A phenomenology of isotropic magnetohydrodynamic (MHD) turbulence subject to both rotation and applied magnetic field is presented. It is assumed that the triple correlation decay time is the shortest between the eddy turn-over time and the ones associated to the rotating frequency and the Alfvén wave period. For Pm=1 it leads to four kinds of piecewise spectra, depending on four parameters: in...

A non-classical model for transversely isotropic magneto-electro-elastic circular Kirchhoff plates is established based on the extended modified couple stress theory. The Gibbs-type variational principle used to obtain governing equations and boundary conditions. To illustrate newly derived model, static bending problem of a clamped plate subjected uniformly distributed constant load solved num...

A low-power, non-thermal, ultrasonic deicing system is introduced as a potential deicing system for helicopter rotor blades that are currently being used. In this research effort, ultrasonic actuator disks excite isotropic plates and airfoil-shaped structures that are representative of helicopter leading edge protection caps. The system generates delaminating ultrasonic transverse shear stresse...

Laguerreminimal (L-minimal) surfaces are theminimizers of the energy ∫ (H2 −K)/KdA. They are a Laguerre geometric counterpart of Willmore surfaces, the minimizers of ∫ (H2 − K)dA, which are known to be an entity of Möbius sphere geometry. The present paper provides a new and simple approach to L-minimal surfaces by showing that they appear as graphs of biharmonic functions in the isotropic mode...

Abstract The article presents a solution to the bending problem for an infinite isotropic plate with circular rigid inclusion and arbitrarily oriented straight through cracks. It is assumed that under action of external load at infinity, faces all cracks are in smooth contact along region constant width near upper surface plate. obtained using methods theory functions complex variable potential...

Phase sensitive soft-x-ray microscopy methods enable the study of specimens for which phase effects are a prevalent contrast mechanism. One way to detect these phase effects is to optically implement the radial Hilbert transform by using spiral zone plates (SZPs), which results in the isotropic measurement of the amplitude and phase gradient in a sample. Soft-x-ray microscopy using an SZP as a ...

A class of planar, pin-jointed truss structures based on the ancient Kagome basket weave pattern with exceptional characteristics for actuation has been identified. Its in-plane stiffness is isotropic and has optimal weight among planar trusses for specified stiffness or strength. The version with welded joints resists plastic yielding and buckling, while storing minimal energy upon truss bendi...

In this study, stress and displacement functions of the three-dimensional theory of elasticity for homogeneous isotropic bodies are derived from first principles from the differential equations of equilibrium, the generalized stress – strain laws and the geometric relations of strain and displacement. It is found that the stress and displacement functions must be biharmonic functions. The deriv...

The excitation of forward and backward, Electromagnetic (EM) modes and fields in an anisotropic, parallel plate waveguide (meeting Dirichlet and Neumann boundary conditions), is studied, using a modified coordinate transformation which reduces Maxwell’s equations to the form of a Helmholtz wave equation satisfying Dirichlet and mixed-partial derivative boundary conditions. The EM modes and fiel...