Lattice and particle modeling of damage phenomena

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Lattice (spring network) models offer a powerful way of simulating mechanics of materials as a coarse scale cousin to molecular dynamics and, hence, an alternative to finite element models. In general, lattice nodes are endowed with masses, thus resulting in a quasiparticle model. These models, having their origins in spatial trusses and frameworks, work best when the material may naturally be represented by a system of discrete units interacting via springs or, more generally, rheological elements. This chapter begins with basic concepts and applications of spring networks, in particular the anti-plane elasticity, planar classical elasticity, and planar nonclassical elasticity. One can easily map a specific morphology of a composite material onto a particle lattice and conduct a range of parametric studies; these result in the so-called damage maps. Considered next is a generalization from statics to dynamics, with nodes truly acting as quasiparticles, application being the comminution of minerals. The chapter closes with a discussion of scaling and stochastic evolution in damage phenomena as stepping-stone to stochastic continuum damage mechanics.

Original languageEnglish (US)
Title of host publicationHandbook of Damage Mechanics
Subtitle of host publicationNano to Macro Scale for Materials and Structures
PublisherSpringer New York
Pages203-238
Number of pages36
ISBN (Electronic)9781461455899
ISBN (Print)9781461455882
DOIs
StatePublished - Jan 1 2015

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ASJC Scopus subject areas

  • Engineering(all)
  • Materials Science(all)

Cite this

Kale, S., & Ostoja- Starzewski, M. (2015). Lattice and particle modeling of damage phenomena. In Handbook of Damage Mechanics: Nano to Macro Scale for Materials and Structures (pp. 203-238). Springer New York. https://doi.org/10.1007/978-1-4614-5589-9