单向复合材料横向裂纹黏弹性损伤演化模型

许飞; 李磊; 杨胜春

doi:10.13801/j.cnki.fhclxb.20190902.001

单向复合材料横向裂纹黏弹性损伤演化模型

doi: 10.13801/j.cnki.fhclxb.20190902.001

许飞^1, ,,
李磊¹,
杨胜春²

1.
中国飞机强度研究所　第十三研究室，西安 710065
2.
中国飞机强度研究所　科技委，西安 710065

详细信息

通讯作者:
许飞，博士，工程师，研究方向为复合材料力学　E-mail: xufeiasri@hotmail.com

中图分类号: O346.5
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- 文章访问数: 650
- HTML全文浏览量: 257
- PDF下载量: 65
- 被引次数: 0
出版历程
- 收稿日期: 2019-07-18
- 录用日期: 2019-08-23
- 网络出版日期: 2019-09-03
- 刊出日期: 2020-06-15

A damage evolution law for transverse cracking in unidirectional composites of linear viscoelastic behavior

XU Fei^{1
, ,},
LI Lei¹,
YANG Shengchun²

1.
The Thirteenth Research Department, Aircraft Strength Research Institute, Xi’an 710065, China
2.
Science & Technology Committee, Aircraft Strength Research Institute, Xi’an 710065, China

摘要

摘要: 建立一个考虑基体黏弹性的纤维增强聚合物单向复合材料在产生横向裂纹时的损伤演化模型，有效地预测了单向复合材料横向拉伸行为。假设呈现威布尔分布的缺陷会在变形的驱动下演化为损伤，并以此为基础建立了单向复合材料横向损伤演化模型。通过此模型，时间-温度叠加原理（TTSP）得到了更具有物理基础的解释。最后，通过具体例子阐述了此模型的应用，并通过试验对模型预测结果进行了验证。本模型有效地预测了单向复合材料横向拉伸行为。由于单向复合材料横向性能存在脆性，此模型还无法准确预测失效和强度。
- 损伤 /
- 线性黏弹性 /
- 一致性准则 /
- 横向基体裂纹 /
- 威布尔分布 /
- 时间-温度叠加原理（TTSP）
Abstract: A damage evolution law for linear viscoelastic unidirectional (UD) composites undergoing transverse matrix cracking has been proposed. Based on this model, the transverse tensile properties of the UD composites were predicted precisely. The damage evolution law was constructed using the Weibull distribution of defects which will develop into cracks as a result of deformation. The time-temperature superposition principle (TTSP) approach has been interpreted with physical basis through this damage evolution law. The whole process of using this damage model to predict the properties of a UD composite during deformation was demonstrated in this paper through an example of its application, and the results have been compared with experimental data. The transverse tensile behavior of UD composite can be predicted precisely by this model. In terms of failure and strength prediction, a noticeable discrepancy is present due to the brittleness of the transverse direction of UD composite.
- damage /
- linear viscoelasticity /
- correspondence principle /
- transverse matrix cracks /
- Weibull distribution /
- time-temperature superposition principle (TTSP)

HTML全文

图 1 Wiechert 模型^[9]

Figure 1. Wiechert model^[9]

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图 2 单向复合材料代表体积元

Figure 2. Representative volume element of unidirectional (UD) composite

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图 3 T700/VTM 264-1碳纤维增强树脂单向复合材料应力松弛试件示意图

Figure 3. Stress relaxation specimen drawing of T700/VTM 264-1 carbon fiber(CF)/Resin unidirectional (UD) composites

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图 4 不同温度及通过时间-温度转换原理（TTSP）得到的参考温度下T700/VTM 264-1碳纤维增强树脂单向复合材料的松弛模量

Figure 4. Relaxation moduli of T700/VTM 264-1 CF/Resin UD composites at the reference temperature obtained from different temperatures by time-temperature superposition principle(TTSP)

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图 5 T700/VTM 264-1碳纤维增强树脂单向复合材料横向拉伸应力-应变曲线与无损伤演化曲线对比

Figure 5. Stress-strain curves of T700/VTM 264-1 CF/Resin UD composites in transverse direction compared with prediction without damage evolution

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图 6 加载速率为1 mm/min时不同温度下T700/VTM 264-1碳纤维增强树脂单向复合材料模型预测与试验应力-应变曲线对比

Figure 6. Stress-strain curves comparisons of T700/VTM 264-1 CF/Resin UD composites by model prediction and experiment at different temperatures at loading rate of 1 mm/min

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图 7 加载速率为0.1 mm/min时不同温度下T700/VTM 264-1碳纤维增强树脂单向复合材料模型预测与试验数据对比

Figure 7. Comparisons of T700/VTM 264-1 CF/Resin UD composites by model prediction and experiment at different temperatures at loading rate of 0.1 mm/min

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图 8 不同加载速率下T700/VTM 264-1碳纤维增强树脂单向复合材料横向拉伸强度的预测与试验结果对比

Figure 8. Comparisons of predicted and experimental transverse strength of T700/VTM 264-1 CF/Resin UD composites at various loading rates

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表 1 ${k_j}$和${\tau _j}$的值

Table 1. Values of ${k_j}$ and ${\tau _j}$

$j$	${k_j}$/MPa	${\tau _j}$/s
1	166.16	10⁻³
2	134.45	10⁻²
3	0	10⁻¹
4	127.59	1
5	60.33	10
6	270.04	10²
7	125.21	10³
8	278.80	10⁴
9	140.82	10⁵
10	725.03	10⁶
11	586.34	10⁷
12	1 116.90	10⁸
13	1 687.60	10⁹
14	1 190.20	10¹⁰
15	921.53	10¹¹
Notes: ${k_j}$—Elastic modulus of spring connected with a dashpot; ${\tau _j}$—Relaxation time.

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