Abstract
In this paper, an iterative technique, employing the T formulation associated with the finite element method, based on Maxwell's equations and the Biot-savart law, is used for analyzing the density of eddy currents in composite carbon fiber reinforced polymer (CFRP) materials. For this purpose, a code has been developed for solving an electromagnetic 3D non-destructive evaluation problem. This latter permits the characterization of this CFRP and determinate of fibers orientation using the impedance variation which is implanted in polar diagram. Firstly, the obtained results are compared with those of the analytical model. This comparison reveals a high concordance which proves the validity of the proposed method. Secondly, three different applications are shown for illustrating the characterization of unidirectional, bidirectional and multidirectional piece using a rectangular coil plotted in normalized impedance diagram.
Highlights
Carbon fiber composite materials (CFRP) occupy a privileged place in industrial fields, [1] and are more and more popular compared to isotropic materials, because of their mechanical properties, such as high mechanical tensile strength, light weight, corrosion resistance and ability to adapt to complex geometric shapes
We have developed a Matlab calculation code based on ⃗ -iterative technique solved by 3D finite element method, to solve an EC-non-destructive testing (NDT) problem that contains an absolute circular sensor and unidirectional plate
Maxwell equations describe the physical model used for electromagnetic EC problems solved with the finite element method (FEM), that allows determining the response of eddy current sensor
Summary
Carbon fiber composite materials (CFRP) occupy a privileged place in industrial fields, [1] and are more and more popular compared to isotropic materials, because of their mechanical properties, such as high mechanical tensile strength, light weight, corrosion resistance and ability to adapt to complex geometric shapes. In 2009, [15] exploited this iterative method associated with the finite difference method to characterize the composite carbon fiber materials (CFRP), and in 2012, [16] used the same method coupled with the finite volume method to characterize isotropic materials and CFRP composites possibly containing defects In this context, we have developed a Matlab calculation code based on ⃗ -iterative technique solved by 3D finite element method, to solve an EC-NDT problem that contains an absolute circular sensor and unidirectional plate. The mesh of the sensor / plate is made separately using Gmsh software [18]
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