Using analytical and numerical methods, we analyze the Raj–Ashby bicrystal model of diffusionally accommodated grain–boundary sliding for finite interface slopes. In that model, two perfectly elastic layers of finite thickness are separated by a given fixed spatially periodic interface. Dissipation occurs by two processes: time–periodic shearing of the interfacial region; and time–periodic diff...

In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling...

Three-dimensional patterns have been widely considered for the generation of lightweight internal structures in design methodologies additive manufacturing. Accordingly, triply periodic minimal surfaces previously explored due to their improved mechanical performance compared traditional lattice structures. The present study analyses effect parameters on relative density Primitive and Gyroid pa...

in this article, multiple-product pvrp with pickup and delivery that is used widely in goods distribution or other service companies, especially by railways, was introduced. a mathematical formulation was provided for this problem. each product had a set of vehicles which could carry the product and pickup and delivery could simultaneously occur. to solve the problem, two meta-heuristic methods...

We denote by ct(m)(n) the coefficient of qn in series expansion (q;q)∞m(qt;qt)∞−m, which is m-th power infinite Borwein product. Let t and m be positive integers with m(t−1)≤24. provide asymptotic formula for ct(m)(n), give characterizations n positive, negative or zero. show that ultimately periodic sign conjecture this still true other integer values m. Furthermore, we confirm cases (t,m)=(2,...