复合材料纤维界面断裂韧性的表征方法与数值模拟

Experimental characterization and numerical simulation of interfacial fracture toughness in composite materials

  • 摘要: 针对传统层合板试验易受结构效应影响、难以获取纤维/树脂界面本征断裂参数的问题,本文提出一种适用于介观尺度的界面断裂韧性系统表征方法。通过设计双层纤维束不对称双悬臂梁(BFADCB)和不对称单腿弯曲(BFASLB)试样,实现从纯I型到高II型占比的混合模式加载;建立考虑剪切效应及多材料界面应力连续性的柔度解析模型,并基于等效裂纹长度法求解应变能释放率;结合多构型试验与有限元分析确定模态混合比,利用Benzeggagh-Kenane(B-K)准则反演界面断裂参数并进行数值验证。结果表明:纯I型断裂韧性为0.1275 N·mm−1,BFADCB、BFSLB和BFASLB试样总断裂能分别为0.21730.44230.6359 N·mm−1,对应模态混合比分别为0.11240.45240.5801,拟合得到界面II型断裂韧性为1.15 N·mm−1,参数η为1.35;数值结果与试验载荷–位移响应及断裂能基本一致,除BFADCB试样预测误差为−15.51%外,其余构型预测误差均小于10%。综上,所提出的纤维束试样与解析-数值耦合方法能够有效表征纤维/树脂界面的混合模式断裂行为,获得的界面本征参数与实验结果吻合良好,可为复合材料多尺度损伤分析提供可靠的参数支撑。

     

    Abstract: Traditional laminate tests are affected by structural effects and cannot accurately capture intrinsic fiber/resin interface fracture parameters. A mesoscale method was proposed to characterize interface fracture toughness. Bilayer fiber-bundle asymmetric double-cantilever-beam (BFADCB) and asymmetric single-leg-bending (BFASLB) specimens were designed to achieve mixed-mode loading from pure mode I to high mode II ratios. An analytical compliance model included shear effects and interface-stress continuity. The strain energy release rate was calculated using an equivalent-crack-length method. Experiments and finite element analysis determined mode mixity. The Benzeggagh-Kenane (B-K) criterion identified interface fracture parameters, and numerical results validated them. The pure mode I fracture toughness is 0.1275 N·mm−1. BFADCB, BFSLB, and BFASLB specimens give total fracture energies of 0.2173, 0.4423, and 0.6359 N·mm−1, with mode mixities of 0.1124, 0.4524, and 0.5801. The fitted mode II fracture toughness is 1.15 N·mm−1, and η is 1.35. Numerical results agree with experimental load-displacement responses and fracture energies. The BFADCB error is -15.51%, while other errors are within 10%. The method describes mixed-mode fracture behavior and provides reliable parameters for multiscale damage analysis of composite materials.

     

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