Homogenization Analysis and Experimental Verification for Creep of Unidirectional Fiber Reinforced Composites

单向纤维增强复合材料蠕变均匀化分析及实验验证

基本信息

  • 批准号:
    09450046
  • 负责人:
  • 金额:
    $ 1.34万
  • 依托单位:
  • 依托单位国家:
    日本
  • 项目类别:
    Grant-in-Aid for Scientific Research (B)
  • 财政年份:
    1997
  • 资助国家:
    日本
  • 起止时间:
    1997 至 1998
  • 项目状态:
    已结题

项目摘要

1. A homogenization theory was formulated for time-dependent nonlinear composites with periodic internal structures, so that perturbed displacement rate is decomposed into time-independent elastic and time-dependent viscoplastic parts. Then a macroscopic constitutive relation and a microscopic evolution equation of stress were derived.2. The theory mentioned above was applied to analyzing transverse creep and elastic-viscoplastic deformation of unidirectional composites reinforced with continuous fibers. Assuming the plane strain condition in the fiber orientation, and employing the square and hexagonal arrays of fibers, it was shown that the square and hexagonal arrays exhibit significant and negligible anisotropy in macroscopic behavior, respectively.3. The field of perturbed displacement rate was discussed by assuming the point symmetry of internal distributions with respect to a cell center. It was thus shown that the field of perturbed displacement rate is point-symmetric with respect to cell facet centers as well as the cell center, and that perturbed displacement rate vanishes at these centers. This finding led to introducing a semiunit cell, on the boundary of which the point symmetry is imposed on perturbed displacement rate as its boundary condition.4. The present theory was employed to analyze off-axial elastic-viscoplastic deformation of a hexagonally fiber-arrayed composite. It was then found that a small off-axis angle gives rise to significant decrease of viscoplastic flow stress, but that viscoplastic flow stress changes little for off-axis angles larger than 45 degree.5. Comparison of the analytical result mentioned above with experimental results on a hybrid composite GLARE 2 showed that the dependence of elastic-viscoplastic behavior on off-axis angle revealed in the present analysis is observed experimentally.
1. 建立了具有周期性内部结构的时变非线性复合材料的均匀化理论,将扰动位移率分解为时变弹性和时变粘塑性两部分。然后推导了宏观本构关系和微观应力演化方程。将上述理论应用于连续纤维增强单向复合材料的横向蠕变和弹粘塑性变形分析。假设纤维取向的平面应变条件下,采用正方形和六角形纤维阵列,结果表明正方形和六角形纤维阵列在宏观行为上分别表现出显著和可忽略的各向异性。通过假设胞内分布相对于胞中心的点对称,讨论了微扰位移率场。结果表明,微扰位移率场相对于细胞面中心和细胞中心是点对称的,微扰位移率在这些中心处消失。这一发现导致引入了一个半单元格,在其边界上,点对称性施加于扰动位移率作为其边界条件。利用该理论分析了六边形纤维排列复合材料的离轴弹粘塑性变形。结果表明,当离轴角较小时,粘塑性流动应力显著降低,而当离轴角大于45°时,粘塑性流动应力变化不大。将上述分析结果与杂化复合材料GLARE 2的实验结果进行了比较,结果表明,本分析所揭示的弹粘塑性特性与离轴角的关系是实验观察到的。

项目成果

期刊论文数量(29)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Xu Wu: "A Homogenization Theory for Time-Dependent Deformation of Composites with Periodic Internal Structures" International Journal of Solids and Atructures. 36・in print. (1999)
徐武:“具有周期性内部结构的复合材料随时间变形的均质化理论”,《国际固体与结构杂志》,36·印刷(1999)。
  • DOI:
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  • 影响因子:
    0
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  • 通讯作者:
X.Wu and N.Ohno: "A Homogenization Theory for Inelastic Behavior of Materials with Periodic Internal Structures" Proceedings of IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity, Elsevier. 187-186 (1997)
X.Wu 和 N.Ohno:“具有周期性内部结构的材料非弹性行为的均质化理论”IUTAM 热塑性微观和宏观结构方面研讨会论文集,爱思唯尔。
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    0
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Xu Wu: "A Homogenization Theory for Time-Dependent Deforrmation of Composites with Periodic Internal Structures" JSME International Journal,Series A. Vol41・No3. 309-317 (1998)
徐武:“具有周期性内部结构的复合材料随时间变形的均匀化理论”JSME国际期刊,A系列,Vol41・No3(1998)。
  • DOI:
  • 发表时间:
  • 期刊:
  • 影响因子:
    0
  • 作者:
  • 通讯作者:
Xu Wu: "A Homogenization Theory for Time-Dependent Nonlinear Composites with Periodic Internal Structures" International Journal of Solids and Structures. 36・(印刷中). (1999)
徐武:“具有周期性内部结构的瞬态非线性复合材料的均匀化理论”,《国际固体与结构杂志》36·(出版中)。
  • DOI:
  • 发表时间:
  • 期刊:
  • 影响因子:
    0
  • 作者:
  • 通讯作者:
N.Ohno, T.Matsuda and X.Wu: "On Boundary Conditions for Unit Cells in the Homogenization Method (in Japanese)." Proceeding of the Conference on Computa-tional Engineering and Science. 3-3. 1001-1002 (1998)
N.Ohno、T.Matsuda 和 X.Wu:“关于均质化方法中晶胞的边界条件(日语)”。
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    0
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OHNO Nobutada其他文献

OHNO Nobutada的其他文献

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{{ truncateString('OHNO Nobutada', 18)}}的其他基金

Homogenized inelastic constitutive equation of open-porous bodies: theoretical developments and applications
开孔体均匀非弹性本构方程:理论发展与应用
  • 批准号:
    24360045
  • 财政年份:
    2012
  • 资助金额:
    $ 1.34万
  • 项目类别:
    Grant-in-Aid for Scientific Research (B)
Analytical prediction and homogenization analysis of grain fining effects using a strain gradient plasticity theory
使用应变梯度塑性理论对晶粒细化效果进行分析预测和均匀化分析
  • 批准号:
    19360048
  • 财政年份:
    2007
  • 资助金额:
    $ 1.34万
  • 项目类别:
    Grant-in-Aid for Scientific Research (B)
Large-scale Multiscale Analysis for Microscopic Buckling and Macroscopic Instability of Periodic Cellular Solids Based on a Homogenization Theory
基于均质化理论的周期性多孔固体微观屈曲和宏观不稳定性的大规模多尺度分析
  • 批准号:
    15360051
  • 财政年份:
    2003
  • 资助金额:
    $ 1.34万
  • 项目类别:
    Grant-in-Aid for Scientific Research (B)
Microscopic Buckling Analysis of Cellular Solids Based on a Homogenization Theory of Finite Deformation
基于有限变形均匀化理论的多孔固体微观屈曲分析
  • 批准号:
    13650084
  • 财政年份:
    2001
  • 资助金额:
    $ 1.34万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
Laser-Raman Measurement and Analytical Evaluation of Matrix Creep Induced Stress Relaxation in Broken Fibers
断裂纤维中基体蠕变引起的应力松弛的激光拉曼测量和分析评估
  • 批准号:
    11650086
  • 财政年份:
    1999
  • 资助金额:
    $ 1.34万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)

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