In the past, most of the fluid-structure interaction researches are concerned with structures of simple shapes or linear elastic materials because analysis programs for such structures are easy to be implemented or available as commercial packages. Little attention has been paid to fluid-structure interaction of complex structural shapes and nonlinear material properties. However, by linking finite element (FE) packages and fluid-structural interaction analysis programs, these types of interaction problems can be easily solved. Peskin’s immersed boundary (IB) method is traditionally used for finding interaction forces between fluids and solid materials along the interface among them. In this study, we carry out fluid-structure interaction analysis by integrating the FE package ABAQUS and the IB method as a research platform. Here, finite element formulations are implemented via ABAQUS to solve the large deformation problems for polymer materials in liquid by introducing fluid-solid interaction forces across the immersed boundaries of the materials through the IB method incorporated in this platform.
The main themes of this research include the formulations of mechanics which embrace conservation equations, kinematics descriptions and computing algorithms especially developed for elaborating fluid-solid interaction modeling. The concept of the fluid-solid finite element formulations in this research is an adaptation of Peskin’s IB method. In this research presentation, we are further proposing that fluid-solid interaction forces acting on the neighboring fluid and solid particles are naturally action and reaction to each other satisfying Newton’s third law. For boundary value problems in solid mechanics, we consider a hyperelastic material model with the Neo-Hookean material description including nonlinear material behaviors and large shape changes for an isotropic solid to understand mechanical responses of soft materials surrounded by fluids. For model problems of viscous incompressible fluid in fluid dynamics, the Navier-Stoke equations of the incompressible Newtonian fluids are utilized by introducing the finite difference operators and subjecting proper initial and boundary conditions. Finally, we anticipate that this technique will open doors for understanding more physics related to fluid-structure interaction such as physiological states of deformed biological specimens under environmental loadings in liquid.
The 12th World Congress on Computational Mechanics & The 6th Asia-Pacific Congress on Computational Mechanics