Inelastic microbuckling of composites by wave-buckling analogy

Rivka Gilat, Jacob Aboudi

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Microbuckling in fiber-reinforced elastic composite materials, associated with the composite compressive strength, has been extensively studied over the years. A two-dimensional problem of a periodically layered bi-material, in which the stiff and soft layers represent the fibers and matrix, respectively, has been frequently used to model the composite. The wave-buckling analogy is used for the analysis of inelastic bifurcation microbuckling in layered composites. To this end, the instantaneous stiffness tensor of the inelastic layer is used in the bifurcation buckling analysis. Inelastic material behavior reveals softening, which can be viewed as the reduction of the material mechanical properties. Plasticity is observed to decrease the volume fraction at which the transition occurs from short-wave buckling to long-wave buckling. A solution was obtained by using the analogy between the buckling and wave propagation problems, in conjunction with an incremental approach, while adopting an elastic-viscoplastic constitutive law indicating plasticity reduction of all the involved moduli.

Original languageEnglish
Title of host publicationModern Trends in Structural and Solid Mechanics 1
Subtitle of host publicationStatics and Stability
Number of pages13
ISBN (Electronic)9781119831891
StatePublished - 11 Jun 2021


  • Fiber-reinforced elastic composite materials
  • Inelastic bifurcation microbuckling
  • Plasticity
  • Wave propagation
  • Wave propagation problems
  • Wave-buckling analogy


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