基于虚位移原理的宏细观统一本构模型

高希光; 宋迎东; 孙志刚

基于虚位移原理的宏细观统一本构模型

南京航空航天大学能源与动力学院,南京 210016

基金项目: 南京航空航天大学青年科技创新基金(NS2010123); 江苏省博士后基金(0902013C); 国家重点基础研究发展计划

计量
- 文章访问数: 1657
- HTML浏览量: 89
- PDF量: 21
- 被引次数: 0
出版历程
- 收稿日期: 2010-02-27
- 修回日期: 2010-11-04
- 刊出日期: 2011-03-28

Macro and micro scale coupled constitutive model based on virtual displacement principle

College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

摘要

摘要: 结合虚位移原理和宏细观统一本构模型的基本理论提出了一种宏细观统一本构模型.该模型将宏观位移表示为宏观应变与细观位移的线性组合,然后应用虚位移原理建立基本方程,采用有限元法进行求解,得到宏观应变增量和应力增量的关系式.通过算例分析对比了模型与FVDAM(finite volume directe average method)的应力场和计算效率,结果表明模型不仅具有较高的精度而且提高了计算效率.采用模型预测了复合材料的偏轴弹性模量和弹塑性应力应变响应.其中偏轴弹性模量与转轴公式计算结果相符,而弹塑性应力应变响应与实验结果吻合.
- 复合材料 /
- 宏细观统一本构模型 /
- 虚位移原理 /
- 细观应力场 /
- 偏轴弹性模量
Abstract: A novel constitutive model was developed for composite by combining the theory of macro and micro scale coupled constitutive model and the virtual displacement principle.The displacement within the subcell was expanded in terms of the global strains and the fluctuating displacements.Then the virtual displacement principle was used to construct the basic equations of the model.The periodic boundary conditions were employed to solve the basic equations.Finally the relation between global stress increment and global strain increment was deduced.Both the accuracy and efficiency of the new model were verified numerically by comparing with finite volume directe average method(FVDAM).The global elastic modulo and transverse elastic-plastic stress-strain responses were also predicted by the new model.The results show that predictions of the model are in good agreement with transformation equations and experiment.
- composite /
- macro and micro scale coupled constitutive model /

HTML

参考文献(14)

[1]	Aboudi J.Closed form constitutive equations for metal matrix composites[J].International Journal of Engineering Science,1987,25(9):1229-1240.
[2]	Paley M,Aboudi J.Micromechanical analysis of composites by the generalized method of cells[J].Mechanics of Materials,1993,14(2):127-139.
[3]	宋迎东,雷友锋,孙志刚,等.一种新的纤维增强复合材料细观力学模型[J].南京航空航天大学学报,2003,35(4):435-440. SONG Yingdong,LEI Youfeng,SUN Zhigang,et al.A new micro-mechanics model for fibrous composite[J].Journal of Nanjing University of Aeronautics & Astronautics,2003,35(4):435-440.(in Chinese)
[4]	孙志刚,宋迎东,高希光.细观结构对复合材料热膨胀系数的影响研究[J].应用力学学报,2004,21(2):146-150. SUN Zhigang,SONG Yingdong,GAO Xiguang.Influence of micro-structual geometry on thermal expansion coefficient of composites[J].Chinese Journal of Applied Mechanics,2004,21(2):146-150.(in Chinese)
[5]	宋迎东,孙志刚,雷友锋,等,细观几何结构对复合材料初始屈服面的影响[J].航空动力学报,2004,19(6):749-754. SONG Yingdong,SUN Zhigang,LEI Youfeng,et al.Influence of micro-structural geometry on composite initial yielding surfaces[J].Journal of Aerospace Power,2004,19(6):749-754.(in Chinese)
[6]	高希光,宋迎东,孙志刚.纤维位置随机引起的复合材料性能分散性研究[J].航空动力学报,2005,20(4):584-589. GAO Xiguang,SONG Yingdong,SUN Zhigang.Research on the discrepancy of composite effective properties induced by the stochastic fiber location[J].Journal of Aerospace Power,2005,20(4):584-589.(in Chinese)
[7]	Aboudi J,Pindera M J,Arnold S M.Higher-order theory for functionally graded materials[J].Composites Part B,1999,33(8):777-832.
[8]	Aboudi J,Brett A,Bednarcyk S M,et al.High-fidelity generalization method of cells for inelastic periodic multiphase materials . USA,NASA:NASA-TM-2002 -211469,2002.
[9]	Bansal Y,Pindera M J.Finite-volume direct averaging micromechanics of heterogeneous materials with elastic-plastic phases[J].International Journal of Plasticity,2006,22(5):775-825.
[10]	Cavalcante M A A,Marques S P C,Pindera M J.Parametric formulation of the finite-volume theory for functionally graded materials Part Ⅰ:analysis[J].Journal of Applied Mechanics,2007,74(5):935-945.
[11]	Cavalcante M A A,Marques S P C,Pindera M J.Parametric formulation of the finite-volume theory for functionally graded materials Part Ⅱ:numerical results[J].Journal of Applied Mechanics,2007,74(5):946-957.
[12]	GAO Xiguang,SONG Yingdong,SUN Zhigang.Quadrilateral subcell based finite volume micromechanics theory for multiscale analysis of elastic periodic materials[J].Journal of Applied Mechanics Transactions of the ASME,2009,76(1):011013(7 pages).
[13]	Drago A,Pindera M J.Micro-macro mechanical analysis of heterogeneous materials:macroscopically homogeneous vs periodic microstructures[J].Composite Science and Technology,2007,67(6):1243-1263.
[14]	雷友锋,宋迎东,高德平.纤维增强金属基复合材料弹塑性行为分析[J].机械科学与技术,2003,22(6):982-985. LEI Youfeng,SONG Yingdong,GAO Deping.Analysis of elastoplastic behavior of fiber reinforced metal matrix composites[J].Mechanical Science and Technology for Aerospace Engineering,2003,22(6):982-985.(in Chinese)