Affiliation:
1. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8
Abstract
A simple non-local modified beam model is presented to evaluate interfacial thermal stresses in bimaterial elastic beams. The model has its root in an earlier model (Suhir 1986) which assumes that the longitudinal interfacial displacement at a point depends on the interfacial shear stress at that point. Different than that earlier local model, however, the present non-local model assumes that the longitudinal interfacial displacement at a point also depends on the second gradient of the interfacial shear stress at that point. The present model satisfies both the zero-longitudinal force and the zero-shear stress boundary conditions at the free edges, and the interfacial peeling stress given by the present model is self-equilibrated. Remarkably, the present model leads to a fourth-order differential equation for the interfacial shear stress, and is considerably simpler than other known modified beam models satisfying the abovementioned conditions. This desirable feature of the present model is believed to be significant especially when the model is applied to multilayered materials. In particular, the interfacial shear stress given by the present model is found to be in reasonably good agreement with some known numerical results.
Subject
Electrical and Electronic Engineering,Computer Science Applications,Mechanics of Materials,Electronic, Optical and Magnetic Materials
Cited by
47 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献