effects, which are observed either in the form “Smaller is Stiffer” or “Smaller is Weaker” depending on the substrate. Taking the formation of the microstructure into account, we postulate an additional balance equation based on an abstract scalar‐valued structure parameter which offers us a way to consider the interphases. We investigate the coupled model consisting of the balance of linear momentum and the balance of the structure parameter by finite element analysis. Different numerical examples are shown. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)