Abstract
The present paper deals with an enhanced beam model for semi-infinite prismatic solid in contact with a frictionless rigid support. To circumvent the solution of a plane elasticity problem, we propose an extension of the refined beam theory of Baluch et al. (1985) [6] which accounts for the contact interactions with a frictionless rigid foundation. We combine in a certain way two-dimensional elasticity (plane stress) and the classical engineering beam theory with the aim to derive a refined beam model which takes into account the influence of transverse normal strain as well as contact conditions. The results obtained with the proposed analytical model are compared against semi-analytical solutions for receding contact problems and against refined F.E. analyzes. It is shown that the proposed model provides accurate results and is an efficient tool to tackle problems involving semi-infinite beams in frictionless unilateral contact with a rigid foundation.
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