Micromechanical modeling of imperfect textile composites

International Journal of Engineering Science

Volumn 46, Issue 6, 2008, Pages 513-526

  Šejnoha, Michal ^a,b   Zeman, Jan ^a  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^b Centre for Integrated Design of Advances Structures   (Czech Republic)

Author keywords

Carbon carbon plain weave composites; Geometrical imperfections; Homogenization; Mori Tanaka method; Optimization; Porosity; Statistically equivalent periodic unit cell

Indexed keywords

GEOMETRY; HOMOGENIZATION METHOD; OPTIMIZATION; POROSITY; STATISTICAL METHODS; TEXTILES; YARN;

CARBON-CARBON PLAIN WEAVE COMPOSITES; GEOMETRICAL IMPERFECTIONS; MICROMECHANICAL MODELING; STATISTICALLY EQUIVALENT PERIODIC UNIT CELLS; TEXTILE COMPOSITES;

CARBON CARBON COMPOSITES;

EID: 41949139864     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2008.01.006     Document Type: Article

References (59)

1. Pešáková V., Smetana K., Balík K., Hruška J., Petrtýl M., Hulejová H., and Adam M. Biological and biochemical properties of the carbon composite and polyethylene implant materials. Journal of Material Science: Materials in Medicine 14 (2003) 531-537
2. B. Cox, G. Flanagan, Handbook of Analytical Methods for Textile Composites, Tech. Rep., NASA Contractor Report 4750, Langley Research Center, 1997. .
3. Chow T., and Ko F. Textile Structural Composites (1989), Elsevier, Amsterdam
4. Pastore C. Quantification of processing artifacts in textile composites. Composites Manufacturing 4 4 (1993) 217-226
5. B. Tomková, Study of porous structure of C/C composites, in: International Conference ICAPM, Evora, Portugal, 2004, pp. 379-387.
6. B. Tomková, B. Košková, The porosity of plain weave C/C composite as an input parameter for evaluation of material properties, in: International Conference Carbon 2004, Providence, USA, 2004, p. 50.
7. B. Tomková, Modelling of thermophysical properties of woven composites, Ph.D. thesis, TU Liberec, 2006.
8. Kuhn J.L., and Charalambides P.G. Modeling of plain weave fabric composite geometry. Journal of Composite Materials 33 3 (1999) 188-220
9. Whitcomb J., and Sriregan K. Effect of various approximations on predicted progressive failure in plain weave composites. Composite Structures 34 1 (1996) 13-20
10. Chung P., and Tamma K. Woven fabric composites - Developments in engineering bounds, homogenization and applications. International Journal for Numerical Methods in Engineering 45 12 (1999) 1757-1790
11. Fish J., Shek K., Pandheeradi M., and Shephard M. Computational plasticity for composite structures based on mathematical homogenization: theory and practice. Computer Methods in Applied Mechanics and Engineering 148 (1997) 53-73
12. Fish J., Yu Q., and Shek K. Computational damage mechanics for composite materials based on mathematical homogenization. International Journal for Numerical Methods in Engineering 45 11 (1999) 1657-1679
13. Fish J., and Shek K. Multiscale analysis of large-scale nonlinear structures and materials. International Journal for Computational Civil and Structural Engineering 1 1 (2000) 79-90
14. Whitcomb J., and Tang X. Effective moduli of woven composites. Journal of Composite Materials 35 23 (2001) 2127-2144
15. Lomov S., Verpoest I., Peeters T., Roose D., and Zako M. Nesting in textile laminates: geometrical modelling of the laminate. Composites Science and Technology 63 7 (2003) 993-1007
16. Zeman J., and Šejnoha M. Homogenization of balanced plain weave composites with imperfect microstructure: Part I - Theoretical formulation. International Journal for Solids and Structures 41 22-23 (2004) 6549-6571
17. M. Košek, B. Košková, Analysis of yarn wavy path periodicity of textile composites using Discrete Fourier Transform, in: Proceeding of International Conference on Composite Engineering ICCE/6, Orlando, Florida, 1999, pp. 427-429.
18. B. Košková, S. Vopička, Determination of yarn waviness parameters for C/C woven composites, in: Proceedings of International Conference CARBON'01, Lexington (KY,USA), 2001, pp. 1-6.
19. M. Košek, P. Seják, Efficient automated approximation of real yarn waviness in woven composites, in: Proceedings of STRUTEX 11, Liberec, Czech Republic, 2004, pp. 117-124.
20. B. Košková, S. Vopička, Geometrical aspects of woven composite structure, in: Proceedings of International Conference Reinforced Plastics, Karlovy Vary, Czech Republic, 2001, pp. 96-102.
21. S. Vopička, Popis geometrie vyztužujícího systému v tkaninových kompozitech [Description of geometry of textile composites reinforcing system], Ph.D. thesis, Technical University of Liberec, 2004 (in Czech).
22. Zeman J., and Šejnoha M. Numerical evaluation of effective properties of graphite fiber tow impregnated by polymer matrix. Journal of the Mechanics and Physics of Solids 49 1 (2001) 69-90
23. Zeman J., and Šejnoha M. From random microstructures to representative volume elements. Modelling and Simulation in Materials Science and Engineering 15 4 (2007) 325-335
24. Michel J.C., Moulinec H., and Suquet P. Effective properties of composite materials with periodic microstructure: a computational approach. Computer Methods in Applied Mechanics and Engineering 172 (1999) 109-143
25. Wentorf R., Collar R., Shephard M., and Fish J. Automated modeling for complex woven mesostructures. Computer Methods in Applied Mechanics and Engineering 172 1-4 (1999) 273-291
26. Matouš K., Inglis H., Gua X., Rypl D., and Jackson T. Multiscale modeling of solid propellants: from particle packing to failure. Composites Science and Technology 67 7-8 (2007) 1694-1708
27. D. Rypl, Sequential and parallel generation of unstructured 3D meshes, vol. 2 of CTU Reports, CTU in Prague, 1998.
28. Bittnar Z., and Šejnoha J. Numerical Methods in Structural Engineering (1996), ASCE Press
29. Torquato S. Random Heterogeneous Materials: Microstructure and Macroscopic Properties (2002), Springer-Verlag
30. Kachanov M. Effective elastic properties of cracked solids: critical review of some basic concepts. Applied Mechanics Review 45 8 (1992) 304-335
31. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of elastic materials with misfitting inclusions. Acta Metallurgica 21 (1973) 571
32. Benveniste Y. A new approach to the application of Mori-Tanaka theory in composite materials. Mechanics of Materials 6 (1987) 147-157
33. Gommers B., Verpoest I., and Van Houtte P. The Mori-Tanaka method applied to textile composite materials. Acta Materialia 46 6 (1998) 2223-2235
34. Eshelby J. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proceeding of Royal Society, Series A 241 (1957) 376-396
35. Benveniste Y., Dvorak G., and Chen T. On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media. Journal of the Mechanics and Physics of Solids 39 7 (1991) 927-946
36. Benveniste Y., Dvorak G., and Chen T. On effective properties of composites with coated cylindrically orthotropic fibers. Mechanics of Materials 12 (1991) 289-297
37. Schjødt Thomsen J., and Pyrz R. The Mori-Tanaka stiffness tensor: diagonal symmetry, complex fibre orientations and non-dilute volume fractions. Mechanics of Materials 33 (2001) 531-544
38. J. Zeman, Analysis of composite materials with random microstructure, vol. 7(5) of CTU Reports, CTU in Prague, 2003, 177pp.
39. Piat R., Tsukrov I., Mladenov N., Guellali M., Ermel R., Beck E., and Hoffman M. Material modeling of the CVI-infiltrated carbon felt II. Statistical study of the microstructure, numerical analysis and experimental validation. Composite Science and Technology 66 15 (2007) 2769-2775
40. J. Skoček, J. Zeman, M. Šejnoha, Effective properties of carbon-carbon textile composites: application of the Mori-Tanaka method, Mechanics of Materials, submitted for publication.
41. Hrstka O., and Kučerová A. Improvements of real coded genetic algorithms based on differential operators preventing the premature convergence. Advances in Engineering Software 35 3-4 (2004) 237-246
42. Kučerová A., Lepš M., and Skoček J. Large black-box functions optimization using radial basis function networks. In: Topping B. (Ed). Proceedings of the Eight International Conference on the Application of AI to Civil, Structural and Environmental Engineering (2005), Civil-Comp Press on CD ROM
43. Torquato S., and Stell G. Microstructure of two-phase random media. I. The n-point probability functions. Journal of Chemical Physics 77 4 (1982) 2071-2077
44. Lu B., and Torquato S. Lineal-path function for random heterogeneous materials. Physical Review E 45 2 (1992) 922-929
45. Frigo M., and Johnson S.G. The design and implementation of FFTW3. Proceedings of the IEEE 93 2 (2005) 216-231 special issue on Program Generation, Optimization, and Platform Adaptation
46. Yeong C.L.Y., and Torquato S. Reconstructing random media. Physical Review E 57 1 (1998) 495-506
47. Matouš K., Lepš M., Zeman J., and Šejnoha M. Applying genetic algorithms to selected topics commonly encountered in engineering practice. Computer Methods in Applied Mechanics and Engineering 190 13-14 (2000) 1629-1650
48. Hrstka O., Kučerová A., Lepš M., and Zeman J. A competitive comparison of different types of evolutionary algorithms. Computers & Structures 81 18-19 (2003) 1979-1990
49. M. Palán, Thermal properties of C-C composites reinforced by textile fabric, Ph.D. thesis, TU Liberec, 2002 (in Czech).
50. Kuhn J.L., and Charalambides P.G. Elastic response of porous matrix plain weave fabric composites: Part I - Modeling. Journal of Composite Materials 32 16 (1998) 1426-1471
51. Kuhn J.L., and Charalambides P.G. Elastic response of porous matrix plain weave fabric composites: Part II - Results. Journal of Composite Materials 32 16 (1998) 1472-1507
52. B. Tomková, M. Šejnoha, J. Novák, J. Zeman, Evaluation of effective thermal conductivities of porous textile composites, Composites - Part B, submitted for publication.
53. Özdemir I., Brekelmans W.A.M., and Geers M.G.D. Computational homogenization for heat conduction in heterogeneous solids. International Journal for Numerical Methods in Engineering 73 2 (2008) 185-204
54. D.H. Pahr, P.K. Zysset, FEM surface and volume mesh extraction from CT bone data using a new segmentation method and deformable GVF models, IEEE Transactions on Medical Imaging, submitted for publication.
55. Kachanov M., Tsukrov I., and Shafiro B. Effective moduli of solids with cavities of various shapes. Applied Mechanics Review 45 1 (1994) 151-174
56. Tsukrov I., Piat R., Novak J., and Schnack E. Micromechanical modeling of porous carbon/carbon composites. Mechanics of Advanced Materials and Structures 12 (2005) 43-54
57. Piat R., Tsukrov I., Mladenov N., Verijenko M., Guellali M., Schnack E., and Hoffman M. Material modeling of the CVI-infiltrated carbon felt I. Basic formulae, theory and numerical experiments. Composite Science and Technology 66 15 (2007) 2997-3003
58. Sevostianov I., Yilmaz N., Kushch V., and Levin V. Effective elastic properties of matrix composites with transversely-isotropic phases. International Journal of Solids and Structures 42 (2004) 455-476
59. Gavazzi A., and Lagoudas D. On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites. Computational Mechanics 7 1 (1990) 13-19