颗粒复合材料微裂纹增韧的数值模拟
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国家自然科学基金资助项目(50679022)


Numerical Simulation of Microcrack Toughening in Particulate Composite
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    摘要:

    将弹性复合材料体中主裂纹尖端划分为3个不同的区域,导出了各个区域的本构模型及饱和区域的范围。在最大饱和区域内,应用MonteCarlo技术产生均匀分布的微裂纹来表示损伤的各向同性,并采用轮流迭代数值技术来评估主裂纹和微裂纹相互作用。在稀疏微裂纹的假设前提下,忽略微裂纹间的相互作用,主裂纹与每一个微裂纹相互作用的应力强度因子可以叠加。分析了两种荷载源,一个是在无限远荷载作用下主裂纹和微裂纹的相互作用,另一个是伴随着微裂纹面上残余应力的释放主裂纹和微裂纹的相互作用。结果表明,两种荷载源都对主裂纹有屏蔽作用,且主裂尖后的微裂纹有最大的屏蔽作用,主裂尖前的微裂纹没有屏蔽作用。

    Abstract:

    The crack tip region in an elastic composite can be divided into three different zones. The constitutive equations corresponding to these zones and the extent of the saturated damage zones are derived. The damage isotropy in the largest saturated damage zone is expressed by utilizing the Monte Carlo technique to create uniform distribution microcracks. The interaction between the main crack and microcracks can be evaluated by an alternating iteration scheme. In the assumption of a dilute concentration of microcracks, the interaction among microcracks is neglected, and the stress intensity factor produced by interaction between the main crack and each microcrack can be superposed. Two sources of loading are analyzed: one is for the main crack microcrack interaction under an applied remote load, and the other is for the main crack microcrack interaction accompanied by the relief of residual stresses on the microcrack surfaces. The results show that two sources of loading can shield the main crack tip, and microcracks behind the main crack tip can create the most shielding whereas the microcracks ahead of the main crack tip play no role in shielding.

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琚宏昌,陈国荣.颗粒复合材料微裂纹增韧的数值模拟[J].土木与环境工程学报(中英文),2009,31(1):13-18. QU Hongchang, CHEN Guorong. Numerical Simulation of Microcrack Toughening in Particulate Composite[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2009,31(1):13-18.10.11835/j. issn.1674-4764.2009.01.004

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