In this paper, a semi-analytical solution for magneto-thermo-elastic problem in an axisymmetric functionally graded (FG) hollow rotating disk with constant thickness placed in uniform magnetic and thermal fields with heat convection from disk’s surfaces is presented. Solution for stresses and perturbation of magnetic field vector in a thin FG rotating disk is determined using infinitesimal theo...

We study cutoff and lattice effects in the O(n) symmetric ϕ 4 theory for a d-dimensional cubic geometry of size L with periodic boundary conditions. In the large-n limit above T c , we show that ϕ 4 field theory at finite cutoff Λ predicts the nonuniversal deviation ∼ (ΛL) −2 from asymptotic bulk critical behavior that violates finite-size scaling and disagrees with the deviation ∼ e −cL that w...

In this paper, an analytical method for noncircular shape extrusion is presented. Using this method, non-linear deformation field can be described with Hermit cubic spline which is prescribed by the boundary conditions of the die at its entryand exit. The upper bound method has been used to obtain optimum coefficient of the tangential boundary conditions. The results show that the optimum tange...

In this paper, an analytical method for noncircular shape extrusion is presented. Using this method, non-linear deformation field can be described with Hermit cubic spline which is prescribed by the boundary conditions of the die at its entryand exit. The upper bound method has been used to obtain optimum coefficient of the tangential boundary conditions. The results show that the optimum tange...

By properly considering the propagation dynamics of dipole field, we obtain full magnetic dipolar interaction between two quantum dipoles for general situations. With help Maxwell equation and corresponding Green function, this result applies boundary conditions, naturally unifies all terms permanent dipoles, resonant or non-resonant transition even counter-rotating altogether. In particular, s...

We analyse boundary conformal field theories on random surfaces using the conformal gauge approach of David, Distler and Kawai. The crucial point is the choice of boundary conditions on the Liouville field. We discuss the Weyl anomaly cancellation for Polyakov’s non-critical open bosonic string with Neumann, Dirichlet and free boundary conditions. Dirichlet boundary conditions on the Liouville ...

In the present study, the classical plate theory (CPT) was used to study sound radiation of forced vibrating thin circular plates coupled with piezoelectric layers using simply supported and clamped boundary conditions. The novelty of the study consists of an exact closed-form solution that was developed without any use of approximation. Piezoelectric, electrical potential loaded in the transve...