Effect of Yarn Distortion on the Mechanical Properties of Fiber-Bar Composites Reinforced by Three-Dimensional Weaving

Potluri, P., Hogg, P., Arshad, M., Jetavat, D., Jamshidi, P.: Influence of fibre architecture on impact damage tolerance in 3D woven composites. Appl. Compos. Mater. 19(5), 799–812 (2012)

Bejan, L., Taranu, N., Sirbu, A.: Effect of hybridization on stiffness properties of woven textile composites. Appl. Compos. Mater. 20(2), 185–194 (2013)

Ai, S.G., Zhu, X.L., Mao, Y.Q., Peng, Y.M., Fang, D.N.: Finite element modeling of 3D orthogonal woven C/C composite based on micro-computed tomography experiment. Appl. Compos. Mater. 21, 603–614 (2014)

Phoenix, S.L.: Probabilistic inter-fiber dependence and the asymptotic strength distribution of classic fiber bundles. Int. J. Eng. Sci. 13, 287–304 (1975)

Phoenix, S.L.: Statistical theory for the strength of twisted fiber bundles with applications to yarns and cables. Text. Res. J. 49, 407–23 (1979)

Chudoba, R., Vořechovský, M., Konrad, M.: Stochastic modeling of multi-filament yarns: I. Random properties within the cross-section and size effect. Int. J. Solids Struct. 43, 413–434 (2006)

Vořechovský, M., Chudoba, R.: Stochastic modeling of multi-filament yarns: II. Random properties over the length and size effect. Int. J. Solids Struct. 43, 435–458 (2006)

Vořechovský, M.: Incorporation of statistical length scale into Weibull strength theory for composites. Compos. Struct. 92, 2027–2034 (2010)

Chudoba, R., Vořechovský, M., Eckers, V., Gries, T.: Effect of twist, fineness, loading rate and length on tensile behavior of multifilament yarns (a multivariatestudy). Text. Res. J. (Sage). 77(11), 880–91 (2007)

Lekou, D.J., Philippidis, T.P.: Mechanical property variability in FRP laminates and its effect on failure prediction. Compos. Part B 39, 1247–1256 (2008)

Jeong, H.K., Shenoi, R.A.: Probabilistic strength analysis of rectangular FRP plates using Monte Carlo simulation. Comput. Struct. 76(3), 219–235 (2000)

Onkar, A.K., Upadhyay, C.S., Yadav, D.: Probabilistic failure of laminated composite plates using the stochastic finite element method. Compos. Struct. 77(1), 79–91 (2007)

Chen, L., Tao, X.M., Choy, C.L.: On the microstructure of three-dimensional braided performs. Compos. Sci. Technol. 59, 391–404 (1999)

Yao, L., Wang, X., Xu, F.J., Jiang, M.W., Zhou, D.C., Qiu, Y.P.: Effect of wire space and weaving patternon performance of microstrip antennas integrated in the three dimensional orthogonal woven composites. Appl. Compos. Mater. 19(1), 21–30 (2012)

Cuong, H.M., Boussu, F., Kanit, T., Crepin, D., Imad, A.: Effect of frictions on the ballistic performanceof a 3D warp interlock fabric: numerical analysis. Appl. Compos. Mater. 19(3–4), 333–347 (2012)

Matveeva, A.Y., Pyrlin, S.V., Ramos, M.M.D., Böhm, H.J., Hattum, F.W.J.: Influence of waviness and curliness of fibres on mechanical properties of composites. Comput. Mater. Sci. 87, 1–11 (2014)

Velmurugan, R., Srinivasulu, G., Jayasankar, S.: Influence of fiber waviness on the effective properties of discontinuous fiber reinforced composites. Comput. Mater. Sci. 91, 339–349 (2014)

Lemanski, S.L., Sutcliffe, M.P.F.: Compressive failure of finite size unidirectional composite laminates with a region of fibre waviness. Compos. Part A 43, 435–444 (2012)

Trials, D., Costa, J., Fiedler, B., Hobbiebrunken, T., Hurtado, J.E.: A two-scale method for matrix cracking probability in fibre-reinforced composites based on a statistical representative volume element. Compos. Sci. Technol. 66, 1766–1777 (2006)

Blacklock, M., Bale, H., Begley, M., Cox, B.: Generating virtual textile composite specimens using statistical data from micro-computed tomography: 1D tow representations for the Binary Model. J. Mech. Phys. Solids. 60, 451–470 (2012)

Rinaldi, R.G., Blacklock, M., Bale, H., Begley, M., Cox, B.N.: Generating virtual textile composite specimens using statistical data from micro-computed tomography: 3D tow representations. J. Mech. Phys. Solids. 60, 1561–1581 (2012)

Alkhateb, H., Al-Ostaz, A., Alzebdeh, K.I.: Developing a stochastic model to predict the strengthand crack path of random composites. Compos. Part B 40, 7–16 (2009)

Yushanov, S.P., Bogdanovich, A.E.: Analytical probability model of initial failure and reliability of laminated composite structures. Int. J. Solids Struct. 35(7–8), 665–685 (1998)

Vanaerschot, A., Cox, B.N., Lomov, S.V., Vandepitte, D.: Stochastic multi-scale modeling of textile composite based on internal geometry variability. Comput. Struct. 122, 55–64 (2013)

Guilleminot, J., Soize, C., Kondo, D., Binetruy, C.: Theoretical framework and experimental procedure for modeling mesoscopic volume fraction stochastic fluctuations in fiber reinforced composites. Int. J. Solids Struct. 45, 5567–5583 (2008)

Mehre, L., Doostan, A., Moens, D., Vandepitte, D.: Stochastic identification of composite material properties from limited experimental databases, Part II: Uncertainty modeling. Mech. Syst. Signal Process. 27, 484–498 (2012)

Yushanov, S.P., Bogdanovich, A.E.: Stochastic theory of composite materials with random waving of the reinforcements. Int. J. Solids Struct. 35(22), 2901–2930 (1998)

Fang, G.D., Liang, J., Wang, B.L.: The effect of yarn distortion on the mechanical properties of 3D four-directional braided composites. Compos. Part A 40, 343–350 (2009)

Chamis, C.C.: Mechanics of composites materials: past, present and future[J]. J. Compos. Technol. Res. 11(1), 3–14 (1989)

Chamis, C.C.: Simplified composite micromechanics equation for strength, fracture toughness, impact resistance and environmental effects[R]. NASA, N84-27832 (1984)

Sun, H.Y., Qiao, X.: Prediction of the mechanical propertites of three-dimensionally braided composites. Compos. Sci. Technol. 57, 623–629 (1997)

Xia, Z.H., Zhou, C.W., Yong, Q.L., Wang, X.W.: On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites[J]. Int. J. Solids Struct. 43(2), 266–278 (2006)

ASTM D3039/D3039M-00, standard test method for tensile properties of polymer matrix composite materials [S], (2000)

Shan, Z.D., Kang, H.R., Zang, Y., Liu, F.: Microscopic Structure model and finite element simulation of mechanical properties of fiber-bar composites reinforced by three dimensional weaving. Acta Mater Compos Sin. 32(1), 138–149 (2015)

Xu, K., Xu, X.W.: Nonlinear numerical analysis of progressive damage of 3D braided composites. Chin J Theor Appl Mech. 39(3), 398–407 (2007)