The goal of this paper is to discuss the practical implementation of a thermodynamically based procedure for the derivation of the effective response functions of composites with evolving microstructure. A concrete example of implementation of said procedure for the case of a linear elastic periodic composite with one growing crack is presented. This example is intended to show how the use of this procedure differs from a global-local approach and how it can be generalized to study complex microstructures characterized by many cracks.
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Univ Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, France
Univ Ibn Zohr, MPEE, Lab Mecan Proc Energie & Environm, Agadir 80000, MoroccoUniv Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, France
El Moumen, Ahmed
Kanit, Toufik
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Univ Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, FranceUniv Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, France
Kanit, Toufik
Imad, Abdellatif
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Univ Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, FranceUniv Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, France
Imad, Abdellatif
Minor, Hassan E. L.
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Univ Ibn Zohr, MPEE, Lab Mecan Proc Energie & Environm, Agadir 80000, MoroccoUniv Lille Nord France, CNRS UMR 8107, LML, F-59655 Villeneuve Dascq, France
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New Mexico State Univ, Dept Mech & Aerosp Engn, POB 30001,MSC 3450, Las Cruces, NM 88003 USANew Mexico State Univ, Dept Mech & Aerosp Engn, POB 30001,MSC 3450, Las Cruces, NM 88003 USA
Trofimov, Anton
Drach, Borys
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New Mexico State Univ, Dept Mech & Aerosp Engn, POB 30001,MSC 3450, Las Cruces, NM 88003 USANew Mexico State Univ, Dept Mech & Aerosp Engn, POB 30001,MSC 3450, Las Cruces, NM 88003 USA
Drach, Borys
Sevostianov, Igor
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New Mexico State Univ, Dept Mech & Aerosp Engn, POB 30001,MSC 3450, Las Cruces, NM 88003 USANew Mexico State Univ, Dept Mech & Aerosp Engn, POB 30001,MSC 3450, Las Cruces, NM 88003 USA