Abstract
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 modeling 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.
Highlights
Composites are increasingly popular in civil engineering due to their ability to fulfil demands where conventional materials such as concrete and steel cannot meet engineering requirements, including long term durability or extreme large clear span/space
In order to take the variability of material properties in mesoscale constituents into consideration when predicting the effective elastic properties of woven textile composite, a stochastic homogenization method is developed by integrating the stochastic finite element method with a multi-scale computational homogenization method
A probabilistic homogenization method is proposed for the prediction of the effective elastic properties of textile composites when taking randomness of the elastic properties of the constituents into consideration
Summary
Composites are increasingly popular in civil engineering due to their ability to fulfil demands where conventional materials such as concrete and steel cannot meet engineering requirements, including long term durability or extreme large clear span/space. In almost all the existing studies, the stochastic finite element based uncertainty quantification methods are applied to investigate relatively simple unidirectional composites with constituents comprising isotropic materials, whereas corresponding research on woven textile composite is seldom found. Due to the complex geometry of the fabric and the waviness of the yarn, the influence of uncertainties in the microscopic material properties on the effective elastic properties may differ from those identified in unidirectional fiber reinforced composites. In order to take the variability of material properties in mesoscale constituents into consideration when predicting the effective elastic properties of woven textile composite, a stochastic homogenization method is developed by integrating the stochastic finite element method with a multi-scale computational homogenization method. The accuracy and the computational efficiency of the developed formulation are demonstrated through numerical studies on a plain-weave textile composite
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