| 基于两尺度代表体元的含孔隙复合材料单层板弹性常数预测 |
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| 引用本文： | 任明法,常鑫.基于两尺度代表体元的含孔隙复合材料单层板弹性常数预测[J].复合材料学报,2016,33(5):1111-1118. |
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| 作者姓名： | 任明法 常鑫 |
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| 作者单位： | 1.大连理工大学 工程力学系, 大连 116024; |
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| 基金项目： | 国家自然科学基金(11372058)，国家“973”计划(2014CB046506 |
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| 摘 要： | 为预测含孔隙复合材料单层板的弹性常数,以单向纤维增强复合材料单层板为研究对象,首先,基于细观力学方法,提出了一种基于两尺度代表体元的含孔隙复合材料单层板弹性常数预测方法;然后,基于纤维排列和孔隙特征,建立了纤维-基体尺度的代表体元模型和含孔隙复合材料单层板的代表体元模型,并采用有限元方法求解弹性常数;接着,采用周期对称边界条件,在纤维-基体尺度先进行第1步等效,得到不含孔隙复合材料单层板的弹性常数;最后,在含孔隙复合材料单层板的代表体元模型上进行第2步等效,完成了含孔隙复合材料单层板弹性常数的预测。结果显示:应用该方法得到的计算结果与试验数据吻合较好;结合纤维、基体弹性常数及孔隙形态的模型,该方法可以反映各因素对复合材料单层板弹性常数的影响。
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| 关 键 词： | 缺陷 孔隙 弹性常数 周期对称边界条件 细观尺度 |
| 收稿时间： | 2015-10-27 |
Prediction for elastic coefficients of composite single layer laminate containing voids based on two-scale representative volume elements |
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| REN Mingfa,CHANG Xin.Prediction for elastic coefficients of composite single layer laminate containing voids based on two-scale representative volume elements[J].Acta Materiae Compositae Sinica,2016,33(5):1111-1118. |
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| Authors: | REN Mingfa CHANG Xin |
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| Affiliation: | 1.Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;2.State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In order to predict the elastic coefficients of composite single layer laminate containing voids,the unidi-rectional fiber reinforced composite single layer laminate were used as research obj ect,and based on mesomechanics method,a prediction method for elastic coefficients of composite single layer laminate containing voids based on two-scale representative volume cells was proposed firstly.Then,based on the fibers distribution and void feature,rep-resentative volume element model on the fiber-matrix scale and representative volume element model of the composite single layer laminate containing voids were established,and finite element method was employed to solve the elastic coefficients.After that,with the periodic symmetry boundary conditions applied,the first step of equivalent was conducted on the fiber-matrix scale,thus the elastic coefficients of composite single layer laminate without voids were obtained.Finally,the second step of equivalent was conducted on the representative volume element model of composite single layer laminate containing voids,and the prediction for elastic coefficients of composite single layer laminate containing voids was finished.The results show that the calculated results obtained by using this method agree well with the test data.With the combination for elastic coefficients of fiber and matrix as well as the model of voids morphology,the method can reflect the effects of each factor on the elastic coefficients of composite single lay-er laminate. |
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| Keywords: | defects porosity elastic coefficients periodic symmetry boundary conditions mesoscale |
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