### 2005 Fall AGU Abstract

Bina, C. R.,
Complex propagation of strain energy in icosahedral networks,
*Eos, Transactions of the American Geophysical Union, 86,
Fall Meeting Supplement*, NG33A-0170, 2005.

**NG33A-0170**

We have modeled the propagation of strain energy in
both a vertex-based icosahedral network (12 nodes of
degree 5, maximum geodesic of 3, icosahedral graph)
and a face-based icosahedral network (20 nodes of
degree 3, maximum geodesic of 5, dodecahedral graph),
in which initial perturbation from a pre-strained
state results in successive episodes of release of
strain energy governed by threshold failure. The
method may be extended to larger networks through
icosahedral discretization of the sphere by higher-order
triangulations. Relative to a reference case, we have
begun to explore the effects of varying a number of
network parameters. These include: the initial
distribution of strain energies, the size of the
initial perturbation, the nature (quantized vs. total)
of threshold-governed energy release, the magnitude
of syn-propagational damping, the extent of post-propagational
relaxation, and the directionality (weighted mixtures
of omnidirectional with either constant unidirectional
or variable unidirectional) of post-failure propagation.

For most cases explored thus far, simple patterns
of nodal failure and energy release emerge, with
networks exhibiting constant, decaying, or quasi-periodic
behavior. More complex network behavior, exhibiting
more complicated power spectra and less uniform levels of
nodal activity, emerge only when various forms of directionality
(i.e., radiation patterns) are introduced. Results from
such modeling may eventually prove useful in studies of
deformational microstructures or of triggered seismicity.

Copyright © 2005 American Geophysical Union

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