Dynamic Brittle Fracture as an Upscaling of Unstable Mesoscopic Dynamics

Document Type

Article

Publication Date

1-1-2016

Abstract

In this chapter we depart from the aforementioned top-down and bottom up approaches to crack modeling and instead use peridynamics [19] to develop a nonlocal mesoscopic model for assessing the deformation state inside a cracking body. This model is used to connect the dynamics associated with unstable bonds at mesoscopic scales to dynamic free crack propagation inside a brittle material, as observed at macroscopic length scales. This strategy can be thought of as a bottom-up approach. However instead of starting at atomistic scales we pose the dynamics at the mesoscale and scale up to discover the macroscopic ramifications. A future goal would be to inform the mesoscopic model through atomistic or molecular dynamics at still smaller length scales.

Publication Source (Journal or Book title)

Handbook of Peridynamic Modeling

First Page

229

Last Page

244

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