Many thin three-dimensional elastic bodies can be reduced to elastic shells: two-dimensional elastic bodies whose reference shape is not necessarily flat. More generally, morphoelastic shells are elastic shells that can remodel and grow in time. These idealized objects are suitable models for many physical, engineering, and biological systems. Here, we formulate a general geometric theory of no...

Plane strain deformations near the tip of a crack between two homogeneous and isotropic linear elastic bodies are studied on the assumptions that the two surfaces on either side of the crack contact each other and that the dilatation everywhere in the body is greater than or equal to a constant. The region where the dilatation equals the constant is called the locking region. It is found that o...

The present investigation studies the behavior of steady flow of visco-elastic liquid between two porous coaxial circular cylinders, where both the cylinders are rotating with different uniform angular velocities about the common axis. In addition, the inner cylinder has uniform velocity along the axis and the visco-elastic fluid, which is a Walters liquid B′, is allowed to flow in the annulus....

Temper rolling or skin pass rolling is one of cold rolling processes composed of a horizontal pass cold rolling mill stand. In this process, the thick strip is subjected to very light reduction (0.5–4%) in thickness in the presence of high friction amplitudes. One of the basic parameters of strip rolling processes is temper rolling force. A new rolling force model has been proposed for temper r...

Suitable macroscopic quantities beyond effective elastic properties are used to assess the distribution of stress within a composite. The composite is composed of N anisotropic linearly elastic materials and the length scale of the microstructure relative to the loading is denoted by ε. The stress distribution function inside the composite λε(t) gives the volume of the set where the norm of the...

To build a better stimulator display for the human tactile system, it is necessary to quantify the performance of that system. A fundamental component of a tactile stimulator system is an elastic layer which functions as an anti-aliasing filter. Psychophysical experiments performed measure the ability to statically perceive gratings through an intervening layer of elastic material. Spatial thre...

Actuating periodically an elastic filament in a viscous liquid generally breaks the constraints of Purcell's scallop theorem, resulting in the generation of a net propulsive force. This observation suggests a method to design simple swimming devices-which we call "elastic swimmers"-where the actuation mechanism is embedded in a solid body and the resulting swimmer is free to move. In this paper...

the high blood rate that often occurs in arteries may play a role in artery failure and tortuosity which leads to blackouts, transitory ischemic attacks and other diseases. however, vibration and instability analysis of carotid arteries are lacking. the objective of this study is to investigate the vibration and instability of the carotid arteries conveying blood under axial tension with surrou...