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A new approach to determine tensile stress states from the parameters of longitudinal waves
Affiliation:1. School of Astronautics, Beihang University, Beijing 100083, China;2. Beijing Advanced Innovation Center for Big Date-based Precision Medicine, Beihang University, Beijing 100083, China;1. Department of Chemical and Materials Engineering, School of Engineering and Digital Sciences, Nazarbayev University, Nur-Sultan, Kazakhstan;2. Department of Heat Power Setups, Faculty of Energy and Electrical Engineering, Chuvash State University, Cheboksary, Russian Federation;3. Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Nur-Sultan, Kazakhstan;1. Department of Electrical Engineering, International Islamic University, Islamabad, Pakistan;2. Department of Electrical and Computer Engineering, COMSATS University Islamabad, Attock Campus, Attock, Pakistan;3. Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan, R.O.C.;4. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Porto, Portugal;1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, China;2. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
Abstract:In this paper, an experiment is proposed to select longitudinal ultrasonic waves as the physical agent in the detection of tensile stress states. The delay time in the back-wall echo travel presents a relation with the strain usually considered in tensile tests. From an algebraic manipulation procedure, this time interval is the fundamental quantity in the proposed method. The theoretical development initiates from the sound velocity in the unstressed state and employs a perturbative method to quantify the changes in the time-of-flight due to both the dimension modifications and the acoustoelastic effect. In addition to Armco iron and rail steel, this study applies its mathematical model to metal-matrix composites of aluminium and SiC particles at different temperatures. The scheme requires one transducer to perform the corresponding measurements to evaluate if a metallic material is under tensile stress.
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