Static and Dynamic Interfacial Stresses Analysis for Three-Layer Beam Structures Using Spectral Element Method

Abstract

As the structural integrity at the interfaces of a three-layer structure certainly depends on the shear and normal (peeling) stress concentrations near the free ends of the cover plate, it is very important to predict the static and dynamic interfacial stresses in an accurate and efficient way for successful designs of three-layer beam-type structures subject to various loading conditions. Thus, this paper presents a frequency-domain spectral element method by which both static and dynamic interfacial stresses can be accurately predicted. To that end, the governing equations of motion for three-layer beam-type structures are derived by using Hamilton's principle and then the spectral element model is formulated in the frequency domain by using the variational method. The high accuracy of the present spectral element model is verified in due course. Numerical studies are then conducted to investigate static and dynamic interfacial stresses for an example three-layer beam subjected to various loadings.