Finite element formulation for modeling particle debonding in reinforced elastomers subjected to finite deformations

Karel Matouš, Philippe H. Geubelle

Research output: Contribution to journalArticlepeer-review

Abstract

Interfacial damage nucleation and evolution in reinforced elastomers is modeled using a three-dimensional updated Lagrangian finite element formulation based on the perturbed Petrov-Galerkin method for the treatment of nearly incompressible behavior. The progressive failure of the particle-matrix interface is modeled by a cohesive law accounting for mode mixity. The meso-scale is characterized by a unit cell, which contains particles dispersed in a homogenized blend. A new, fully implicit and efficient finite element formulation, including consistent linearization, is presented. The proposed finite element model is capable of predicting the non-homogeneous meso-fields and damage nucleation and propagation along the particle-matrix interface. Simple deformations involving an idealized solid rocket propellant are considered to demonstrate the algorithm.

Original languageEnglish (US)
Pages (from-to)620-633
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume196
Issue number1-3
DOIs
StatePublished - Dec 1 2006

Keywords

  • Cohesive and volumetric elements
  • Decohesion
  • Finite deformations
  • Particulate composites
  • Stabilized method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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