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Acoustoelastic Coefficients in Thick Steel Plates under Normal and Shear Stresses

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Abstract

Ultrasonic monitoring of the integrity of structural materials utilizes the acoustoelasticity of materials (stress-dependence of ultrasonic wave velocity) obtained from the higher order strain terms in the constitutive equations. This method has been applied to measure residual and applied stresses in thin metals under principal stresses without shear. Here, acoustoelastic coefficients are determined in thick steel plates in normal, orthogonal, and angled directions by means of an array of ultrasonic sensors. A three-dimensional material model is developed which includes Murnaghan hyper-elasticity and can determine the effects of plate thickness and excitation frequency on the acoustoelastic coefficients. This model is experimentally validated by tensile loading of a thick steel plate by measuring the ultrasonic signals in three directions. Numerical and experimental results agree within the measurement uncertainties of each method. The 1.0 MHz ultrasonic frequency has the highest resolution for measuring normal and shear stresses in structural plates typically used in highway bridges.

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Acknowledgments

This investigation was supported by National Science Foundation Award No. 133552. The support from the sponsor is gratefully acknowledged. We acknowledge Dr. Daniel P. Bailey for detailed copy editing and discussion of the manuscript. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the organization acknowledged above.

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  1. Civil and Materials Engineering, University of Illinois at Chicago, 842 W Taylor Street ERF 2095, Chicago, IL, 60607, USA

    Z. Abbasi & D. Ozevin

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  1. Z. Abbasi
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Correspondence to D. Ozevin.

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Abbasi, Z., Ozevin, D. Acoustoelastic Coefficients in Thick Steel Plates under Normal and Shear Stresses. Exp Mech 56, 1559–1575 (2016). https://doi.org/10.1007/s11340-016-0186-6

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  • DOI: https://doi.org/10.1007/s11340-016-0186-6

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