Fracture of disordered three-dimensional spring networks: A computer simulation methodology

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Abstract

In this paper a computational technique is proposed to describe brittle fracture of highly porous random media. Geometrical heterogeneity in the ''open cell foam'' structure of the porous medium on a mesoscopic length scale (similar to 100 nm) is mapped directly onto a three-dimensional (3D) elastic network by using molecular dynamics techniques to generate starting configurations. The aspects in our description are that the elastic properties of an irregular 3D-network are described using not only a potential with a two-body term (change in bond length, or linear elastic tension and a three-body term (change in bond angle, of bending), but also a four-body term (torsion). The equations for minimum energy are written and solved in matrix form. If the changes in bond lengths, bond- or torsion angles exceed pre-set threshold values, then the corresponding bonds are irreversibly removed from the network. Brittleness is mimicked by choosing small (similar to 1%) threshold values. The applied stress is increased until the network falls apart into two or more pieces.

Original languageEnglish
Pages (from-to)15094-15100
Number of pages7
JournalPhysical Review B
Volume54
Issue number21
DOIs
Publication statusPublished - 1-Dec-1996

Keywords

  • BOND-BENDING FORCES
  • PERCOLATION NETWORKS
  • ELASTIC PROPERTIES

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