Fiber stress distribution analysis based on shear lag theory

doi:10.19936/j.cnki.2096-8000.20240228.005

Abstract

Abstract: In exploring the stress between the fiber and the matrix during tensioning and compression, the theoretical mathematical equations for axial and shear forces are derived based on the Cox shear lag model. In the derivation process, the radial force is considered, while the stress-transferring process between the fiber and the matrix needs to be realized through shear stress. Finally, the axial force is solved, and the distribution of the axial force and shear force is plotted and analyzed in detail. It was eventually found that the maximum shear stress was reduced by 5.25% in the presence of radial forces, and the maximum axial force was increased by 3.76%. Also, during the stretching process, the maximum shear stress was found to occur at the ends of the fiber, while the maximum axial force appeared at the center of the fiber.

Key words: stress distribution, shear lag theory, shear-lag model, axial force, shear stress, composites

CLC Number:

TB332

SHEN Zhiqiang, WANG Huabi, ZHANG Wenyan. Fiber stress distribution analysis based on shear lag theory[J]. COMPOSITES SCIENCE AND ENGINEERING, 2024, 0(2): 35-39.

References

[1] COX H L. The elasticity and strength of paper and other fibrous materials[J]. British Journal of Applied Physics, 1952, 3(3): 72-79.
[2] YUE C Y, CHEUNG W L. Interfacial properties of fibrous composites[J]. Journal of Materials Science, 1992, 27(12): 3181-3191.
[3] HSUEH C. Interfacial debonding and fiber pull-out stresses of fiber-reinforced composites[J]. Elsevier, 1990, 123(1): 1-11.
[4] FU S Y, BERND L. An analytical characterization of the anisotropy of the elastic modulus of misaligned short-fiber-reinforced polymers[J]. Composites Science and Technology, 1998, 58(12) :1961-1972.
[5] 董启文, 冯凭, 孙毅, 等. 桥联特性对纤维复合材料裂纹扩展阻力曲线的影响[J]. 哈尔滨工业大学学报, 2002(3): 348-351.
[6] 任超, 陈建钧, 潘红良. 随机短纤维增强复合材料弹性模量预测模型[J]. 复合材料学报, 2012, 29(4): 191-194.
[7] 张斌, 顾伯勤, 宇晓明. 大模量比短纤维增强复合材料应力分布预测[J]. 南京工业大学学报(自然科学版), 2015, 37(2): 65-69.
[8] 刘永胜. 纤维混凝土增强机理的界面力学分析[J]. 混凝土, 2008(4): 34-35.
[9] 苏继龙, 郑书河. 纤维增强复合材料中桥联纤维对裂纹的阻裂机理[J]. 纤维复合材料, 2006(1): 9-11.
[10] 王坎盛, 沈珉, 于济菘. 界面应力传递重新分析及Cohesive模型参数的确定[J]. 材料科学与工程学报, 2017, 35(6): 945-951.
[11] 高剑虹, 谢依霖, 杨桂月. 短纤维橡胶复合材料界面应力传递的非线性有限元研究[J]. 福建师范大学学报(自然科学版), 2017, 33(1): 28-34.
[12] 王晓宏, 张博明, 杜善义, 等. 基于弹塑性剪滞理论的单丝复合材料段裂过程的蒙特卡罗模拟[J]. 复合材料学报, 2010, 27(5): 1-6.
[13] 徐慧, 张万里, 徐业峻, 等. 计及界面层的单向纤维复合材料力学特性研究[J]. 天津理工大学学报, 2012, 28(3): 18-23.
[14] POVIRK G L, NEEDLEMAN A. Finite element simulations of fiber pull-out[J]. Journal of Engineering Materials and Technology, 1993, 115(3): 286-291.
[15] 孙开俊, 顾伯勤, 周剑锋, 等. 单向短纤维增强复合材料应力传递模型及其细观力学分析[J]. 材料导报, 2011, 25(18): 121-124.