PSI - Issue 52

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ScienceDirect

Procedia Structural Integrity 52 (2024) 20–27 Structural Integrity Procedia 00 (2023) 000–000 Structural Integrity Procedia 00 (2023) 000–000

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© 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of Professor Ferri Aliabadi © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of Professor Ferri Aliabadi. Keywords: Guided waves, high-order spectral elements, viscoelastic propagation, Legendre polynomial, wave displacement profile Abstract Dispersion curves for elastic multilayer plates are useful to describe the behavior of guided wave modes in composite materials. They provide information to set up the appropriate launching conditions of the guided waves for assuring high scanning dis tances with sensitivity. This paper applies an e ffi cient Gauss-Lobatto-Legendre (GLL) collocation method to formulate the Scaled Boundary Finite Element Method SBFEM to estimate the dispersion curves and wave structure in metallic plates with viscoelastic coatings. This formulation is quite e ffi cient because it discretize the cross-section of each layer with only one spectral element. As a result, a global sti ff ness matrix is obtained by assembling the sti ff ness matrices of each layer. The formulation leads to a first-order eigenvalue problem by implementing the Z coe ffi cient matrix that can be e ffi ciently solved to compute the ( ω , k ) couples that guarantee the wave modes propagating in the structure. The estimated phase velocity and group velocity curves for coated and free plates show a small frequency shifting exhibited in some modes, with predominant displacement in the viscoelastic layer of the wave displacement profile. © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of Professor Ferri Aliabadi. Keywords: Guided waves, high-order spectral elements, viscoelastic propagation, Legendre polynomial, wave displacement profile Fracture, Damage and Structural Health Monitoring E ff ect of viscoelastic coating on Lamb wave propagation in plates Carlos A. Gala´n Pinilla a, ∗ , Jabid Eduardo Quiroga b , Dar´ıo Yesid Pen˜a Ballesteros a , Carlos Andre´s Tobar Can˜as a , Cesar Augusto Acosta Minoli c a Escuela de Ingenier´ıa Metalurgia y Ciencia de Materiales, Universidad Industrial de Santander (UIS), Cra 27, Calle 9, Bucaramanga 680002, Colombia b Escuela de Ingenier´ıa Meca´nica, Universidad Industrial de Santander (UIS), Cra 27, Calle 9, Bucaramanga 680002, Colombia c GEDES, Universidad del Quind´ıo, Carrera 15- calle 12 norte, Armenia 630004, Colombia Abstract Dispersion curves for elastic multilayer plates are useful to describe the behavior of guided wave modes in composite materials. They provide information to set up the appropriate launching conditions of the guided waves for assuring high scanning dis tances with sensitivity. This paper applies an e ffi cient Gauss-Lobatto-Legendre (GLL) collocation method to formulate the Scaled Boundary Finite Element Method SBFEM to estimate the dispersion curves and wave structure in metallic plates with viscoelastic coatings. This formulation is quite e ffi cient because it discretize the cross-section of each layer with only one spectral element. As a result, a global sti ff ness matrix is obtained by assembling the sti ff ness matrices of each layer. The formulation leads to a first-order eigenvalue problem by implementing the Z coe ffi cient matrix that can be e ffi ciently solved to compute the ( ω , k ) couples that guarantee the wave modes propagating in the structure. The estimated phase velocity and group velocity curves for coated and free plates show a small frequency shifting exhibited in some modes, with predominant displacement in the viscoelastic layer of the wave displacement profile. Fracture, Damage and Structural Health Monitoring E ff ect of viscoelastic coating on Lamb wave propagation in plates Carlos A. Gala´n Pinilla a, ∗ , Jabid Eduardo Quiroga b , Dar´ıo Yesid Pen˜a Ballesteros a , Carlos Andre´s Tobar Can˜as a , Cesar Augusto Acosta Minoli c a Escuela de Ingenier´ıa Metalurgia y Ciencia de Materiales, Universidad Industrial de Santander (UIS), Cra 27, Calle 9, Bucaramanga 680002, Colombia b Escuela de Ingenier´ıa Meca´nica, Universidad Industrial de Santander (UIS), Cra 27, Calle 9, Bucaramanga 680002, Colombia c GEDES, Universidad del Quind´ıo, Carrera 15- calle 12 norte, Armenia 630004, Colombia

1. Introduction 1. Introduction

Nowadays, Guided Waves-based Non-Destructive Testing (NDT) and Structural Health Monitoring (SHM) have generated increasing interest Jothi Saravanan (2021). These waves propagate guided by the boundaries of the waveg uide, and their propagation is a ff ected by the interaction of the wave with discontinuities such as defects or damage caused by corrosion, erosion, or fatigue. The detection and localization of these discontinuities in the material are achieved by capturing and analyzing the reflections produced by the interaction of the guided wave with these anoma- Nowadays, Guided Waves-based Non-Destructive Testing (NDT) and Structural Health Monitoring (SHM) have generated increasing interest Jothi Saravanan (2021). These waves propagate guided by the boundaries of the waveg uide, and their propagation is a ff ected by the interaction of the wave with discontinuities such as defects or damage caused by corrosion, erosion, or fatigue. The detection and localization of these discontinuities in the material are achieved by capturing and analyzing the reflections produced by the interaction of the guided wave with these anoma-

∗ Corresponding author. Tel.: + 57-313-201-1885. E-mail address: carlos.galan@correo.uis.edu.co ∗ Corresponding author. Tel.: + 57-313-201-1885. E-mail address: carlos.galan@correo.uis.edu.co

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of Professor Ferri Aliabadi 10.1016/j.prostr.2023.12.003 2210-7843 © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of Professor Ferri Aliabadi. 2210-7843 © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of Professor Ferri Aliabadi.