We consider the hydrodynamic limit of a stationary Boltzmann equation in a unit plate with in-flow boundary. The classical theory claims that the solution can be approximated by the sum of interior solution which satisfies steady incompressible Navier-Stokes-Fourier system, and boundary layer derived from Milne problem. In this paper, we construct counterexamples to disprove such formulation in...

This study presents the dynamic and buckling analysis of laminated composite thin arch plate frame structures employing Classical Plate Theory with Finite Element Analysis. For this purpose, effects radius curvature, aspect ratio, stacking order such on first ten natural frequencies, mode shapes, critical load, unstable regions are investigated. Besides, two-bay curved structure is In to perfor...

In this paper, the vibrations of thin plate in modified couple stress thermoelastic medium by using Kirchhoff- Love plate theory has been investigated. The governing equations of motion and heat conduction equation for Lord Shulman (L-S) [1] theory are written with the help of Kirchhoff- Love plate theory. The thermoelastic damping of micro-beam resonators is analyzed by using the normal mode a...

In this paper, we present a variational theory of lift that, unlike Kutta’s theory, is derived from first principles in mechanics: Hertz’s principle least curvature. the unique value circulation determined by minimizing Appellian flowfield. Interestingly, it recovers Kutta condition special case an airfoil with sharp trailing edge. apply such to classical problem flow over flat plate. The resul...

fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). it is well known that the structure and prope...

Based on recent studies by Guy Jumarie [1] which defines probability density of fractional order and fractional moments by using fractional calculus (fractional derivatives and fractional integration), this study expands the concept of probability density of fractional order by defining the fractional probability measure, which leads to a fractional probability theory parallel to the classical ...

In this paper, a new viscoelastic size-depended model developed based on a modified couple stress theory and the for nonlinear viscoelastic material in order to vibration analysis of a viscoelastic nanoplate. The material of the nanoplate is assumed to obey the Leaderman nonlinear constitutive relation and the von Kármán plate theory is employed to model the system. The viscous parts of the clas...

Measurements of the velocities of the extensional and flexural plate modes were made along three directions of propagation in four graphite/ epoxy composite plates. The acoustic signals were generated by simulated acoustic emission events (pencil lead breaks or Hsu-Neilsen sources) and detected by broad band ultrasonic transducers. The first arrival of the extensional plate mode, which is nondi...

This study presents the dynamic and buckling analysis of laminated composite thin arch plate frame structures employing Classical Plate Theory with Finite Element Analysis. For this purpose, The effects radius curvature, aspect ratio, stacking order such on first ten natural frequencies, mode shapes, critical load, unstable regions are investigated. Besides, two-bay curved structure is In to pe...