| 引用本文: | 宣领宽,明平剑,龚京风,张文平,韩春旭.三维各向异性功能梯度材料的有限体积法[J].哈尔滨工业大学学报,2014,46(7):95.DOI:10.11918/j.issn.0367-6234.2014.07.016 |
| XUAN Lingkuan,MING Pingjian,GONG Jingfeng,ZHANG Wenping,HAN Chunxu.Finite volume method for three-dimensional anisotropic functionally graded materials[J].Journal of Harbin Institute of Technology,2014,46(7):95.DOI:10.11918/j.issn.0367-6234.2014.07.016 |
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| 摘要: |
| 为了研究三维各向异性功能梯度材料的线弹性问题,发展一种弹性结构的有限体积方法,该方法采用四面体网格,对不规则形状问题的适用性强．空间上采用交错非结构有限体积法进行离散,位移、速度、加速度定义在节点上,应力、材料属性定义在单元中心上且在单元内均匀分布,时间上采用欧拉格式进行离散．数值结果表明, 本方法计算结果与其他数值方法结果吻合良好,计算速度快且内存消耗少,可以有效模拟三维各向异性功能梯度材料的弹性问题． |
| 关键词: 各向异性 功能梯度 有限体积法 弹性分析 |
| DOI：10.11918/j.issn.0367-6234.2014.07.016 |
| 分类号:O343.7 |
| 基金项目:国家自然科学基金资助项目(E060503);中央高校基本科研业务费专项资金资助项目(HEUCF130302). |
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| Finite volume method for three-dimensional anisotropic functionally graded materials |
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XUAN Lingkuan1,2, MING Pingjian1, GONG Jingfeng1, ZHANG Wenping1, HAN Chunxu1
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(1.College of Power and Energy Engineering, Harbin Engineering University, 150001 Harbin, China; 2.China Ship Development and Design Center, 430064 Wuhan, China)
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| Abstract: |
| A finite volume method (FVM) is developed for elastic analysis of three-dimensional (3D) anisotropic linear elastic solids with continuously variable material properties. The method employs tetrahedral elements so that it owns adaptability to problems with irregular domain. A staggered unstructured FVM is used for spatial terms. The displacement, velocity and acceleration are defined on the cell vertex while the stress and material properties which are uniform in the cell are defined on the cell center. An Euler scheme is employed for time dependent terms. The numerical results of the FVM agree well with the results of other numerical methods, and the FVM consumes much less computational time and memory, which is able to predict the 3D anisotropic linear elastic problems accurately and efficiently. |
| Key words: anisotropic functionally graded finite volume method elastic analysis |
