Abstract
Abstract A micro-mechanics model is developed to analyze the stress distributions and fracture energies associated with crack propagation and fiber pull-out in reinforced composites. The stress and work mechanisms of interfacial debonding, fiber deformation, and the frictional work of fiber pull-out are considered as semi-independent contributions to fracture toughness. The theoretical expressions of Cottrell for frictional work WF and Outwater and Murphy for fiber deformational work WD are obtained as special relations in a general relation for the total work WT [dbnd] Ws + WF + WD where Ws defines the matrix shear work for interfacial debonding of fiber and matrix. Three dimensional diagrams of fracture energies WT , Ws , or Wr versus interfacial shear bond strength λ0 and frictional shear stress λf identify regions of optimized fracture energy. The influence of environmental degradation of bond strength upon fracture energy is analyzed in terms of the theory.
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