Test and analysis of the mode I delamination toughness of arc unidirectional fiber-reinforced resin composites
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摘要: 层合板的I型层间断裂韧性的测量方法通常为单向纤维增强树脂复合材料的末端切口(End notched flexure, ENF)试样的双悬臂梁(Double cantilever beam, DCB)试验。为了得到带有弧度的层合复合材料结构的I型层间断裂韧性,对圆弧形末端切口(Arc-ENF)试样进行DCB试验。基于梁的弯曲理论和Irwin-Kies公式得到Arc-ENF试样的柔度公式与I型临界能量释放率GIC公式,并且利用ABAQUS软件对DCB试验进行数值模拟。最终,通过对比分析理论公式计算结果、数值模拟结果和DCB试验结果来验证柔度公式和GIC公式的合理性和有效性,对带有任意弧度的DCB试样的I型层间断裂韧性的测试与分析具有参考价值。Abstract: The test method for mode I delamination toughness of composite layers was the double cantilever beam (DCB) test with end notched flexure (ENF) specimen of unidirectional fiber-reinforced resin composites. In order to obtain the mode I delamination toughness of composite structures with curvature, the DCB test was used on the Arc-ENF specimen. The formulas of compliance and GIC for Arc-ENF specimen were derived by using beam bending theory and Irwin-Kies formula, and the numerical simulation of the DCB test was finished with ABAQUS. Finally, The formulas of compliance and GIC are proved to be reasonable and effective by comparing the results of theory formulas, numerical simulation and the DCB test, which have reference value for the test and analysis of mode I delamination toughness of DCB specimens with any curvature.
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Key words:
- Arc-ENF specimen /
- compliance /
- delamination toughness /
- numerical simulation /
- DCB test
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表 1 圆弧形末端切口(Arc-ENF)试样的几何参数
Table 1. Geometry parameters of the Arc-end notched flexure (Arc-ENF) specimens
Width
b/mmThickness
h/mmInside radius
R0/mmCentral
angle αInitial crack
length/mmCentral angle of the
initial crack length θ0Length of the
hinge Lh/mm25 2 71 90° 30 23.87° 25 表 2 Arc-ENF试样的力学性能参数
Table 2. Mechanical properties of the Arc-ENF specimens
Longitudinal modulus
E11/GPaTransverse modulus
E22, E33/GPaPoisson ratio
ν12, ν13, ν23 Shear modulus
in plane G12, G13/GPaTransverse shear
modulus G23/GPa160 8 0.3 5 3.08 表 3 Arc-ENF试样层间模型参数
Table 3. Parameters of the interlamination of the Arc-ENF specimen
Width of the interlamination/mm Modulus E/GPa Poisson ratio ν Tensile strength $\sigma _{{\rm{u,t}}}^{\rm{m}}$/MPa Compressive strength $\sigma _{{\rm{u,c}}}^{\rm{m}}$/MPa Shear strength $\sigma _{{\rm{u,s}}}^{\rm{m}}$/MPa Correction factor Kh 0.01 3 0.3 80 105 51 3.27 -
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