In this paper, we prove the local well-posedness of the Ericksen-Leslie system, and the global well-posednss for small initial data under the physical constrain condition on the Leslie coefficients, which ensures that the energy of the system is dissipated. Instead of the GinzburgLandau approximation, we construct an approximate system with the dissipated energy based on a new formulation of th...

Multiple physical variables potentially affect the friction coefficient of Asymmetric Friction Connections (AFC). This paper discusses cyclic response a class AFC subjected to repeated load protocols. Two phenomena are observed. First, coefficient, initially higher due wear and moment-axial force-shear force interaction, stabilizes after multiple cycles. Second, test repetitions on same specime...

The results showed that (1) the ultimate shear deformation of the rubber bearings with two fixed end plates reached 300% to 400% of the rubber layer thickness. The damage was mainly focused on the rubber layer fracture. The energy dissipation capacity of the bearings was weak, and the hysteresis curve presented a narrow zonal shape. (2) The rubber bearings with unilateral friction sliding had a...

In this paper, we investigate inherent mesoscale spatial fluctuations of the coefficient friction (COF) in dry frictional phenomena by modelling it as a random field. The statistical properties resulting global forces and torque are derived for three types interface motion: pure translation, rotation general planar motion. Closed-form formulas case where has square geometry numerical simulation...

the first step in studying dust events is the estimation of dust emission from sources. in this study, the simulations of the vertical dust flux (vdf) over iran by the mba (marticorena, bergametti, and alfaro) and shao schemes are compared. the mba scheme is energy-based and derived on the basis of energy balance between the kinetic energy of saltating particles and binding energy of the surfac...

We study the bending of a book-like system, comprising stack elastic plates coupled through friction. The behavior this layered system is rich and nontrivial, with non-additive enhancement apparent stiffness significant hysteretic response. A dimension reduction procedure employed to develop centerline-based theory describing as non-linear planar rod internal shear. consider coupling between no...

The phase angle of the cantilever oscillation in tapping mode scanning force microscopy can be related to the energy dissipated per oscillation period through an analytical model that assumes a sinusoidal movement of the cantilever @J. Tamayo and R. Garcı́a, Appl. Phys. Lett. 73, 2926 ~1998!; J. P. Cleveland, B. Anczykowski, E. Schmid, and V. Elings, Appl. Phys. Lett. 72, 2613 ~1998!#. In this w...

In this paper, we study the role of boundary conditions on the optimal shape of a dyadic tree in which flows a Newtonian fluid. Our optimization problem consists in finding the shape of the tree that minimizes the viscous energy dissipated by the fluid with a constrained volume, under the assumption that the total flow of the fluid is conserved throughout the structure. These hypotheses model s...