The End Problem for a Laminated Elastic Strip —

Abstract

A plane elasticity solution is derived for the end problem in a two- layer laminated strip. The laminae may have arbitrary elastic constants and an arbitrary thickness ratio. The solution is obtained as a series of non-orthogonal eigenfunctions, each of which varies exponentially along the axis of the strip. Each exponential coefficient is a complex root of an eigenvalue equation that results from the requirement of compatible displacements at the interface. The general solution obtained in this paper may be used to find the stress field in a two-layer laminated strip subjected to specified self- equilibrating end loading. It thus permits the determination of the stress concentration near the end which is usually neglected by invok ing St. Venant's Principle.