| 复合材料湿热弹性性能的变分渐近细观力学模型 |
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| 引用本文： | 钟轶峰,秦文正,张亮亮,周小平. 复合材料湿热弹性性能的变分渐近细观力学模型[J]. 复合材料学报, 2016, 33(10): 2197-2204. DOI: 10.13801/j.cnki.fhclxb.20160118.002 |
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| 作者姓名： | 钟轶峰 秦文正 张亮亮 周小平 |
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| 作者单位： | 1.重庆大学 土木工程学院, 重庆 400045; |
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| 基金项目： | 国家自然科学基金(11272363;51279218)，中央高校基本科研业务费专项基金(106112014CDJZR200017)，重庆市自然科学基金(cstc2016jcyjA0426) |
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| 摘 要： | 基于变分渐近均匀化理论框架建立可预测复合材料有效湿热弹性性能和单胞内局部场分布的细观力学模型。从推导复合材料湿热弹性自由能泛函出发，利用细、宏观尺度比作为小参数对自由能泛函的主导变分项进行渐近分析，得到湿热弹性问题的系列细观力学模型和局部场分布的重构关系，并通过有限元数值方法实现。与ABAQUS有限元算例的对比表明:构建的细观力学模型可有效准确地预测复合材料有效湿热弹性属性和局部场分布。
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| 关 键 词： | 复合材料 湿热弹性 细观力学 变分渐近法 均匀化 |
| 收稿时间： | 2015-10-12 |
A variational asymptotic micromechanical model for hygrothermoelastic properties of composites |
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| ZHONG Yifeng,QIN Wenzheng,ZHANG Liangliang,ZHOU Xiaoping. A variational asymptotic micromechanical model for hygrothermoelastic properties of composites[J]. Acta Materiae Compositae Sinica, 2016, 33(10): 2197-2204. DOI: 10.13801/j.cnki.fhclxb.20160118.002 |
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| Authors: | ZHONG Yifeng QIN Wenzheng ZHANG Liangliang ZHOU Xiaoping |
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| Affiliation: | 1.School of Civil Engineering, Chongqing University, Chongqing 400045, China;2.Key Laboratory of New Technology for Construction of Cities in Mountain Area(Chongqing University), Ministry of Education, Chongqing 400045, China |
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| Abstract: | A micromechanical model was developed for predicting effective hygrothermoelastic properties of com-posites and local field distributions within the unit cell based on the framework of the variational asymptotic homoge-nization theory.Starting from the derivation of the hygrothermoelastic free energy functional of composites,the leading variable item in the functional of free energy was asymptotically analyzed by taking advantage of the small ra-tio of microscale to macroscale.Micromechanical model and the recovery relationships of local field distributions for the hygrothermoelastic problem were obtained and implemented by using finite element method.Comparison with ABAQUS finite element example shows the constructed micromechanical model can predict the effective hygrother-moelastic properties of composites and local field distributions effectively and accurately. |
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| Keywords: | composites hygrothermoelastic micromechanics variational asymptotic method homogenization |
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