Homogenisation of a sheared unit cell of textile composites: FEA and approximate inclusion model

Revue Europeenne des Elements

Volumn 14, Issue 6-7, 2005, Pages 709-728

  Lomov, Stepan V ^a   Bernal, Enrique ^b   Ivanov, Dmitry S ^a,c   Kondratiev, Sergey V ^a   Verpoest, Ignaas ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITY OF ZARAGOZA   (Spain)

^c PERM NATIONAL RESEARCH POLYTECHNIC UNIVERSITY   (Russian Federation)

Author keywords

Homogenisation; Textile composites

Indexed keywords

FINITE ELEMENT METHOD; GEOMETRY; HOMOGENIZATION METHOD; REINFORCEMENT; STIFFNESS MATRIX; TEXTILES;

APPROXIMATE DESCRIPTIONS; APPROXIMATE INCLUSION; FINITE ELEMENT MODELLING; HOMOGENISED PROPERTIES; PERIODIC BOUNDARY CONDITIONS; TEXTILE COMPOSITE; TEXTILE REINFORCEMENT; TRANSLATIONAL SYMMETRY;

WEAVING;

EID: 33947384445     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.3166/reef.14.709-728     Document Type: Article

References (25)

1. Boisse P., Buet K., Gasser A., Launay J., "Meso/macro-mechanical behaviour of textile reinforcements for thin composites", Composites Science and Technology, Vol. 61, 2001, pp. 395-401.
2. Carvelli V., Poggi C., "A numerical approach for the failure analysis of textile composites", Proceedings ICCM-14, San Diego, 2003, CD edition.
3. Chamis C. C., "Mechanics of composite materials: Past, present and future", Journal of Composites Technology and Research, Vol. 11, No. 1, 1989, pp. 3-14.
4. Eshelby J. D., "The determination of the elastic field of an ellipsoidal inclusion and related problems", Proceedings of Royal Society, Vol. A-241, 1957, pp. 376-396.
5. Huysmans G., Verpoest I., Van Houtte P., "A poly-inclusion approach for the elastic modelling of knitted fabric composites", Acta Materials, Vol. 46, No. 9, 1998, pp. 3003-3013.
6. Huysmans G., Unified micromechanical models for textile composites, PhD, Department MTM, K.U. Leuven, 2000.
7. Loendersloot R., Lomov S. V., Akkerman R., Verpoest I., "Architecture and permeability of sheared carbon fibre non-crimp fabrics", Proceedings of the 24th International SAMPE Europe Conference, Ed.K. Drechsler, Paris, 2003a, pp. 141-148.
8. Loendersloot R., Thije R. H. W. t., Lomov S. V., Akkerman R., Verpoest I., "Geometry, Compressibility and Porosity of Sheared Non-Crimp Fabrics", Proceedings of the 14th SiComp Conference, 2003b, CD edition.
9. Lomov S. V., Gusakov A. V., Huysmans G., Prodromou A., Verpoest I. "Textile geometry preprocessor for meso-mechanical models of woven composites", Composites Science and Technology, Vol. 60, 2000a, pp. 2083-2095.
10. Lomov S. V., Verpoest I., "Compression of woven reinforcements: a mathematical model", Journal of Reinforced Plastics and Composites, Vol. 19, No. 16, 2000b, pp. 1329-1350.
11. Lomov S. V., Huysmans G., Luo Y., Parnas R., Prodromou A., Verpoest I., Phelan F. R. "Textile Composites Models: Integrating Strategies", Composites, part A, Vol. 32, No. 10, 2001a, pp. 1379-1394.
12. Lomov S. V., Huysmans G., Verpoest I., "Hierarchy of textile structures and architecture of fabric geometric models", Textile Research Journal, Vol. 71, No. 6, 2001b, pp. 534-543.
13. Lomov S. V., Belov E. B., Bischoff T., Ghosh S. B., Truong Chi T., Verpoest I., "Carbon composites based on multiaxial multiply stitched preforms, Part 1: Geometry of the preform", Composites part A, Vol. 33, No. 9, 2002a, pp. 1171-1183.
14. Lomov S. V., Nakai A., Parnas R. S., Bandyopadhyay Ghosh S., Verpoest I., "Experimental and theoretical characterisation of the geometry of flat two-and three-axial braids", Composite forming simulation, Textile Research Journal, Vol. 72, No. 8, 2002b, pp. 706-712.
15. Lomov S. V., Verpoest I., Peeters T., Roose D., Zako M. "Nesting in textile laminates: Geometrical modelling of the laminate", Composites Science and Technology, Vol. 63, No. 7, 2002c, pp. 993-1007.
16. Lomov S. V., Truong Chi T., Verpoest I., Peeters T., Roose V., Boisse P., Gasser A., "Mathematical modelling of internal geometry and deformability of woven preforms", International Journal of Forming Processes, Vol. 6, No. 3-4, 2003, pp. 413-442.
17. Lomov S. V., Van den Broucke B., Tumer F., Verpoest I., De Luka P., Dufort L. "Micromacro structural analysis of textile composite parts", Proceedings ECCM-11, Rodos, 2004, p. CD Edition.
18. Mori T., Tanaka K., "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metall.Mater., Vol. 21, 1973, pp. 571-574.
19. Takano N., Ohnishi Y., Zako M., Nishiyabu K., "Microstructure-based deep-drawning simulation of knitted fabric reinforced thermoplastics by homogenisation theory", International Journal of Solids and Structures, Vol. 38, 2001, pp. 6333-6356.
20. Truong Chi T., Lomov S. V., Verpoest I. "The mechanical properties of multiaxial multiply carbon fabric reinforced Epoxy composites", Proceedings of the 10th European Conference on Composite Materials (ECCM-10), Ed.H. Sol and J. Degrieck. Brugge, 2001, p.CD edition.
21. Van den Broucke B., Tumer F., Lomov S. V., Verpoest I., De Luca P., Dufort L. "Micromacro structural analysis of textile composite parts: Case study", Proceedings of the 25th International SAMPE Europe Conference, March 30th-April 1st., Paris, 2004, pp. 194-199.
22. Vettori M., Truong Chi T., Lomov S. V., Verpoest I. "Progressive damage characterization of stitched, biaxial, multi-ply carbon fabrics composites", Proceedings ECCM-11, Rodos, 2004, p. CD edition.
23. Whitcomb J., Chapman C. D., Tang X., "Derivation of boundary conditions for micromechanics analyses of plain and satin woven composites", Journal of Composite Materials, Vol. 34, No. 9, 2000, pp. 724-747.
24. Woo K., Suh Y. W., "Low degree of homogenity due to phase shift for woven composites", Journal of Composites Technology & Research Vol. 23, No. 4, 2001, pp. 239-246.
25. Zako M., Uetsuji Y., Kurashiki T. "Finite element analysis of damaged woven fabric composite materials", Composites Science and Technology, Vol. 63, 2003, pp. 507-516.