Equivalent mechanical properties of textile monolayers from discrete asymptotic homogenization

Journal of the Mechanics and Physics of Solids

Volumn 61, Issue 12, 2013, Pages 2537-2565

  Goda, Ibrahim ^a,b   Assidi, Mohamed ^c   Ganghoffer, Jean François ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

^b Fayoum University   (Egypt)

^c LUXEMBOURG INSTITUTE OF SCIENCE AND TECHNOLOGY   (Luxembourg)

Author keywords

Discrete homogenization; Meso scale unit cell model; Micromechanical model; Micropolar constants; Textile monolayers

Indexed keywords

BIOMECHANICS; CONTINUUM MECHANICS; FINITE ELEMENT METHOD; MECHANICAL PROPERTIES; MONOLAYERS; TEXTILES; TRUSSES; YARN;

ASYMPTOTIC HOMOGENIZATION; DISCRETE HOMOGENIZATIONS; EFFECTIVE MECHANICAL PROPERTIES; FINITE ELEMENT SIMULATIONS; MICRO-MECHANICAL MODELING; MICROPOLAR; TRANSVERSE SHEAR DEFORMATION; UNIT CELL MODELING;

WEAVING;

EID: 84888636340     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2013.07.014     Document Type: Article

References (58)

1. Assidi, M., Ben Boubaker, B., Ganghoffer, J. F., 2011. Equivalent properties of monolayer fabric from mesoscopic modelling strategies. Int. J. Solids Struct. 48, 2920-2930.
2. Bakhvalov, N. S., Panasenko, G. P., 1989. Homogenization Averaging Processes in Periodic Media. Kluwer Academic Publishing, Dordrecht.
3. Baseau, E., 2003. Finite deformation of elastic-plastic filamentary networks. Int. J. Nonlinear Mech 38, 1473-1479.
4. Ben Boubaker, B., Haussy, B., Ganghoffer, J. F., 2007a. Consideration of the yarn-yarn interactions in meso/macro discrete model of the fabric. Part I: single yarn behavior. Mech. Res. Commun. 34, 359-370.
5. BenBoubaker, B., Haussy, B., Ganghoffer, J. F., 2007b. Consideration of the yarn-yarn interactions in meso/macro discrete model of the fabric, Part II: woven fabric under uniaxial and biaxial extension. Mech. Res. Commun. 34, 371-378.
6. Ben Boubaker, B., Haussy, B., Ganghoffer, J. F., 2007c. Discrete woven structure model: yarn-on-yarn friction. C. R. M. 335, 150-158.
7. Ben Boubaker, B., Haussy, B., Ganghoffer, J. F., 2007d. Discrete models of woven structures. Macroscopic approach. Composites B 38, 498-505.
8. Bensoussan, A., Lions, J. L., Papanicolaou, G., 1978. Asymptotic Analysis for Periodic Structures. North Holland, Amsterdam.
9. Boisse, P., Borr, M., Buet, K., Cherouat, A., 1997. Finite element simulations of textile composite forming including the biaxial fabric behaviour. Composites B 28, 453-464.
10. Boisse, P., Gasser, A., Hivet, G., 2001. Analyses of fabric tensile behaviour: determination of the biaxial tension-strain surfaces and their use in forming simulations. Composites A 32, 1395-1414.
11. Boisse, P., Zouari, B., Gasser, A., 2005. A mesoscopic approach for the simulation of woven fibre composite forming. Compos. Sci. Technol. 65, 429-436.
12. Boisse, P., Zouari, B., Daniel, J., 2006. Importance of in-plane shear rigidity in finite element analyses of woven fabric composite preforming. Composites A 37, 2201-2212.
13. Caillerie, D., Mourad, A., Raoult, A., 2006. Discrete homogenization in graphene sheet modeling. J. Elast. 84, 33-68.
14. Devries, F., Dumontet, H., Duvaut, G., Lene, F., 1989. Homogenization and damage for composite structures. Int. J. Numer. Meth. Eng. 27, 285-298.
15. Dos Reis, F., Ganghoffer, J. F., 2012. Equivalent mechanical properties of auxetic lattices from discrete homogenization. Comput. Mater. Sci. 51, 314-321.
16. Duan, Y., Keefe, M., Bogetti, T. A., Powers, B., 2006b. Finite element modeling of transverse impact on a ballistic fabric. Int. J. Mech. Sci. 48, 33-43.
17. Durville, D., 2002. Modélisation par éléments finis des propriétés mécaniques de structures textiles: de la fibre au tissu. Eur. J. Comput. Mech. 11, 463-477.
18. Fish, J., Yu, Q., Shek, K., 1999. Computational damage mechanics for composite materials based on mathematical homogenisation. Int. J. Numer. Meth. Eng. 45, 1657-1679.
19. Guedes, J. M., Kikuchi, N., 1990. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Comput. Methods Appl. Mech. Eng. 83, 143-198.
20. Hamila, N., Boisse, P., Sabourin, F., Brunet, M., 2009. A semi-discrete shell finite element for textile composite reinforcement forming simulation. Int. J. Numer. Methods Eng. 79, 1443-1466.
21. Hearle, J. W. S., Grosberg, P., Baker, S., 1969. Structural Mechanics of Fibers, Yarns, & Fabrics. 1. John Wiley & Sons, New York, USA..
22. Hearle, J. W. S., Potluri, P., Thammandra, V. S., 2001. Modelling fabric mechanics. J. Text. Inst. 92(3, No. 1), 53-69.
23. Hollister, S. J., Kikuchi, N., 1992. A comparison of homogenization and standard mechanics analysis for periodic porous composites. Comput. Mech. 10, 73-95.
24. Ivanov, I., Tabiei, A., 2004. Loosely woven fabric model with viscoelastic crimped fibres for ballistic impact simulations. Int. J. Numer. Methods Eng. 61(10), 1565-1583.
25. Jeguirim, S., Fontaine, S., 2008. Internal report, LPMT. Université de Haute-Alsace, Mulhouse, France.
26. Kanouté, P., Boso, D., Chaboche, J., Schrefler, B., 2009. Multiscale methods for composites: a review. Arch. Comput. Meth. Eng. 16, 31-75.
27. Kato, S., Yoshiro, T., Minami, H., 1999. Formulation of constitutive equations for fabric membranes based on the concept of fabric lattice model. Eng. Struct. 21, 691-708.
28. Kawabata, S., Niwa, M., Kawai, H., 1973a. The finite-deformation theory of plain-weave fabrics. Part I: The biaxial-deformation theory. J. Text. Inst. 64, 21-46.
29. Kawabata, S., Niwa, M., Kawai, H., 1973b. The finite-deformation theory of plain-weave fabrics. Part II: The uniaxial-deformation theory. J. Text. Inst. 64, 47-61.
30. Kawabata, S., Niwa, M., Kawai, H., 1973c. The finite-deformation theory of plain-weave fabrics. Part III: The shear-deformation theory. J. Text. Inst. 64, 62-85.
31. King, M. J., Jearanaisilawong, P., Socrate, S., 2005. A continuum constitutive model for the mechanical behavior of woven fabrics. Int. J. Solids Struct. 42, 3867-3896.
32. Lakes, R., 1995. Experimental methods for study of Cosserat elastic solids and other generalized elastic continua. In: Muhlhaus, H-B. (Ed.), Continuum Models for Materials with Microstructure. Wiley, New York, pp. 1-22.
33. Lomov, S., Ivanov, D., Verpoest, I., Zako, M., Kurashiki, T., Nakai, H., Hirosawa, S., 2007. Meso-FE modelling of textile composites: road map, data flow and algorithms. Compos. Sci. Technol. 67, 1870-1891.
34. Mourad, A., 2003. Description Topologique de L'architecture Fibreuse et Modelisation Mecanique du Myocarde (Ph. D.thesis). I. N. P. L. Grenoble.
35. Ng, S., Tse, P., Lau, K., 1998. Numerical and experimental determination of the in-plane elastic properties of 2/2 Twill weave fabric composites. Composites B 29, 735-744.
36. Oliveira, J. A., Pinho-da-Cruz, J., Teixeira-Dia, F., 2009. Asymptotic homogenisation in linear elasticity. Part II: finite element procedures and multiscale applications. Comput. Mater. Sci. 45, 1081-1096.
37. Parsons, E. M., Weerasooriya, T., Sarva, S., Socrate, S., 2010. Impact of woven fabric: experiments and mesostructure-based continuum-level simulations. J. Mech. Phys. Solids 58, 1995-2021.
38. Peirce, F. T., 1937. The geometry of cloth structure. J. Text. Inst. 28(T45), 43-77.
39. Peng, X. Q., Cao, J., 2000. Numerical determination of mechanical elastic constants of textile composites. 15th Annual Technical Conference of the American Society for Composite, College Station TX, Sept., 677-688.
40. Peng, X., Cao, J., 2002. A dual homogenization and finite element approach for material characterization of textile composites. Composites B 33, 45-56.
41. Peng, X., Cao, J., 2005. A continuum mechanics-based non-orthogonal constitutive model for woven composite fabrics. Composites A 36, 859-874.
42. Raoult, A., Caillerie, D., Mourad, A., 2008. Elastic lattices: equilibrium, invariant laws and homogenization. Ann. Univ. Ferrara 54, 297-318.
43. Rattensperger, H., Eberhardsteiner, J., Mang, H. A., 2003. Numerical investigation of high pressure hydraulic hoses with steel wire braid. In: Proceedings of the IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains, pp. 407-416.
44. Realff, M. L., 1992. Mechanical Properties of Fabrics Woven from Yarns Produced by Different Spinning Technologies (Ph. D. Thesis). Massachusetts Institute of Technology.
45. Realff, M. L., Boyce, M. C., Backer, S., 1997. A micromechanical model of the tensile behavior of woven fabric. Text. Res. J. 67, 445-459.
46. Sagar, T. V., Potluri, P., Hearle, J. W. S., 2003. Mesoscale modelling of interlaced fibre assemblies using energy method. Comput. Mater. Sci. 28(1), 49-62.
47. Sanchez-Palencia, E., 1980. Non-Homogeneous Media and Vibration Theory. Springer, Berlin.
48. Shahkarami, A., Vaziri, R., 2007. A continuum shell finite element model for impact simulation of woven fabrics. Int. J. Imp. Eng. 34, 104-119.
49. Shockey, D. A., Elrich, D. C., Simons, J. W., 1999a. Improved Barriers to Turbine Engine Fragments: Interim Report I. DOT/FAA AR-99/8, I.
50. Shockey, D. A., Elrich, D. C., Simons, J. W., 1999b. Improved Barriers to Turbine Engine Fragments: Interim Report II. DOT/FAA AR-99/8, II.
51. Shockey, D. A., Elrich, D. C., Simons, J. W., 2001. Improved Barriers to Turbine Engine Fragments: Interim Report III. DOT/FAA AR-99/8, III.
52. Tabiei, A., Yi, W., 2002. Comparative study of predictive methods for woven fabric composite elastic properties. Compos. Struct. 58, 149-164.
53. Talebi, H., Wong, S. V., Hamouda, A. M. S., 2009. Finite element evaluation of projectile nose angle effects in ballistic perforation of high strength fabric. Compos. Struct. 87(4), 314-320.
54. Tanov, R. R., Brueggert, M., 2003. Finite element modeling of non-orthogonal loosely woven fabrics in advanced occupant restraint systems. Fin. Elem. Anal. Des. 39, 357-367.
55. Tolenado, A., Murakami, H., 1987. A high-order mixture model for periodic particulate composites. Int. J. Solids Struct. 23, 989-1002.
56. Xue, P., Peng, X., Cao, J., 2003. A non-orthogonal constitutive model for characterizing woven composites. Composites A 34, 183-193.
57. Xue, P., Cao, J., Chen, J., 2005. Integrated micro/macro-mechanical model of woven fabric composites under large deformation. Compos. Struct. 70, 69-80.
58. Zhang, G. M., Batra, R. C., Zheng, J., 2008. Effect of frame size, frame type, and clamping pressure on the ballistic performance of soft body armor. Composites B 39(3), 476-489.