Implementation of user supplied constitutive law for the analysis of hyper-elastic pipe flow using the fluid-structural interaction method

Abstract

The Fluid-Structural Interaction (FSI) method is based on computational fluid dynamics and finite element method for the behavior of fluid and solid. This method is suitable for the analysis that consider both the motion of structures and flow characteristics and especially useful when the structure is flexible and the impact of structural motion on flow is large. In particular, hyperelastic materials have properties such as incompressibility and large deformation when they are more flexible than others. Moreover, the aspect represents a large difference according to the gradient of materials. In this study, the data values of hyperelastic materials are obtained through simple tension and compression experiments in the reference for making finite element model. We perform a couple of tests how non-linear material models, such as the Mooney-Rivlin model, have effects to the simple and stenosed pipe. In addition, we devise constitutive equations of the modified Mooney-Rivlin model, called the Signiorini and James-Green-Simpson model, using User Subroutine based on ANSYS and FORTRAN programs. In conclusion, we make the process how to get new constitutive equations when the hyperelastic model is to be applied to non-linear models. Non-linear pipe models applied to the hyperelastic material are compared to the effects of linear elastic pipe models applied the elastic material as a former research. © 2012 American Scientific Publishers. All rights reserved.