Stress transfer around a broken fiber in unidirectional fiber-reinforced composites considering matrix damage evolution and interface slipping

• Published in: Science China. Physics, mechanics & astronomy Vol. 54; no. 2; pp. 296 - 302
• Main Authors: Yang, Zhong, Zhang, BoMing, Zhao, Lin, Sun, XinYang
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Science China Press 01.02.2011; Springer Nature B.V
• Subjects: Astronomy; Axial stress; Boundary conditions; Classical and Continuum Physics; Coulomb friction; Damage; Debonding; Evolution; Failure modes; Fiber composites; Friction; Mathematical analysis; Observations and Techniques; Physics; Physics and Astronomy; Poisson's ratio; Polarized light; Research Paper; Residual stress; Shear stress; Stress distribution; Stress transfer; Unidirectional composites; 复合材料基体; 应力传递; 损伤演化; 界面脱粘; 纤维增强; stress transfer; fiber composite; shear-lag; damage evolution
• ISSN: 1674-7348; 1869-1927
• DOI: 10.1007/s11433-010-4148-1

A shear-lag model is applied to study the stress transfer around a broken fiber within unidirectional fiber-reinforced composites（FRC） subjected to uniaxial tensile loading along the fiber direction.The matrix damage and interfacial debonding,which are the main failure modes,are considered in the model.The maximum stress criterion with the linear damage evolution theory is used for the matrix.The slipping friction stress is considered in the interfacial debonding region using Coulomb friction theory,in which interfacial clamping stress comes from radial residual stress and mismatch of Poisson＇s ratios of constituents（fiber and matrix）.The stress distributions in the fiber and matrix are obtained by the shear-lag theory added with boundary conditions,which includes force continuity and displacement compatibility constraints in the broken and neighboring intact fibers.The result gives axial stress distribution in fibers and shear stress in the interface and compares the theory reasonably well with the measurement by a polarized light microscope.The relation curves between damage,debonding and ineffective region lengths with external strain loading are obtained.