Abstract In this study, we conducted a theoretical analysis of thermal stress around an arbitrarily-shaped hole in thermoelectric material under electric current density and energy flux loading. Based on complex variable methods, conformal mapping, analytical continuation theorem, the exact solutions were obtained for Seebeck coefficient heat conductivity. conversion efficiency equation materia...

A harmonic mapping is a univalent function of one complex variable. We define family mappings on the unit disk whose images are rotationally symmetric “rosettes” with n cusps or nodes, \(n\ge 3\). These analogous to n-cusped hypocycloid, but modified by Gauss hypergeometric factors, both in analytic and co-analytic parts. Relative rotations an angle \(\beta \) anti-analytic parts lead graphs th...

With the development of Industry 4.0, hard-cut materials such as titanium alloys have been widely used in aerospace industry. However, due to poor rigidity alloy parts, deformation and vibration easily occur during cutting process, which affects accuracy, surface quality efficiency part machining. Therefore, this paper, tool runout workpiece are introduced into milling process flat-end mills. B...

We detailedly describe a recently-developed semi-analytical method to quantitatively calculate light transmission properties of hollow-core anti-resonant fibers (HC-ARFs). Formation of equiphase interface at fiber’s outermost boundary and outward light emission ruled by Helmholtz equation in fiber’s transverse plane constitute the basis of this method. Our semi-analytical calculation results ag...

The hypocycloidal flanks of the cylindrical gear teeth have the flank lines defined by lengthened or shortened hypocycloid and the profile involute. The curved and bulged flanks have some advantages, among them being the increased strength in bending and controlled positioning of the contact imprint. The tooth flank generation has on the basis the application of the technological process of mil...