Inverse scattering problem for identification buried object in a thermoelastic layer

Elmorabie, Khaled M.

doi:10.1080/01495739.2020.1755613

Cited by 1 publication

(4 citation statements)

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“…This kind of inverse problem is formulated to identify the size and location of a defect in a medium based on the measured output data from the model since the scattered surface waves are the output data from a scatterer or defect in the medium. Many previous inverse problems are concerned with the scattering waves from different layered media under various boundary conditions, such as [4,5,8,26,27].…”

Section: The Inverse Problem and Applicationsmentioning

confidence: 99%

“…It is well known, the inverse problem is always an ill-posed problem. The geometric inverse problem of identifying an object with a smooth contour of finite parameters is considered a finite-dimensional inverse problem and furthermore well posed, see the proof in Elmorabie [27]. In the previous works [4,5,8,26,27], we have developed a numerical technique for solving the geometric inverse problem based on constructing a minimization problem by a discrepancy functional relative to the object's parameters, as will be shown later.…”

Section: The Inverse Problem and Applicationsmentioning

confidence: 99%

Section: The Inverse Problem and Applicationsmentioning

confidence: 99%

“…In the previous works [4,5,8,26,27], we have developed a numerical technique for solving the geometric inverse problem based on constructing a minimization problem by a discrepancy functional relative to the object’s parameters, as will be shown later. The steps of solving the inverse problem are arranged as follows:…”

Section: The Inverse Problem and Applicationsmentioning

confidence: 99%

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Identification of an elliptic void in a piezoelectric layer by two types of loads

Elmorabie

Yahya

2023

Mathematics and Mechanics of Solids

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This study investigates the effect of mechanical load and electric voltage on the scattering waves of a buried object in a piezoelectric layer, added to that, the study examines the detection of the buried object through its scattering surface waves. The procedure of the study includes two cases which include two steps each. During step 1 of case 1, the researchers applied a periodic mechanical load upon layer containing an elliptic void, where the size and location are predetermined. A system of coupled boundary integral equations utilizing the generalized Green’s identity and the reciprocal work theorem is formulated. The boundary element method supported by Green’s functions was employed to solve the formulated integral equations. Hence, the deformation and electric potential over the object’s contour are identified. Step 2 examined optimization problem to identify the object’s parameters, i.e., its size and location, by minimizing a structure of discrepancy functional. The quasi-Newton iterative method and the Genetic Algorithm (GA) are used for solving the inverse problem. Case 2 of the study examined the effect of electric voltage on the scattering waves of a buried object in the piezoelectric layer. The procedures of case 1 are administered to case 2 to compare the accuracy of detection results in both cases of the study. A series of practical examples are presented with random noisy data to compare the effect of such loads on the process of detection. The results indicate that using the mechanical load in detecting buried object is clearly accurate compared to voltage load detection.

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