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基于剪滞理论的纤维应力分布分析OA

Fiber stress distribution analysis based on shear lag theory

中文摘要英文摘要

探讨拉压过程中纤维与基体之间的应力,利用弹性力学基本理论,根据Cox剪滞模型,推导轴向力和剪切力理论数学公式.在推导过程中,将径向力考虑在内,同时纤维与基体间的应力传递过程需要通过剪切应力来实现,最终求解轴向力,对轴向力和剪切力的分布作图并进行详细分析.最终发现径向力存在的情况下,最大剪应力有所降低,降低幅度达5.25%,最大轴向力有所提升,提升幅度达3.76%.同时,在拉伸过程中发现纤维两端出现了最大剪应力,而最大轴向力出现在纤维中心处.

In exploring the stress between the fiber and the matrix during tensioning and compression,the theo-retical mathematical equations for axial and shear forces are derived based on the Cox shear lag model.In the deriva-tion 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.

沈志强;王华毕;章文燕

华辰精密装备(昆山)股份有限公司,昆山 215300合肥工业大学机械工程学院,合肥 230009苏州大学外国语学院,苏州 215006

应力分布剪滞理论剪滞模型轴向力剪应力复合材料

stress distributionshear lag theoryshear-lag modelaxial forceshear stresscomposites

《复合材料科学与工程》 2024 (002)

35-39,58 / 6

10.19936/j.cnki.2096-8000.20240228.005

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