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Perturbation-based stochastic multi-scale computational homogenisation method for woven textile composites

Lookup NU author(s): Dr Xiaoyi Zhou, Professor Peter Gosling



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


In this paper, a stochastic homogenization method that couples the state-of-the-art computational multi-scale homogenization method with the stochastic finite element method, is proposed to predict the statistics of the effective elastic properties of textile composite materials. Uncertainties associated with the elastic properties of the constituents are considered. Accurately modelling the fabric reinforcement plays an important role in the prediction of the effective elastic properties of textile composites due to their complex structure. The p-version finite element method is adopted to refine the analysis. Performance of the proposed method is assessed by comparing the mean values and coefficients of variation for components of the effective elastic tensor obtained from the present method against corresponding results calculated by using Monte Carlo simulation method for a plain-weave textile composite. Results show that the proposed method has sufficient accuracy to capture the variability in effective elastic properties of the composite induced by the variation of the material properties of the constituents.

Publication metadata

Author(s): Zhou X-Y, Gosling PD, Pearce CJ, Ullah Z, Kaczmarczyk L

Publication type: Article

Publication status: Published

Journal: International Journal of Solids and Structures

Year: 2016

Volume: 80

Pages: 368-380

Print publication date: 01/02/2016

Online publication date: 26/10/2015

Acceptance date: 07/09/2015

Date deposited: 25/11/2015

ISSN (print): 0020-7683

ISSN (electronic): 1879-2146

Publisher: Pergamon Press


DOI: 10.1016/j.ijsolstr.2015.09.008


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Funder referenceFunder name
EP/K026925/1UK Engineering and Physical Sciences Research Council (EPSRC)