On the ground of manufacturing, sheet metal parts play a key role as they cover about half of the production processes. Sheet metals are commonly obtained from rolling and forming processes which causes misalignment of micro structure resulting obvious anisotropic characteristics and micro cracks. Presence of micro cracks poses serious attention, when stresses at the tip reach to the critical v...

We study c-crossing-critical graphs, which are the minimal graphs that require at least c edgecrossings when drawn in the plane. For c = 1 there are only two such graphs without degree-2 vertices, K5 and K3,3, but for any fixed c > 1 there exist infinitely many c-crossing-critical graphs. It has been previously shown that c-crossing-critical graphs have bounded path-width and contain only a bou...

In this paper, the stability characteristics of single-walled carbon nanotubes (SWCNTs) under the action of axial load are investigated. To this end, a nonlocal Flügge shell model is developed to accommodate the small length scale effects. The analytical Rayleigh-Ritz method with beam functions is applied to the variational statement derived from the Flügge-type buckling equations. Molecular dy...

This paper evaluates three critical plane criteria, namely the Findley, Matake and modified Wöhler curve method compares them to IIW’s implementation of Gough–Pollard criteria. Assessment is conducted on a large set fatigue data thin-walled tube–tube laser beam welded specimens made magnesium aluminum alloys that were tested under proportional/non-proportional constant/variable amplitude loadin...

During the last decades, the railway traffic in densely populated areas has increased. At the same time, passenger trains have become faster and freight trains have become heavier. Consequently, trains are an increasing source of ground vibration, which may be a nuisance to people, buildings and sensitive equipment. In this research, a two-dimensional dynamic system, including underground train...

We prove that quasi-concave positive solutions to a class of quasi-linear elliptic equations driven by the $p$-Laplacian in convex bounded domains plane have only one critical point. As consequence, we obtain strict concavity results for suitable transformations these solutions.