Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

Duancheng Ma, Philip Eisenlohr, Pratheek Shanthraj, Martin Diehl, Franz Roters, Dierk Raabe

Research output: Contribution to journalArticle

  • 2 Citations

Abstract

Abstract In this study, we focus on the interplay between the honeycomb structure and the crystallographic orientation. Specifically, the in-plane Young's moduli of monocrystalline stochastic honeycombs are calculated by a numerical and an analytical approach. The in-plane Young's moduli of the honeycombs were calculated numerically using a solution scheme for the full-field mechanical equilibrium based on spectral methods and anisotropic crystal elasticity. The analytical approach formulates two alternative assumptions, i.e. uniform force and uniform strain per strut, considers the elastic anisotropy of the base material, and depends on the two-variable distribution of the strut length and inclination angle as the structural parameters characterizing the stochastic honeycombs. The uniform strain assumption agrees closely with the numerical simulation results and constitutes an improvement compared to analytical solutions proposed in previous studies.

LanguageEnglish (US)
Article number6642
Pages323-329
Number of pages7
JournalComputational Materials Science
Volume109
DOIs
StatePublished - Aug 4 2015

Profile

Honeycomb structures
honeycomb structures
struts
Honeycomb
Struts
Young's Modulus
modulus of elasticity
Elastic moduli
elastic anisotropy
spectral methods
inclination
Elasticity
Simulation
Anisotropy
elastic properties
simulation
Crystals
Structural Parameters
Computer simulation
Inclination

Keywords

  • Anisotropic elasticity
  • Cellular material
  • Crystallographic orientation
  • Honeycomb

ASJC Scopus subject areas

  • Materials Science(all)
  • Chemistry(all)
  • Computer Science(all)
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Mechanics of Materials

Cite this

Analytical bounds of in-plane Young's modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures. / Ma, Duancheng; Eisenlohr, Philip; Shanthraj, Pratheek; Diehl, Martin; Roters, Franz; Raabe, Dierk.

In: Computational Materials Science, Vol. 109, 6642, 04.08.2015, p. 323-329.

Research output: Contribution to journalArticle

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AU - Raabe,Dierk

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