The Bethe–Salpeter equation for bound states of a fermion–antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically) given matrices. PACS numbers : 11.10.St, 03.65.Ge ∗ E-mail address : [email protected] ‡ E-mail address : [email protected] † E-mail address : franz.schoebe...

in this paper to predict the critical conditions for onset of elastic-plastic wrinkling of flange of a two-layered circular blank during the deep-drawing process a closed-form semi-analytical elastic-plastic solution using tresca yield criterion alongwith deformation theory in plasticity with considernig the perfectly plastic behaviour of materials is presented. simplifying the presented soluti...

To analyze the optimal control of Typhoid fever virus a mathematical modeling was developed by Getachew Teshome Tilahun. We have approached Homotopy Perturbation Method to solve linear differential equation. An analytical solution Susceptible People(S), Infected People (I), Carrier (C), Recovered (R), and Bacteria ( is obtained compared with simulation results. A significant agreement produced ...

in this research three-dimensional free vibration analysis of functionally graded circular plate with various boundary conditions is achieved. a semi-analytical method, which makes use of the state space method and the one-dimensional differential quadrature method, is used to obtain the vibration frequencies and dynamic responses of circular plates. numerical results are given to demonstrate t...

The cavity expansion approach has been a popular tool to interpret wide range of geotechnical problems over the last several decades. Most previous research focused on cylindrical and/or spherical cavities, whereas nonstandard cavities have received much less attention. To address this shortcoming, paper presents general theoretical framework for two-dimensional (2D) displacement-controlled und...