Peridynamic modeling of hyperelastic membrane deformation

D. J. Bang, Erdogan Madenci

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This study concerns the development of peridynamic (PD) strain energy density functions for a Neo-Hookean type membrane under equibiaxial, planar, and uniaxial loading conditions. The material parameters for each loading case are determined by equating the PD strain energy density to that of the classical continuum mechanics. The PD equations of motion are derived based on the Neo-Hookean model under the assumption of incompressibility. Numerical results concern the deformation of a membrane with a defect in the form of a hole, a crack, and a rigid inclusion under equibiaxial, planar, and uniaxial loading conditions. The PD predictions are verified by comparison with those of finite element analysis.

Original languageEnglish (US)
Article number031007
JournalJournal of Engineering Materials and Technology, Transactions of the ASME
Volume139
Issue number3
DOIs
StatePublished - Jul 1 2017

Fingerprint

Strain energy
membranes
Membranes
Continuum mechanics
flux density
Probability density function
Equations of motion
incompressibility
continuum mechanics
classical mechanics
Cracks
Finite element method
Defects
equations of motion
cracks
inclusions
defects
predictions

Keywords

  • Hyperelastic
  • Membrane
  • Noe-Hookean
  • Peridynamics

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Peridynamic modeling of hyperelastic membrane deformation. / Bang, D. J.; Madenci, Erdogan.

In: Journal of Engineering Materials and Technology, Transactions of the ASME, Vol. 139, No. 3, 031007, 01.07.2017.

Research output: Contribution to journalArticle

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