SHM via topological derivative

Martinez Dominguez, Anjo and Guemes Gordo, Jesus Alfredo and Perales Perales, José Manuel and Vega De Prada, Jose Manuel (2018). SHM via topological derivative. "Smart Materials and Structures", v. 27 (n. 8); pp. 74-89. ISSN 0964-1726.


Title: SHM via topological derivative
  • Martinez Dominguez, Anjo
  • Guemes Gordo, Jesus Alfredo
  • Perales Perales, José Manuel
  • Vega De Prada, Jose Manuel
Item Type: Article
Título de Revista/Publicación: Smart Materials and Structures
Date: 2018
ISSN: 0964-1726
Volume: 27
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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This paper deals with the use of the topological derivative as an analysis tool for structural health monitoring, to locate the presence of ?aws in a homogeneous material plate that is subject to guided elastic waves excitation. Using a numerical solver to compute the response of the system and de?ning a scalar objective function that measures the least squares difference between the measured and calculated signals, the topological derivative somehow describes the sensitivity of the objective function to localized perturbations of the material properties due to the presence of defects. Thus, defects are guessed to be located near the topological derivative peaks. This is somehow related to theminimizationof theobjectivefunctionandusesthewholephysics ofthe problem (to computethe objectivefunction),insteadofasmalleramountofphysicalinformation,asconventionalmethodsdo. Here, we reconstruct small defects via the topological derivative by using multi-frequency synthetic data, for several representative con?gurations of the actuators and sensors, and several defect locations. Among these, some fairly demanding con?gurations are considered that are not accessible to conventional methods, such as actuators and sensors located very close to the plate boundary, and defects located beyond both elongated through-slits and elongated inclusions of a different material.

Funding Projects

Government of SpainTRA2016-75075-RUnspecifiedUnspecifiedGeneración eficiente y postproceso de bases de datos aeronáuticas

More information

Item ID: 60426
DC Identifier:
OAI Identifier:
DOI: 10.1088/1361-665X/aac78a
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 03 Feb 2021 11:47
Last Modified: 17 May 2022 13:57
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