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The Potential Scope of the Ultrasonic Surface Reflection Method Towards Mechanical Characterisation of Isotropic Materials. Part 1. A Theoretical Analysis

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Abstract

Background

This paper deals with the possible field of application of ultrasonic Surface Reflection Method (SRM) to achieve the mechanical characteristics of isotropic materials. This method is based on the measurement of the amplitude of the reflected wave at the interface between reference material and the material to be characterised. Objective: The purpose of Part 1 of this paper is to establish the theoretical conditions for the applicability of SRM.

Methods

First, the theoretical formulas necessary to obtain the mechanical properties of the material to be tested will be established. Then, on the basis of these analytical formulas, the validity of the results for the material to be studied will be discussed according to the choice of the mechanical properties of the reference material through uncertainty calculations. The measurand error of SRM is then compared to that of traditional methods (transmission, transmission in water bath, pulse-echo).

Results

The analytical solution to the inverse problem (the mechanical characteristics of the tested medium based on those of the reference medium and the waves’ amplitude) will be given. From this analytical solution, an analysis of the measurand error will be performed and a method for choosing the reference material will be proposed.

Conclusions

It appears that SRM is better suited than traditional methods in two specific cases: measurement of small deviations of mechanical properties from a reference material or characterisation of high damping materials. In Part 2 of this paper, the practical conditions of applicability of the method are described and then applied to different kinds of materials.

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Acknowledgment

The authors wish to thank: Pascale Lenig-Santoro for providing language help, Demathieu et Bard industry for their financial support, the National Center for Scientific Research (CNRS) and the Robert Schuman Institute of Technology, part of the University of Strasbourg, for their financial support.

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Authors and Affiliations

  1. UMR 7357, ICube, Université de Strasbourg, CNRS, 300 bd Sébastien Brant - CS, 10413 - F-67412, ILLKIRCH Cedex, France

    V. Tinard, P. François & C. Fond

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  1. V. Tinard
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  2. P. François
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  3. C. Fond
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Violaine Tinard, Pierre François and Christophe Fond. The first draft of the manuscript was written by Violaine Tinard and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to V. Tinard.

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Tinard, V., François, P. & Fond, C. The Potential Scope of the Ultrasonic Surface Reflection Method Towards Mechanical Characterisation of Isotropic Materials. Part 1. A Theoretical Analysis. Exp Mech 61, 1153–1160 (2021). https://doi.org/10.1007/s11340-021-00730-9

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