Equilibrated divergence measure stress tensor fields for heavy masonry bodies |
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Authors: | Massimiliano Lucchesi Miroslav Šilhavý Nicola Zani |
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Institution: | 1. Department of Mechanical Engineering, The University of Michigan, 1231 Beal Ave, Ann Arbor, MI 48109, USA;2. Powertrain Systems Engineering, Robert Bosch LLC, 38000 Hills Tech Dr, Farmington Hills, MI 48331, USA |
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Abstract: | In this paper we study the equilibrium problem of rectangular panels made of no-tension material under gravity and undergoing a vertical load distributed on their top and a horizontal load distributed on a lateral side. Equilibrated and negative semi-definite stress fields are presented which are tensor-valued measure whose distributional divergence is a vector-valued measure. Then, for a fixed vertical load, the maximum value of the lateral load which is compatible with the equilibrium of the panel is determined. |
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