This example demonstrates the solution to the coupled flow/solid mechanics problem. The flow network, comprising of elastic tubes (four, 1-d cubic Hermite elements) is embedded in a homogeneous Mooney-Rivlin cube. The cube is deformed in simple shear in the x-z plane in steps over a period of 0.005s. The fluid flow pressure at the inlet of the tube is increased from 10.6 - 14.6 kPa linearly over the same period while the exit flow pressure is maintained constant at 10.6 kPa. For the theory and further details of this problem, see section 5.3 of the thesis "Coronary flow mechanics" by N.P.Smith.
Simulation of coupled flow/solid mechanics