We study min–max theory for the area functional among hypersurfaces constrained in a smooth manifold with boundary. A Schoen–Simon-type regularity result is proved integral varifolds which satisfy variational inequality and restricts to stable minimal hypersurface interior. Based on this, we show that any admissible family of sweepouts $$\Pi $$ compact boundary, there always exists closed $$C^{...

In the current research work, the problem of fracture mechanics in a plate with a central hole under tensile loading is studied. The stress intensity factors are calculated for a finite plate containing two symmetrical hole-edge cracks. The problem is solved by two different methods, namely the finite element method and the FRANC software analysis. At first the finite element method is used and...

The present work aims at reducing the friction of rubber soles sliding on ceramic floorings. Fitting bored cylindrical protrusions with different diameters on rubber soles was proposed. Experiments were carried out to evaluate the performance of the proposed protrusions in increasing friction coefficient at dry and contaminated floorings. It was found that, at dry sliding, friction coefficient ...

The tidal Love numbers of a black hole vanish, and this is often taken to imply that the hole's tidally induced multipole moments vanish also. An obstacle establishing link between these statements individual bodies are not defined in general relativity, when subjected mutual gravitational interaction. In previous publication [Phys. Rev. D 103, 064023 (2021)] I promoted view can be interaction ...

In this paper, recurrent neural network is used for path planning in the joint space of the robot with obstacle in the workspace of the robot. To design the neural network, first a performance index has been defined as sum of square of error tracking of final executor. Then, obstacle avoidance scheme is presented based on its space coordinate and its minimum distance between the obstacle and ea...

In this paper, we calculate electron and hole impactionization coefficients in In0.52Al0.48As using a Monte Carlo modelwhich has two valleys and two bands for electrons and holesrespectively. Also, we calculate multiplication factor for electronand hole initiated multiplication regimes and breakdown voltagein In0.52Al0.48As PIN avalanche photodiodes. To validate themodel, we compare our simulat...

many experimental studies have been conducted on development of the scour hole as a result of vertical jet impaction. research has shown that aeration of the nappe flow in the model is much weaker than that in the prototype. therefore, the influence of aeration on scour holes needs further study. experimental investigation of the effects of air entrainment and tail water depth on the scour hole...