双轴经编织物膜梯形撕裂扩展机理及其拉剪耦合行为

陈建稳; 马俊杰; 赵兵; 陈务军

双轴经编织物膜梯形撕裂扩展机理及其拉剪耦合行为

1.
南京理工大学　理学院, 南京 210094
2.
上海交通大学　空间结构研究中心, 上海 200030

基金项目: 国家自然科学基金项目(51608270)；江苏省基础研究计划(自然科学基金)资助项目(BK20191290)；中央高校基本科研业务费专项资金资助(30920021143)；中国博士后科学基金资助项目(2017T100371)

详细信息

通讯作者:
陈建稳，博士(后)，副教授，硕士生导师，研究方向为轻型空间结构、薄膜结构方面　E-mail: Jianwench@yeah.net

中图分类号: TB332
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- 文章访问数: 50
- HTML全文浏览量: 45
- 被引次数: 0
出版历程
- 收稿日期: 2022-12-29
- 修回日期: 2023-03-06
- 录用日期: 2023-03-17
- 网络出版日期: 2023-03-31

Trapezoidal tearing propagation mechanisms of biaxial-warp-knitted fabric composites and tensile-shear coupling behaviors involved

1.
School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
2.
Space Structures Research Center, Shanghai Jiao Tong University, Shanghai 200030, China

Funds: the National Natural Science Foundation of China (51608270); the Fundamental Research Program of Jiangsu Province (BK20191290); the Fundamental Research Funds for the Central Universities (30920021143); the China Postdoctoral Science Foundation (2017T100371)

摘要

摘要: 在大跨气承式膜结构组装或服役过程中，缺陷邻域撕裂破坏是结构失效破坏的基本形式之一。双轴经编织物膜得益于独特的编织结构成为大跨气承膜结构的重要主体材料，而目前对其裂缝扩展机理研究尚不足，尤其缺乏对纱线随机方向下膜材撕裂承载规律及其中剪切行为的研究。本文针对典型经编织物类膜材，对系列纱线偏转下的梯形撕裂承载强度规律及裂缝延展机制开展深入研究，实现了对裂缝扩展机理及其拉剪耦合行为规律的探讨论证。裂缝扩展与主纱应力三角区以及X形剪应力区的衍变存在显著关联，并据此可有效界定各撕裂历程。经纬圈纱间的变形协同性及拉剪耦合作用是材料撕裂行为呈现出纱线方向依赖性的主要诱因，且随偏角趋于45°([0°→45°←90°])均呈现出规律性衍变，进而造成裂缝两向杂糅延展及撕裂抗力的“山脊”式变化规律的呈现。所得结论可为同类织物膜材料的损伤分析及膜结构安全性评估提供有益参考。1梯形撕裂历程中的剪切特征阶段(a)及裂缝邻域经纬纱线剪应力(b)
- 双轴经编织物膜 /
- 拉剪耦合 /
- 裂纹扩展 /
- 撕裂强度 /
- 非线性
Abstract: Considering the yarn orientation and microscopic structure of the biaxial-warp-knitted fabric, a series of experimental and numerical studies on trapezoidal tearing under off-axis and crack parameters were conducted at first. Then, the influences of parameters on the tearing strength and mechanical properties were investigated. Finally, the crack propagation mechanisms and the characteristics of tensile-shear coupling behavior involved were demonstrated. Results show that there is a significant correlation between crack propagation and the evolution of the main yarn delta zone as well as the X-shaped shear stress region, and the typical stages in the tearing history can be defined. Also, the tensile-shear coupling of the material and the cooperative deformation between warp and weft yarns are the main factors that cause tearing properties to show a dependence on yarn orientation. In addition, both factors vary regularly as the off-axis angle tends to 45° and cause mixed propagation of cracks in both directions and the "ridge" pattern of tearing strength. The conclusions obtained can provide references for damage analysis of related fabric composites and safety assessment of membrane structures.
- biaxial-warp-knitted fabrics /
- tensile-shear coupling /
- crack propagation /
- tearing strength /
- nonlinearity

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图 1 聚偏氟乙烯 (PVDF) 织物膜材细观结构示意(a)与电镜截面图(b)

Figure 1. Detailed structure of polyvinylidene fluoride (PVDF) fabric material (a) and its electron microscope cross-sectional image (b)

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图 2 PVDF膜材偏轴撕裂试样尺寸图(单位：mm)

Figure 2. Dimension of PVDF fabric specimen used in trapezoidal off-axis tearing (Unit: mm)

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图 3 PVDF膜材纱线应力-应变关系模型

Figure 3. Stress-strain relationship model for yarns in PVDF fabric

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图 4 模型边界条件

Figure 4. Boundary conditions of the model

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图 5 PVDF膜材典型梯形偏轴撕裂历程

Figure 5. Typical trapezoidal off-axis tearing process of PVDF fabric

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图 6 PVDF膜材典型偏轴角15°(a)与30°(b)数值撕裂历程

Figure 6. Numerical tearing process of PVDF fabric at typical off-axis angles of 15° (a) and 30° (b)

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图 7 PVDF膜材各偏轴角下撕裂强力-位移曲线试验与数值结果对比

Figure 7. Comparison of experimental and numerical results of tearing strength-displacement curves for PVDF fabric at different off-axis angles

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图 8 偏轴角15°(a)、30°(b)及45°(c)下PVDF膜材数值模型Mises应力与剪应力云图

Figure 8. Mises stress and shear stress contours for models of PVDF fabric at typical off-axis angles of 15°(a), 30°(b) and 45°(c)

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图 9 PVDF膜材数值模型梯形撕裂历程剪应力4个典型特征段

Figure 9. Four typical trapezoidal tearing stages of the model of PVDF fabric according to their shear stress distribution

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图 10 PVDF膜材典型梯形撕裂历程应力云图

Figure 10. Stress contours of the typical trapezoidal tearing process for PVDF fabric

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图 11 不同偏轴角下PVDF膜材数值模型撕裂强力(a)及主纱剪切力(b)随位移演变曲线(15 mm)

Figure 11. Tearing strength-displacement (a) and shear force-displacement curves (b) of the 15 mm model of PVDF fabric with different off-axis angles

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图 12 撕裂临界时PVDF膜材数值模型切缝邻域经纬纱线剪应力(15 mm)

Figure 12. Shear stress of warp and weft yarns in the vicinity of the crack in the model of PVDF fabric at the time of tearing

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图 13 各偏角下PVDF膜材数值模型撕裂抗力与剪切力

Figure 13. Tearing strength and shear force for models of PVDF fabric at different off-axis angles

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图 14 不同切缝长度下PVDF膜材数值模型撕裂抗力(a)与剪切力(b)对比

Figure 14. Comparison of tearing strength (a) and shear force (b) for models of PVDF fabric with different crack lengths

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图 15 不同切缝长度下PVDF膜材数值模型临撕裂时切缝邻域应力

Figure 15. Stress in the vicinity of the crack at the time of tearing in the model of PVDF fabric with different crack lengths

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图 16 系列偏角下PVDF膜材数值模型经纬纱裂缝扩展期的应力三角区拉伸(a)及剪切(b)承载力

Figure 16. Tensile (a) and shear (b) force of warp and weft yarns in the delta zone of the model of PVDF fabric at the tearing extension stage with different off-axis angles

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表 1 PVDF膜材纱线力学参数

Table 1. Mechanical parameters for yarns in PVDF fabric

Yarn	Strain/%			Modulus/MPa
Yarn	ε_I	ε_II	ε_III	E_I	E_II	E_III
Warp	0.02	9.00	18.00	4909.32	971.20	3196.41
Weft	3.00	15.50	27.00	3246.33	851.52	2477.14

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表 2 模型边界参数

Table 2. Boundary parameters of model

Step		Settings	Region
Step-1	BC-1	U2=30 mm; U1=UR2=U3=UR1=UR3=0	SET-1
	BC-2	UR2=0.523；U1=U2=U3=UR1=UR3=0	RP-1
	BC-3	UR2=-0.523；U1=U2=U3=UR1=UR3=0	RP-2
Step-2	BC-4	ENCASTRE	SET-2
Step-2	BC-5	U3=100 mm; U1=UR2=U3=UR1=UR3=0	SET-3

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