Analysis of randomly damaged triangular beam lattice: elastic field and effective properties

Michael Ryvkin, Andrej Cherkaev

Research output: Contribution to journalArticlepeer-review

Abstract

The decay of elastic moduli of the triangular beam lattice with randomly missed links is studied. Random low-intensity damage is considered with no more than 10% of the links removed. Unidirectional and isotropic damage models are considered. Approximate analytical formulas for elastic moduli of damaged lattice are suggested and numerically verified. Models of isotropic and scalar damage are discussed; the variation of the Poisson coefficients as a result of damage is studied. Beams of different thicknesses are examined; the dependence of moduli on thickness is investigated. Random damage is simulated using a method based on the discrete Fourier transform; the mean value and standard deviation are calculated.

Original languageEnglish
Pages (from-to)1219-1237
Number of pages19
JournalMathematics and Mechanics of Solids
Volume26
Issue number8
DOIs
StatePublished - Aug 2021

Keywords

  • Beam lattice
  • anisotropic damage
  • discrete Fourier transform
  • effective moduli
  • random damage

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