Bimaterial infinite plane with a cavity on the interface subjected to different temperatures

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• 作者：Norio Hasebe ; Masanori Nakashima
• 关键词：Dissimilar infinite planes ; Bimaterial infinite planes ; Interface cavity ; Bonded materials ; Elliptical hole ; Debonding extension ; Temperature ; Dundurs’ parameter ; Complex variable method ; Mapping function
• 刊名：Archive of Applied Mechanics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：87
• 期：2
• 页码：245-260
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics; Classical Mechanics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0681
• 卷排序：87

文摘

Stress analysis is applied to two bonded materials of infinite extent with a single notch at their interface. The two materials, represented in normal view as two joined half planes with a notch, are subjected to different temperatures. As illustration, a bimaterial infinite plane with an elliptical hole at the interface is analyzed. To achieve a closed-form solution, a rational mapping function and a complex variable method are used. By changing the mapping function, other geometries for the notch can be analyzed. The cavity at the interface constitutes a small defect because its extent is small compared with the infinite plane. A mathematical difficulty arises with the presence of the points at infinity of the half planes. The coefficients of the homogeneous part of the stress function are expressible in terms of Dundurs’ parameters, but the temperature-dependent loading term is not. Stress distributions without and with debonding for two pairings of bimaterial are shown. The stress intensity of debonding is defined, and values are investigated for various debonding lengths for the elliptical holes. Also the debonding extension is investigated. As a special case, the stress intensity factors for T-shaped cracks are also investigated.