2021
DOI: 10.1007/s00158-021-03145-1
|View full text |Cite
|
Sign up to set email alerts
|

Damage identification in plate structures based on the topological derivative method

Abstract: In this work, a novel approach for solving a damage identification problem in plate structures based on the topological derivative method is proposed. The forward problems are governed by the elastodynamic Kirchhoff and Reissner-Mindlin plate bending models in the frequency domain. The inverse problem consists in finding a set of damages from pointwise domain measurements of the plate displacement field. The damage is represented by a variation in the plate thickness, which is assumed to be given by a piecewis… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
4
1

Relationship

0
5

Authors

Journals

citations
Cited by 5 publications
(2 citation statements)
references
References 53 publications
0
2
0
Order By: Relevance
“…A method based on the multi-frequency D T was developed as an alternative to standard guided-waves-based Structural Health Monitoring (SHM) methods and used for locating the presence of flaws in thin plates (Martinez Dominguez et al [2018]). The damage identification based on the D T method was addressed in (da Silva and Novotny [2022]) for problems governed by the elastodynamic Kirchhoff and Reissner-Mindlin plate bending models in the frequency domain. According to this brief review, the reader can have an idea about the wide range of the use of D T in physical phenomena modeled by partial differential equations.…”
Section: Discussionmentioning
confidence: 99%
“…A method based on the multi-frequency D T was developed as an alternative to standard guided-waves-based Structural Health Monitoring (SHM) methods and used for locating the presence of flaws in thin plates (Martinez Dominguez et al [2018]). The damage identification based on the D T method was addressed in (da Silva and Novotny [2022]) for problems governed by the elastodynamic Kirchhoff and Reissner-Mindlin plate bending models in the frequency domain. According to this brief review, the reader can have an idea about the wide range of the use of D T in physical phenomena modeled by partial differential equations.…”
Section: Discussionmentioning
confidence: 99%
“…Xue et al [28] applied the contingent probability method to track sources of pollutants in open air with a constant emission. Da Silva et al [29] proposed a new approach to the problem of damage identification in plate structures based on the method of topological derivatives. Three inclusions were identified with 32% confidence.…”
Section: Introductionmentioning
confidence: 99%