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- Taeho Ju
- Department of Mechanical Engineering, Tufts University 1 , Medford, Massachusetts 02155, USA
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- Jan D. Achenbach
- Department of Mechanical Engineering, Northwestern University 2 , Evanston, Illinois 60208, USA
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- Laurence J. Jacobs
- College of Engineering, Georgia Institute of Technology 3 , Atlanta, Georgia 30332, USA
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- Jianmin Qu
- Department of Mechanical Engineering, Tufts University 1 , Medford, Massachusetts 02155, USA
説明
<jats:p>This paper studies the one-way collinear mixing of a pair of longitudinal and shear waves in an adhesive layer. The objective is to establish a theoretical framework for developing ultrasonic methods for nondestructively characterizing adhesive bonds by using only one side of the adhesive joint. The adhesive joint is modeled as a nonlinear elastic layer embedded in a linear elastic matrix of infinite extent. First, a solution is developed for the general case where the elastic impedance of the layer is different from that of the surrounding matrix. Then, a nonlinear spring model is developed that yields a reduced order solution for the one-way collinear wave mixing problem at hand. It is shown that in the limit of vanishing layer thickness, the solution to a layer of finite thickness reduces to that of the spring model, provided that a proper relationship is used between the properties of the nonlinear layer and the nonlinear spring. In other words, a very thin layer can be effectively replaced by a nonlinear spring. Finally, numerical analyses show that such effective replacement is valid when the layer thickness is less than a few percent of the shortest wavelength used in the measurement.</jats:p>
収録刊行物
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- The Journal of the Acoustical Society of America
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The Journal of the Acoustical Society of America 145 (1), 110-120, 2019-01-01
Acoustical Society of America (ASA)