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Comparative study to assess reliability in the presence of two geometric defect shapes for non-destructive testing

Oudni Zehor, Berkache Azouaou, Mehaddene Hamid, Mohellebi Hassane, Lee Jinyi

Przegląd Elektrotechniczny

2019

R. 95, nr 12

48--52

This study aims at evaluating the reliability for non-destructive eddy currents control. Two geometrical forms of the defect are generated whose dimensions and the electrical conductivity of the studied material are random variables of Gaussian type. The model SSFEM constructs allows the treatment and the post-treatment of the problem posed in a single step. the results of the impedance variation are compared with those of the Monte Carlo simulation and the experimental measurements. The state of reliability is quantified for the two forms of the defect.

Analizowana jest wiarygodność detekcji metodą prądów wirowych. Badana jest obecność dwóch różnych defektów których kształt jest przypadkowy. Wykorzystywano model SSFEM. Metodę porównano z rezultatami przy wykorzystaniu metody |Monte Carlo oraz z eksperymentem.

Second-order theory for iteration stable tessellations

Schreiber T., Thäle C.

Probability and Mathematical Statistics

2012

Vol. 32, Fasc. 2

281--300

This paper deals with iteration stable (STIT) tessellations, and, more generally, with a certain class of tessellations that are infinitely divisible with respect to iteration. They form a new, rich and flexible family of space-time models considered in stochastic geometry. The previously developed martingale tools are used to study second-order properties of STIT tessellations. A general formula for the variance of the total surface area of cell boundaries inside an observation window is shown. This general expression is combined with tools from integral geometry to derive exact and asymptotic second-order formulas in the stationary and isotropic regime. Also a general formula for the pair-correlation function of the surface measure is found.