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Tu XL, Zhang J, Gambaruto AM, Wilcox PD. Finite element modelling strategy for determining directivity of thermoelastically generated laser ultrasound. Ultrasonics 2024; 138:107252. [PMID: 38277767 DOI: 10.1016/j.ultras.2024.107252] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2023] [Revised: 01/13/2024] [Accepted: 01/17/2024] [Indexed: 01/28/2024]
Abstract
Laser ultrasound (LU) is a contactless and couplant-free remote non-destructive (NDE) technique, which uses lasers for ultrasonic generation and detection rather than conventional piezoelectric transducers. For a transducer, an important characteristic is the directivity, the angle-dependent amplitude of the ultrasonic waves generated in the material. In the non-destructive thermoelastic regime, LU source has been widely modelled as a surface force dipole. However, the directivity of LU in more complex material, where there is an increasing demand for NDE, such as carbon fibre reinforced plastic (CFRP), is yet to be understood. In the current paper, a finite element (FE) modelling methodology to obtain the directivity of LU in complex material is presented. The method is applied to a conductive isotropic material (aluminium, Al) for validation against an existing analytical solution and then applied to a heterogeneous anisotropic material (carbon-fibre reinforced plastic, CFRP). To get the directivity of a specific wave mode, the signal for that mode needs to be resolved in time from other modes at all angles. This is challenging for shear (S) waves in a small model domain due to the head wave, so a technique for suppressing the head wave is shown. The multi-physics model solves for thermal expansion, which models the laser source as a surface heat flux for the Al case, and a buried heat source for the CFRP case, according to where the energy is deposited in the material. The same ultrasound generation pattern can be obtained by using a suitable pure elastodynamic loading, which is shown to be a surface force dipole as per the validation case for Al, and a buried quadrupole for the CFRP case. The modelled directivities are scaled and fitted to experimental measurements using maximum likelihood, and the goodness of fit is discussed. For the Al case, the S wave is preferred over the longitudinal (L) wave for inspection due to greater signal amplitude. For the CFRP case, the quasi-longitudinal (qL) wave in CFRP shows a maximum amplitude directly below the source, and has a greater amplitude than the quasi-shear (qS) wave, suggesting a better choice for inspection.
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Affiliation(s)
- Xin L Tu
- School of Electrical, Electronic and Mechanical Engineering, University of Bristol, Queen's Building, Bristol, BS8 1TR, UK.
| | - Jie Zhang
- School of Electrical, Electronic and Mechanical Engineering, University of Bristol, Queen's Building, Bristol, BS8 1TR, UK
| | - Alberto M Gambaruto
- School of Engineering Mathematics and Technology, Ada Lovelace Building, Bristol, BS8 1TW, UK
| | - Paul D Wilcox
- School of Electrical, Electronic and Mechanical Engineering, University of Bristol, Queen's Building, Bristol, BS8 1TR, UK
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Wang J, Zhang Y, Zhang Z, Xue C, Li B. Directivity of quasi-SH0 modes in cubic anisotropic media. Ultrasonics 2023; 134:107082. [PMID: 37379761 DOI: 10.1016/j.ultras.2023.107082] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/24/2022] [Revised: 03/16/2023] [Accepted: 06/09/2023] [Indexed: 06/30/2023]
Abstract
We studied the zeroth order shear horizontal modes (SH0 modes) and the quasi-SH0 modes in cubic-anisotropic plates and proposed a formula to describe the scattering directivity of these guided wave modes in arbitrary directions. The quasi-SH0 waves has many unique advantages. However, their velocity and amplitude are influenced by the material anisotropy and change with incidence orientation. In our finding, when the guided wave incidence orientation coincides with the material symmetry plane, the quasi-SH0 modes' amplitudes generated by a uniform force are approximately equal. Otherwise, the amplitudes are significantly smaller. The formula derived by reciprocity consideration explains this phenomenon. We applied the formula to monocrystalline silicon. The results also show that the quasi-SH0 mode is both velocity non-dispersive and directivity non-dispersive in low-fd (frequency thickness product) state. We established an experimental system based on EMATs and verified the theoretical predictions. This paper completes the theoretical basis for damage reconstruction and acoustic imaging by guided waves in complex structures with cubic anisotropy.
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Affiliation(s)
- Jiaqi Wang
- State Key Lab. for Manufacturing Systems Engineering, Xi'an Jiaotong University, No. 28, West Xianning Road, Xi'an, 710049, Shaanxi, China
| | - Yunfei Zhang
- State Key Lab. for Manufacturing Systems Engineering, Xi'an Jiaotong University, No. 28, West Xianning Road, Xi'an, 710049, Shaanxi, China
| | - Zhiyuan Zhang
- State Key Lab. for Manufacturing Systems Engineering, Xi'an Jiaotong University, No. 28, West Xianning Road, Xi'an, 710049, Shaanxi, China
| | - Chaolong Xue
- State Key Lab. for Manufacturing Systems Engineering, Xi'an Jiaotong University, No. 28, West Xianning Road, Xi'an, 710049, Shaanxi, China
| | - Bing Li
- State Key Lab. for Manufacturing Systems Engineering, Xi'an Jiaotong University, No. 28, West Xianning Road, Xi'an, 710049, Shaanxi, China.
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Pei N, Zhao B, Bond LJ, Xu C. Analysis of the directivity of longitudinal waves based on double-fold coil phased EMAT. Ultrasonics 2022; 125:106788. [PMID: 35709573 DOI: 10.1016/j.ultras.2022.106788] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/11/2021] [Revised: 06/03/2022] [Accepted: 06/04/2022] [Indexed: 06/15/2023]
Abstract
Longitudinal critically refracted (LCR) waves have already been widely applied for residual stress characterization. Such waves are usually generated using mode-conversion at the first critical angle of the incident longitudinal wave, which gives waves that then propagate at a dip-angle, and this places energy close to the surface of the specimen. The dip-angle needs to be minimized to improve both velocity measurement and residual stress characterization sensitivity. This paper reports a novel double-fold coil phased EMAT that can decrease the dip-angle. The performance of this new EMAT was investigated using both a COMSOL model and experiments. Initial model validation was provided through a comparison with experimental data. The EMAT design also enables scanning of samples, and operation in harsh environments where use of a PZT based transducer and couplants can complicate and limit inspection. The use of the EMAT has the potential to give more accurate time of flight (TOF) data and enhances the reliability and accuracy for residual stress measurement.
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Affiliation(s)
- Ning Pei
- School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China; Key Laboratory of Fundamental Science for Advanced Machining, Beijing Institute of Technology, Beijing 100081, China
| | - Bin Zhao
- Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
| | - Leonard J Bond
- Department of Aerospace Engineering & Center for Nondestructive Evaluation, Iowa State University, Ames, IA 50010, USA.
| | - Chunguang Xu
- School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China; Key Laboratory of Fundamental Science for Advanced Machining, Beijing Institute of Technology, Beijing 100081, China
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Pei N, Zhao B, Zhao X, Liu Z, Bond LJ. Analysis of the directivity of Longitudinal Critically Refracted (LCR) waves. Ultrasonics 2021; 113:106359. [PMID: 33540234 DOI: 10.1016/j.ultras.2021.106359] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/25/2020] [Revised: 12/22/2020] [Accepted: 01/09/2021] [Indexed: 06/12/2023]
Abstract
The use of ultrasonic longitudinal critically refracted (LCR) waves is one approach used for near surface material characterization. It has been shown to be sensitive to stress and, in general, less sensitive to the effects of the texture of the material. Although the LCR wave is increasingly widely applied, in experiments the factors that influence the formation of the LCR beam are seldom discussed. This paper reports a new numerical model used to investigate the transducers' parameters that can contribute to the directionality of the LCR wave and hence enable performance optimization when used for industrial applications. An orthogonal experimental method is used to study the sensitivity to the transducer parameters which influence the LCR wave beam characteristics. This method provides a design tool used to study and optimize multiple parameter experiments and it can identify which parameter or parameters are of most significance. The effects of incident angle, the aperture and the center frequency of the transducer were all studied. It is shown that the aperture of the transducer, the center frequency and the incident angle are the most important factors in controlling the directivity of the resulting LCR wave fields. The model was validated by comparision of data to those obtained with a finite element model. Experiments were also performed to confirm the numerical results. The model and experimental data provided improve understanding of the transducer selection and positioning in the optimization of LCR wave fields in experiments, which can be used to give signals which exhibit higher sensitivity for near-surface stress characterization.
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Affiliation(s)
- Ning Pei
- College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
| | - Bin Zhao
- College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
| | - Xin Zhao
- College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
| | - Zenghua Liu
- College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
| | - Leonard J Bond
- Department of Aerospace Engineering & Center for Nondestructive Evaluation, Iowa State University, Ames, IA 50010, USA.
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Mustafa AB, Rajendran T. An Effective Design of Wearable Antenna with Double Flexible Substrates and Defected Ground Structure for Healthcare Monitoring System. J Med Syst 2019; 43:186. [PMID: 31101989 DOI: 10.1007/s10916-019-1306-5] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2019] [Accepted: 04/22/2019] [Indexed: 10/26/2022]
Abstract
Due to the development of modern wearable mobile devices, the need of antenna with smaller size and internally flexible to fit becomes necessary. Miniaturization of Micro Strip Patch (MSP) antenna increases its employability for communication in different aspects. The use of flexible material for the fabrication of MSP antenna still improves its use for Wireless Body Area Networks (WBAN) which includes devices for monitoring systems in military, surveillance and medical applications. The devices designed specifically in Industrial Scientific Medical (ISM) band are used for communication in these applications. Defected Ground Structure (DGS) is adopted as an emerging technique for improving the various parameters of microwave circuits, that is, narrow bandwidth, cross-polarization, low gain, and so forth. In this paper, the design of compact micro strip patch antenna using different flexible substrate materials with DGS is proposed to resonate the antenna at 2.45GHz ISM band which can be used as biomedical sensors. Felt and Teflon with dielectric constant 1.36 and 2.1respectively are chosen as flexible substrate material among various flexible materials like cotton, rubber, paper, jeans etc. Using CST studio suite software, the designed antenna is simulated and the fabricated antenna is tested with Vector Network Analyzer (VNA). The performance parameters like return loss, gain, directivity and Voltage Standing Wave Ratio (VSWR) of the antenna are analyzed.
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Kolkoori S, Hoehne C, Prager J, Rethmeier M, Kreutzbruck M. Quantitative evaluation of ultrasonic C-scan image in acoustically homogeneous and layered anisotropic materials using three dimensional ray tracing method. Ultrasonics 2014; 54:551-562. [PMID: 24008174 DOI: 10.1016/j.ultras.2013.08.007] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/20/2013] [Revised: 08/09/2013] [Accepted: 08/10/2013] [Indexed: 06/02/2023]
Abstract
Quantitative evaluation of ultrasonic C-scan images in homogeneous and layered anisotropic austenitic materials is of general importance for understanding the influence of anisotropy on wave fields during ultrasonic non-destructive testing and evaluation of these materials. In this contribution, a three dimensional ray tracing method is presented for evaluating ultrasonic C-scan images quantitatively in general homogeneous and layered anisotropic austenitic materials. The directivity of the ultrasonic ray source in general homogeneous columnar grained anisotropic austenitic steel material (including layback orientation) is obtained in three dimensions based on Lamb's reciprocity theorem. As a prerequisite for ray tracing model, the problem of ultrasonic ray energy reflection and transmission coefficients at an interface between (a) isotropic base material and anisotropic austenitic weld material (including layback orientation), (b) two adjacent anisotropic weld metals and (c) anisotropic weld metal and isotropic base material is solved in three dimensions. The influence of columnar grain orientation and layback orientation on ultrasonic C-scan image is quantitatively analyzed in the context of ultrasonic testing of homogeneous and layered austenitic steel materials. The presented quantitative results provide valuable information during ultrasonic characterization of homogeneous and layered anisotropic austenitic steel materials.
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Affiliation(s)
- Sanjeevareddy Kolkoori
- Department of Non-Destructive Testing, Acoustical and Electromagnetic Methods Division, Federal Institute for Materials Research and Testing (BAM), Unter den Eichen 87, D-12205 Berlin, Germany.
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