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PEPSI – FILLED CRACKES ANALYSIS, WITH A NEW CONSTRUCTION PROCTON RISK.
In this paper we propose a new model for the treatment of the deleterious effect of slabs and pipes cracks. This treatment takes into account the effect of electromagnetic field on the proton density in the cracks. In order to achieve this goal, we developed new mathematical tools and related codes. This new physical model will allow to compute the proton density in slabs and pipes cracks in electronic material. The main aim of this article is to introduce the new mathematical tools developed to solve this model. The new model is based on the interaction between the electric current density in the slab/pipe and the proton density present in the cracks of this material. This interaction causes a change in the proton density in the cracks due to the direct effect of the electric current density. This is a linear complex polar law. These cracks are the main source of defect in crasses and other defects in the material. Unfortunately, the existing models for material defects are either too crude, or require long computation times or the availability of large computing facilities, so they are not applicable for crack analysis for different types of cracks. The proposed model is based on the electric current density, the electric field and the proton density in the cracks. In addition, it uses a new formulation of the Faraday law that uses the Lorentz force and the electromagnetic field described by the Procter and Gribov’s book  to compute the proton density change in the cracks due to the electric current density in the slab/pipe. This model is particularly well suited for short periods of time and low temperatures. In addition, it is less sensitive to the empirical coefficients than the previous models. This new physical model has been used in the simulation of slabs and pipes as explained in the paper. This paper will be divided into three sections: Section 1 is a discussion of the measurement method to extract crack geometry. Section 2 is a computational model for the evolution of cracks in the material based on the electric current density. This section explains the effect of the electric current density on proton density in the cracks. Section 3 is the discussion of the results and conclusion.
Measurement of the Crack Shape
A way to detect cracks in the crack contour is to use the X-ray imagery. The principle is based on the fact that X-rays are strongly attenuated in cracks as opposed to the