Ultimate Strength Prediction of Fibrous Composites only upon Independently Measured Constituent Properties

Abstract:

This study presents an accurate and easy-to-use micromechanical model to predict the ultimate strength of unidirectional polymer composites under an arbitrary load condition only upon independently measured constituent properties. In this model, the micromechanical method based on generalized model of cells (GMC), which effectively predict the nonlinear deformation of unidirectional composites, is used to analyze the repeating unit cells of composites. At the same time, a unified plastic theory (i.e. modified Ramaswamy-Stouffer model) is incorporated into the GMC's analytical framework to describe viscoplastic behaviors of matrix phase. Additionally, because of the stress concentration effect which causes the difference between the matrix in-situ and original strength behaviors, a stress concentration factor is introduced in order to utilize the measured constituent properties directly. The prediction results with SCF match better with the experimental results than the prediction results without SCF. In addition, the prediction results show that the presence of thermal residual stress and material plastic effects generally has important influence on the strength prediction of a composite.

• Periodical: Materials Science Forum (Volume 1015)
• Pages: 45-50
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.1015.45
• Online since: November 2020
• Authors: Xiao Jun Zhu*, Hon Gyi Qu, Ke Hao Xin, Xiang Ru Qiu, Ju Wei Chen
• Keywords: Composites, Micromechanical Model, Strength, Stress Concentration Factor

References

[1] Kim, E.-H.; Rim, M.-S.; Lee, I.; Hwang, T.-K., Composite damage model based on continuum damage mechanics and low velocity impact analysis of composite plates. Compos Struct 2013, 95, pp.123-134.

DOI: 10.1016/j.compstruct.2012.07.002

[2] Zhu, X.; Chen, X.; Zhai, Z.; Yang, Z.; Li, X.; He, Z., Strain Rate Dependent Deformation of a Polymer Matrix Composite with Different Microstructures Subjected to Off-Axis Loading. Math Probl Eng 2014, (2014).

DOI: 10.1155/2014/590787

[3] Vaughan, T. J.; McCarthy, C. T., A micromechanical study on the effect of intra-ply properties on transverse shear fracture in fibre reinforced composites. Composites Part A: Applied Science and Manufacturing 2011, 42, (9), pp.1217-1228.

DOI: 10.1016/j.compositesa.2011.05.004

[4] Huang, Z. M., Strength formulae of unidirectional composites including thermal residual stresses. Mater Lett 2000, 43, (1–2), pp.36-42.

DOI: 10.1016/s0167-577x(99)00227-x

[5] Yao, Z.; Huang, Z.-M., Stress concentration factor in the matrix reinforced with fiber having an interface layer. Journal of Reinforced Plastics and Composites 2012, 0731684412453214.

DOI: 10.1177/0731684412453214

[6] Paley, M.; Aboudi, J., Micromechanical analysis of composites by the generalized cells model. Mech Mater 1992, 14, (2), pp.127-139.

DOI: 10.1016/0167-6636(92)90010-b

[7] Huang, Z.-M., A bridging model prediction of the ultimate strength of composite laminates subjected to biaxial loads. Composites Science and Technology 2004, 64, (3), pp.395-448.

DOI: 10.1016/s0266-3538(03)00220-3