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

• Published in: Experimental mechanics Vol. 61; no. 7; pp. 1153 - 1160
• Main Authors: Tinard, V., François, P., Fond, C.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-09-2021; Springer Nature B.V; Society for Experimental Mechanics
• Subjects: Amplitudes; Biomedical Engineering and Bioengineering; Characterization and Evaluation of Materials; Control; Damping; Dynamical Systems; Engineering; Environmental Engineering; Environmental Sciences; Error analysis; Exact solutions; Inverse problems; Isotropic material; Lasers; Mathematical analysis; Mechanical properties; Optical Devices; Optics; Photonics; Reference materials; Reflected waves; Research Paper; Solid Mechanics; Vibration; Water baths; Viscoelasticity; Ultrasonic methods; Surface Reflection Method; Measurement error
• ISSN: 0014-4851; 1741-2765
• DOI: 10.1007/s11340-021-00730-9

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.