An inhomogeneous solid layer is bounded on one side by a fluid half-space and on the other by a homogeneous solid half-space. An acoustic wave in the fluid is incident on the layer. Experiments suggest that some kind of shear-wave resonance of the layer exists. Here, the layer is modeled with exponential variations of the material properties (Epstein model). Solutions in terms of hypergeometric...

The origin of rigidity in disordered materials is an outstanding open problem in statistical physics. Previously, a class of 2D cellular models has been shown to undergo a rigidity transition controlled by a mechanical parameter that specifies cell shapes. Here, we generalize this model to 3D and find a rigidity transition that is similarly controlled by the preferred surface area: the model is...

Abstract A method to identify the surface of solid models immersed in fluid flows is devised that examines spatial distribution flow tracers. The fluid–solid interface associated with distance from center a circle centroid tracers ensemble captured within it. theoretical foundation presented for 2D planar interfaces limit continuous tracer distribution. discrete regime analyzed, yielding uncert...

Flexible inhibitors are generally used in solid rocket motors (SRMs) as a means to control the burning of propellant. Vortices generated by the flow of propellant around the flexible inhibitors have been identified as a driving source of instabilities that can lead to thrust oscillations in launch vehicles. Potential coupling between the SRM thrust oscillations and structural vibration modes is...

One of the interesting state-of-the-art approaches to welding is the process of friction stir welding (FSW). In comparison with the fusion processes, FSW is an advantageous method as it is suitable for the non-fusion weldable alloys and polymeric materials joining. Regarding the materials pure solid state joining, it also provides joints with less distortion and enhanced mechanical properties. ...

∗ In this chapter we uncover through numerical simulation the velocity and pressure fields inside a model porous medium composed of an infinitely extending array of staggered square rods. These microtransport simulations allow for the prediction of macrotransport parameters that are of value to the volume-averaged description of fluid motion in porous media. We focus on computing the macroscopi...

The increasing flash flood hazards in major cities like Kuala Lumpur have caused tremendous damages to the society and this requires more essential countermeasures to be implemented. With the advancement in 3D Computer Graphics and fluid simulation technologies, movie experts can now produce realistic visual effects for fluid objects such as water. This paper describes a study made to model and...

The solid/fluid interface appears in many ultrasonic measurement systems. Models for the system must take account of the interface. Analytical models for wave phenomena at the interface (especially curved interfaces) are either difficult or subject to severe approximation. The finite element method is ideal for this especially when the problem domain is bounded. A survey of this subject has bee...

Method for 3D rendering based on intersection image display which allows representation of internal structure is proposed. The proposed method is essentially different from the conventional volume rendering based on solid model which allows representation of just surface of the 3D objects. By using afterimage, internal structure can be displayed through exchanging the intersection images with i...

Based on cell complex theory, after analyzing the corresponding relationship among cell, cell complex and 3D spatial solid, a formal definition for 3D spatial solid is presented. Through analyzing the geometric constructing relationship between cell and cell complex, we induce element boundary define and adhesive relationship existed in 3D spatial object; analyse three kinds of non-manifold cas...