Elastic constants identification of woven fabric reinforced composites by using guided wave dispersion curves and genetic algorithm

2020 ◽  
Vol 249 ◽  
pp. 112569 ◽  
Author(s):  
Pawel Kudela ◽  
Maciej Radzienski ◽  
Piotr Fiborek ◽  
Tomasz Wandowski
Keyword(s):  
Genetic Algorithm ◽  
Elastic Constants ◽  
Wave Dispersion ◽  
Dispersion Curves ◽  
Guided Wave ◽  
Woven Fabric ◽  
Reinforced Composites

Stressed Cylinder Dispersion Curves Based on Effective Elastic Constants and SAFE Method

2018 ◽  
Vol 774 ◽  
pp. 295-302
Author(s):  
Jabid E. Quiroga Mendez ◽  
Octavio Andrés González-Estrada ◽  
Diego F. Villegas
Keyword(s):  
Elastic Constants ◽  
Guided Waves ◽  
Equivalent Stress ◽  
Wave Dispersion ◽  
Dispersion Curves ◽  
Guided Wave ◽  
Effective Elastic Constants ◽  
Stress Strain Relation ◽  
Bulk Waves ◽  
Cylindrical Waveguides

A Semi-Analytical Finite Element (SAFE) formulation is applied to determinethe dispersion curves in homogeneous and isotropic cylindrical waveguides subject touniaxial stress. Bulk waves are required for estimating the guided wave dispersion curvesand acoustoelasticity states a stress dependence of the ultrasound bulk velocities. Therefore,acoustoelasticity influences the wave field of the guided waves. Effective Elastic Constants(EEC) has emerged as a less complex alternative to deal with the acoustoelasticity; allowinga stressed material to be assumed as an unstressed material with EEC which considers thedisturbance linked to the presence of stress. In this approach the isotropic specimen subjectto load is studied by proposing an equivalent stress-free with a modified elasticity matrixwhich terms are the EEC. EEC provides an approximate stress-strain relation facilitating thedetermination of the dispersion curves using the well-studied numerical solution for the stressfreecases reducing the complexity of the numerical implementation. Therefore, a numericalmethod combining the SAFE and EEC is presented as a tool for the dispersion curve generationin stressed cylindrical specimens. The results of this methodology are verified by comparingthem with an approach previously reported in the literature based on SAFE including the fullstrain-displacement relation

Elastic Guided Waves in Composite Pipes

2004 ◽  
Author(s):  
Younho Cho ◽  
Joseph L. Rose ◽  
Chong Myoung Lee ◽  
Gregory N. Bogan
Keyword(s):  
Guided Waves ◽  
Variational Calculus ◽  
Wave Dispersion ◽  
Dispersion Curves ◽  
Guided Wave ◽  
Finite Element Software ◽  
Layer Composite ◽  
Superposition Technique ◽  
Composite Pipes ◽  
Iterate Process

An efficient technique for the calculation of guided wave dispersion curves in composite pipes is presented. The technique uses a forward-calculating variational calculus approach rather than the guess and iterate process required when using the more traditional partial wave superposition technique. The formulation of each method is outlined and compared. The forward-calculating formulation is used to develop finite element software for dispersion curve calculation. Finally, the technique is used to calculate dispersion curves for several structures, including an isotropic bar, two multi-layer composite bars, and a composite pipe.

scholarly journals Measurement of Elastic Constants of Thin Metallic Foil by Guided Wave Dispersion Characteristics

2012 ◽  
Vol 32 (1) ◽  
pp. 41-46 ◽  
Author(s):  
Dong-Jin Lee ◽  
Youn-Ho Cho ◽  
Kang-Won Jang ◽  
Seung-Hyun Cho ◽  
Bong-Young Ahn
Keyword(s):  
Elastic Constants ◽  
Wave Dispersion ◽  
Guided Wave ◽  
Dispersion Characteristics ◽  
Metallic Foil

scholarly journals A Recursive Legendre Polynomial Analytical Integral Method for the Fast and Efficient Modelling Guided Wave Propagation in Rectangular Section Bars of Orthotropic Materials

2021 ◽  
Vol 26 (3) ◽  
pp. 221-230
Author(s):  
Xiaoming Zhang ◽  
Shuangshuang Shao ◽  
Shuijun Shao
Keyword(s):  
Numerical Integration ◽  
Legendre Polynomial ◽  
Guided Waves ◽  
Three Dimensional ◽  
Infinite Plate ◽  
Wave Dispersion ◽  
Dispersion Curves ◽  
Guided Wave ◽  
Orthotropic Materials ◽  
Polynomial Method

Ultrasonic guided waves are widely used in non-destructive testing (NDT), and complete guided wave dispersion, including propagating and evanescent modes in a given waveguide, is essential for NDT. Compared with an infinite plate, the finite lateral width of a rectangular bar introduces a greater density of modes, and the dispersion solutions become more complicated. In this study, a recursive Legendre polynomial analytical integral (RLPAI) method is presented to calculate the dispersion behaviours of guided waves in rectangular bars of orthotropic materials. The existing polynomial method involves a large number of numerical integration steps, and it is often computationally costly to compute these integrals. The presented RLPAI method uses analytical integration instead of numerical integration, thus leading to a significant improvement in the computational speed. The results are compared with those published previously to validate our method, and the computational efficiency is discussed. The full three-dimensional dispersion curves are plotted. The dispersion characteristics of propagating and evanescent waves are investigated in various rectangular bars. The influences of different width-to-thickness ratios on the dispersion curves of four types of low-order modes for a rectangular bar of an orthotropic composite are illustrated.

A comparative convergence and accuracy study of composite guided-ultrasonic wave solution methods: Comparing the unified analytic method, SAFE method and DISPERSE

2017 ◽  
Vol 231 (16) ◽  
pp. 2961-2973 ◽  
Author(s):  
Darun Barazanchy ◽  
Victor Giurgiutiu
Keyword(s):  
Ultrasonic Wave ◽  
Single Layer ◽  
Wave Dispersion ◽  
Dispersion Curves ◽  
Guided Wave ◽  
Ultrasonic Guided Wave ◽  
Solution Methods ◽  
Accuracy Study ◽  
End Use ◽  
The Right

Multiple approaches and programs are available to the public to predict ultrasonic guided-wave propagation dispersion curves in a material. Each approach and program will have its own advantage and disadvantage making it suitable for a specific end use and less suitable for others. This manuscript aims to compare three different guided-ultrasonic wave dispersion curves retrieval methods for multiple cases. First a single layer of isotropic, unidirectional, orthotropic and monoclinic material is examined, followed by a multi-layer case (consisting of 10 layers of the aforementioned materials) and finally four different laminates and one sandwich laminate are evaluated. The goal of this manuscript is to give a concise overview of the advantages and limitations of each approach to assist the end user in choosing the right program to use.

Inverse Identification of Elastic Constants of Orthotropic Plates Using the Dispersion of Guided Waves and Artical Neural Network

2012 ◽  
Vol 163 ◽  
pp. 151-154
Author(s):  
Xiao Ming Zhang ◽  
Yu Qing Wang ◽  
Jun Cai Ding
Keyword(s):  
Neural Network ◽  
Elastic Constants ◽  
Orthotropic Plate ◽  
Guided Waves ◽  
Wave Dispersion ◽  
Guided Wave ◽  
Polynomial Method ◽  
Ann Model ◽  
Orthotropic Plates ◽  
Group Velocities

Using guided wave dispersion characteristics, a procedure based on articial neural network (ANN) is presented to inversely determine the elastic constants of orthotropic plate. The Legendre polynomial method is employed as the forward solver to calculate the dispersion curves of SH wave for orthotropic plates. The group velocities of lowest modes at five lower frequencies are used as the inputs for the ANN model. The outputs of the ANN are the elastic constants of orthotropic plates. This procedure is examined for an actual orthotropic plate. The results indicate that the identified elastic constants are sufficiently close to the original one. The developed inverse procedure is concluded to be robust and efficient.

Learning Guided Wave Dispersion Curves from Multi-Path Reflections with Compressive Sensing

2019 ◽  
Author(s):  
JOEL B. HARLEY ◽  
K. SUPREET ALGURI ◽  
HARSHA VARDHAN TETALI ◽  
SOROOSH SABETI
Keyword(s):  
Compressive Sensing ◽  
Wave Dispersion ◽  
Dispersion Curves ◽  
Guided Wave

scholarly journals Fully Noncontact Wave Propagation Imaging in an Immersed Metallic Plate with a Crack

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jung-Ryul Lee ◽  
Jae-Kyeong Jang ◽  
Cheol-Won Kong
Keyword(s):  
Wave Propagation ◽  
Lamb Wave ◽  
Continuous Wave ◽  
Imaging System ◽  
Lamb Waves ◽  
Laser Doppler Vibrometer ◽  
Wave Dispersion ◽  
Wave Mode ◽  
Dispersion Curves ◽  
Guided Wave

This study presents a noncontact sensing technique with ultrasonic wave propagation imaging algorithm, for damage visualization of liquid-immersed structures. An aluminum plate specimen (400 mm × 400 mm × 3 mm) with a 12 mm slit was immersed in water and in glycerin. A 532 nm Q-switched continuous wave laser is used at an energy level of 1.2 mJ to scan an area of 100 mm × 100 mm. A laser Doppler vibrometer is used as a noncontact ultrasonic sensor, which measures guided wave displacement at a fixed point. The tests are performed with two different cases of specimen: without water and filled with water and with glycerin. Lamb wave dispersion curves for the respective cases are calculated, to investigate the velocity-frequency relationship of each wave mode. Experimental propagation velocities of Lamb waves for different cases are compared with the theoretical dispersion curves. This study shows that the dispersion and attenuation of the Lamb wave is affected by the surrounding liquid, and the comparative experimental results are presented to verify it. In addition, it is demonstrated that the developed fully noncontact ultrasonic propagation imaging system is capable of damage sizing in submerged structures.

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