Mean field homogenization in multi-scale modelling of composite materials

• Autorzy: Ogierman W. , Kokot G.
• Języki publikacji: EN

Abstrakty

EN

Purpose: The paper is focused on testing of the capabilities of the mean field homogenization scheme in numerical analysis of composite materials. Another goal of this research is an attempt of coupling of mean field homogenization procedure with finite element computations to carry out a multi-scale analysis Design/methodology/approach: This research is based on the application of the DIGIMAT software which is material modelling platform. The Mori-Tanaka homogenization scheme implemented in DIGIMAT code was applied to obtain the average composite’s mechanical properties. Additional aspect is coupling of DIGIMAT material modeller with finite element solver. Findings: Application of mean field homogenization allows to obtain the effective properties of heterogeneous material very efficiently. Process of assigning material parameters to each composite’s phase on the micro level is operative and fast. Coupling homogenization procedure with finite element solver leads to full multi-scale analysis where material nonlinearities can be taken into account Research limitations/implications: Mean field homogenization gives approximate results, therefore detailed stress and strain fields in microstructure can not be analysed. Practical implications: Methodology presented in present article shows efficient approach to finding effective composite properties and in addition allow to carry out nonlinear multi-scale analysis. Originality/value: The paper presents new methodology which is intensively developed in the field of numerical simulation of structures and materials. The material parameters are not treated as the constant input data, but are obtained as results of the material parameters modelling process on the micro-scale level.

Słowa kluczowe

EN

mean field homogenization; multi-scale modelling; DIGIMAT

PL

homogenizacja; modelowanie wieloskalowe; MSC Digimat

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2013
• Tom: Vol. 61, nr 2
• Strony: 343--348
• Opis fizyczny: Bibliogr. 9 poz., rys., tab

Twórcy

autor

Ogierman W.

• Institute of Computational Mechanics and Engineering, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

autor

Kokot G.

• Institute of Computational Mechanics and Engineering, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

Bibliografia

• [1] T. Czyż, G. Dziatkiewicz, P. Fedeliński, R. Górski, J. Ptaszny, Advanced computer modelling in micromechanics, Silesian University of Technology Press, Gliwice, 2013.
• [2] T. Burczynski, W. Kuś, Microstructure Optimization and identification in multi-scale modelling, Eccomas Multidisciplinary Jubilee Symposium 14 (2009) 169-181.
• [3] V.G. Kouznetsova, Computational homogenization for the multi-scale analysis of multi-phase materials, Eindhoven: Technische Universiteit, 2002.
• [4] M. Kamiński, Boundary element method homogenization of the periodic linear elastic fiber composites. Engineering Analysis with Boundary Elements 23 (1999) 815-823
• [5] O. Pierard, C. Friebel, I. Doghri, Mean-field homogenization of multi-phase thermo-elastic composites, a general framework and its validation, Composites Science and Technology 64 (2004), 1587-1603.
• [6] E. S. Perdahcioglu, H.J.M. Geijselaers, Constitutive modeling of two phase materials using the mean field method for homogenization, International Journal of Material Forming 4 (2011) 93-102.
• [7] DIGIMAT software documentation, e-Xstream engineering, 2012.
• [8] J.D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London, series A 241 (1957) 376-396.
• [9] Y. Benveniste, A new approach to the application of Mori-Tanaka’s theory in composite materials. Mechanics of Materials 6 (1987) 147-157.