Stress concentrations near a fiber break in unidirectional composites with interfacial slip and matrix yielding

N. Ohno, S. Okabe, T. Okabe

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

In this study, 3D analytical solutions of stress profiles are obtained for the fibers adjacent to a broken fiber in unidirectional composites with interfacial slip and matrix yielding. To this end, a hexagonal fiber-array model containing a broken fiber is considered in order to derive differential equations based on a shear lag model. By assuming a bilinear stress profile for the broken fiber, and by introducing an elastoplastic shear modulus of the matrix, it is shown that all relevant material parameters are consolidated into a nondimensional characteristic length. The governing differential equations are then analytically solved under the condition that uniform axial deformation prevails in the second and third nearest-neighbor fibers, respectively. The resulting two analytical solutions are verified by numerically solving the governing equations more generally using a finite difference method. The analytical solutions are, moreover, compared with the detailed 3D finite element computations reported recently, leading to the validity of the present solutions and the effectiveness of the nondimensional characteristic length.

Original languageEnglish
Pages (from-to)4263-4277
Number of pages15
JournalInternational Journal of Solids and Structures
Volume41
Issue number16-17
DOIs
Publication statusPublished - 2004 Aug 1

Keywords

  • Analytical solutions
  • Composite materials
  • Fiber break
  • Shear lag theory
  • Stress concentrations

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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