Stress Concentration of a Microvoid Embedded in a Bilayered Material Considering the Boundary Effects
Publication: Journal of Engineering Mechanics
Volume 149, Issue 2
Abstract
This paper extends Eshelby’s problem of one inhomogeneity embedded in a homogeneous infinite domain to a bimaterial infinite domain. The equivalent inclusion method (EIM) was used to simulate the inhomogeneity of an inclusion with a polynomial eigenstrain. The fundamental solution of a point force in a bimaterial was used to formulate the domain integral over the inclusion. For a finite bimaterial domain, the boundary integral equation (BIE) takes into account the boundary responses by a single domain instead of utilizing the conventional multiregion BIE scheme. The EIM can be used similarly, and the elastic field can be obtained with tailorable accuracy based on the order of the polynomial eigenstrain. The algorithm is particularly suitable to simulate a defect in thin film–substrate systems or other similar bilayered materials. The stress concentration of a microvoid embedded in a bilayered solar panel was investigated. The size and location of the void relative to the interface exhibited considerable effects on the stress concentration factor. Numerical case studies demonstrated the effectiveness and accuracy of the algorithm, and parametric studies showed the boundary effects on the stress concentration of a microvoid in a finite bimaterial under a uniform far-field strain.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is sponsored by the National Science Foundation I*IP #1738802, IIP #1941244, and CMMI #1762891), the US Department of Agriculture (NIFA #2021-67021-34201), and the National Natural Science Foundation of China (Grant No. 12102458), whose support is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 149 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
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Received: May 27, 2022
Accepted: Oct 12, 2022
Published online: Dec 2, 2022
Published in print: Feb 1, 2023
Discussion open until: May 2, 2023
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