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| Titel |
Extended Boundary Integral Equation Method (XBIEM) for Rupture Dynamics Interacting with Medium Interfaces - Mode III Implementation in a Bimaterial - |
| VerfasserIn |
Tetsuya Kusakabe, Nobuki Kame |
| Konferenz |
EGU General Assembly 2013
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 15 (2013) |
| Datensatznummer |
250075237
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| Zusammenfassung |
| We developed a code for dynamic rupture propagation interacting with medium interfaces
using extended boundary integral equation method (XBIEM). XBIEM has been recently
proposed by Kame and Kusakabe (2012) as a versatile method of non-planar crack growth
analysis in an inhomogeneous medium consisting of homogeneous sub-regions, but it has
been just applied to a simple planar interfacial crack problem in its validation test.
Here we applied it to simulate 2D mode III rupture propagation across the medium
interface of a bimaterial in order to elicit the effects of medium contrast on the
dynamics.
Firstly, we introduced a new implicit time-stepping scheme for instantaneously
interacting boundary elements on the crack and medium interface. Such interactions only
appear in rupture’s crossing the interface. Otherwise we can use the explicit scheme as
employed for BIEM in a homogeneous medium.
Secondly, the validation tests were carried out by comparing the XBIEM results with the
BIEM solution for problems of the wave propagation and the dynamic rupture in a
homogeneous full-space. It was found out that the discretized interfaces worked well for both
problems.
Finally, we simulated dynamic rupture propagation on a planar fault embedded in
a bimaterial with an inclination angle θ. We assumed a slip-weakening law with
homogeneous properties over the fault independent of the material contrast. When rupture
propagated from a rigid to a compliant side, the slip became larger and it tended
to be larger for the smaller θ as compared with a homogeneous medium whose
elasticity is identical to the lower side of bimaterial. For cases with the opposite
material contrast, the slip was suppressed and it got smaller for the smaller θ. The
tendencies of the rupture before crossing the interface may be understandable in
terms of two extreme cases: rupture approaching a free surface (the slip is highly
amplified) and rupture approaching a fixed boundary (it is largely decreased). The
dynamics after crossing the interface was very easy in our cases; the stress drop
was assumed to be homogeneous and the larger/smaller slip thus occurred in the
compliant/rigid half-space. These qualitative agreements also supported our code. |
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