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Computational structural analysis of composites with spectral-based stochastic multi-scale method

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Abstract

Composite materials and structures may be characterized at different length scales, ranging from the micro-scale at the fiber–matrix level, meso-scale at the lamina–laminate level, to structural macro-scale. However, uncertainties in material properties and geometric parameters due to manufacturing, defects and assembly processes may occur at various length scales. This paper presents a computational framework for stochastic analysis of composites with consideration of stochastic parameters at micro- and meso-scales. The novelty of the proposed framework is the integration of the spectral stochastic finite element method and asymptotic homogenization method within a finite element technique, which was implemented through \(\hbox {ABAQUS}^{\circledR }\). This spectral stochastic homogenization method efficiently predicts the propagation of uncertainties from the constituent to ply levels. The derived probability distributions of effective properties were verified by Monte Carlo simulation. Another novelty is the study of the influence of stochastic parameters at both micro-scale and meso-scale on the failure prediction of composite structures, without assumptions of probabilistic characteristic of ply properties commonly used in a single-scale stochastic analysis. The up-scaled uncertainties combined with other randomness at meso-scale (strength properties and ply orientations) are provided as the input of meso-scale stochastic strength analysis of a quasi-isotropic laminate based on classical lamination theory (CLT) and ply discount. The probability distribution of first-ply failure and ultimate failure loads are obtained and their sensitivity factors with respect to input variations are presented.

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Acknowledgements

The support of the research scholarship for the first author and the research Grant (No. R265000523646) from NUS are gratefully acknowledged.

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  1. Department of Mechanical Engineering, National University of Singapore, 21 Lower Kent Ridge Road, Singapore, 119077, Singapore

    Jie Zhi & Tong-Earn Tay

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  1. Jie Zhi
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Correspondence to Jie Zhi.

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Zhi, J., Tay, TE. Computational structural analysis of composites with spectral-based stochastic multi-scale method. Multiscale and Multidiscip. Model. Exp. and Des. 1, 103–118 (2018). https://doi.org/10.1007/s41939-018-0009-9

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