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Mechanical Engineering

Department of Engineering Mechanics: Faculty Publications

Riemann–Hilbert problem

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Full-Text Articles in Engineering

Two Semi-Infinite Interfacial Cracks Between Two Bonded Dissimilar Elastic Strips, Xiangfa Wu, Yuris A. Dzenis, Tian-You Fan Sep 2003

Two Semi-Infinite Interfacial Cracks Between Two Bonded Dissimilar Elastic Strips, Xiangfa Wu, Yuris A. Dzenis, Tian-You Fan

Department of Engineering Mechanics: Faculty Publications

The complex stress intensity factor and energy release rate are obtained for two semi-infinite interfacial cracks between two bonded dissimilar elastic strips with equal thickness under inplane deformations. During the procedure, by means of conformal mapping technique, the mixed boundary-value problem is reduced to a standard Riemann–Hilbert problem, which is further solved in closed-form. In some limiting cases, the present explicit solutions can cover the well-known results in the literature.


A Semi-Infinite Interfacial Crack Between Two Bonded Dissimilar Elastic Strips, Xiang-Fa Wu, E. Lilla, W.-S. Zou Nov 2002

A Semi-Infinite Interfacial Crack Between Two Bonded Dissimilar Elastic Strips, Xiang-Fa Wu, E. Lilla, W.-S. Zou

Department of Engineering Mechanics: Faculty Publications

This paper is concerned with a semi-infinite interfacial crack between two bonded dissimilar elastic strips with equal thickness. Solutions for the complex stress intensity factor (SIF) and energy release rate (ERR) are obtained in closed form under in-plane deformations. During the procedure, the mixed boundary-value problem is reduced by means of the conformal mapping technique to the standard Riemann–Hilbert problem. In some limiting cases, the present solutions can cover the results found in literature.