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Open AccessArticle

Nondestructive Evaluation of Solids Based on Deformation Wave Theory

1
Department of Chemistry and Physics, Southeastern Louisiana University, Hammond, LA 70402, USA
2
Department of Mechanical Engineering, Niigata University, Niigata 9502181, Japan
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(16), 5524; https://doi.org/10.3390/app10165524
Received: 19 May 2020 / Revised: 16 July 2020 / Accepted: 1 August 2020 / Published: 10 August 2020
(This article belongs to the Special Issue Nondestructive Testing (NDT): Volume II)
The application of a recent field theory of deformation and fracture to nondestructive testing (NDT) is discussed. Based on the principle known as the symmetry of physical laws, the present field theory formulates all stages of deformation including the fracturing stage on the same theoretical basis. The formalism derives wave equations that govern the spatiotemporal characteristics of the differential displacement field of solids under deformation. The evolution from the elastic to the plastic stage of deformation is characterized by a transition from longitudinal (compression) wave to decaying longitudinal/transverse wave characteristics. The evolution from the plastic to the fracturing stage is characterized by transition from continuous wave to solitary wave characteristics. Further, the evolution from the pre-fracturing to the final fracturing stage is characterized by transition from the traveling solitary wave to stationary solitary wave characteristics. In accordance with these transitions, the criterion for deformation stage is defined as specific spatiotemporal characteristics of the differential displacement field. The optical interferometric technique, known as Electronic Speckle-Pattern Interferometry (ESPI), is discussed as an experimental tool to visualize those wave characteristics and the associated deformation-stage criteria. The wave equations are numerically solved for the elastoplastic stages, and the resultant spatiotemporal behavior of the differential displacement field is compared with the experimental results obtained by ESPI. Agreement between the experimental and numerical results validates the present methodology at least for the elastoplastic stages. The solitary wave characteristics in the fracturing stages is discussed based on the experimental results and dislocation theory. View Full-Text
Keywords: nondestructive evaluation; comprehensive description of deformation and fracture; electronic speckle-pattern interferometry; field theory of deformation and fracture nondestructive evaluation; comprehensive description of deformation and fracture; electronic speckle-pattern interferometry; field theory of deformation and fracture
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MDPI and ACS Style

Yoshida, S.; McGibboney, C.; Sasaki, T. Nondestructive Evaluation of Solids Based on Deformation Wave Theory. Appl. Sci. 2020, 10, 5524. https://doi.org/10.3390/app10165524

AMA Style

Yoshida S, McGibboney C, Sasaki T. Nondestructive Evaluation of Solids Based on Deformation Wave Theory. Applied Sciences. 2020; 10(16):5524. https://doi.org/10.3390/app10165524

Chicago/Turabian Style

Yoshida, Sanichiro; McGibboney, Conor; Sasaki, Tomohiro. 2020. "Nondestructive Evaluation of Solids Based on Deformation Wave Theory" Appl. Sci. 10, no. 16: 5524. https://doi.org/10.3390/app10165524

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