Damage Growth in Prestressed Plain Weave Fabrics

摘要

A simplified micromechanics approach is used to develop a mathematical model to predict damage growth in prestressed plain weave fabrics near sites where yarns are broken. Stress concentration in the yarns neighboring yarn breaks is determined as a function of increasing loading. An evaluation of the load redistribution around the damage region includes a determination of the frictional slip of broken yarns. Consideration of equilibrium and deformation of constituent yarns leads to linear differential equations for yam displacements applicable to distinct regions where slipping does and does not occur. Blip frictional forces depend on yarn normal contact forces at crossover points resulting from crimp interchange; Kawabata's model is modified and used to motivate an analysis of frictional load transfer. The equations are nondimen-sionalized, and dimensionless parameters involving both geometry and material properties are identified.