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Unformatted text preview: without a void, the displacement vector {{XsFq}
{XsSq}}T, and the stress vector {σ} on the F can be obtained. Appling the stress vector {σ} in the reverse direction on
the interface F as shown in Fig.9:
the displacement vector {{XσFq} {XσSq}}T are caused. The numerical condition of Fig.7:
can be decomposed into that of Fig.8 and Fig.9:
and sum of Fig.8 and Fig.9
satisfy the disappearance of
the stress {σ} along the F. {XFq}={XSFq}+{XσFq} The displacement vectors {{XFq} {XSq}}T are the earthquake
response of the soil with the void,
(22) which can be expressed by the sum of {{XsFq} {XsSq}}T and
{{XσFq} {XσSq}}T. In Eq.(22):
(22) The first term in the right
hand side corresponds to
the earthquake response of
the soil without a void, while the second to the
response of the soil without
the void due to the counter
stress {σ} on the interface F. Expressing the dynamic stiffness of the soil within the
void by [KV] , which will be excavated as shown in Fig.10:
Then, the equation of motion f...
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This note was uploaded on 03/14/2014 for the course CE 5680 taught by Professor Drgrd during the Summer '14 term at Indian Institute of Technology, Chennai.
 Summer '14
 DrGRD

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