No-tension bodies: A reinforcement problem

In this work we show that the framework put forward by Lucchesi et al. (2006) to study the equilibrium configurations of panels made of no-tension material can be easily extended to the case of a no-tension material with a reinforcing tensile resistant unidimensional material. This kind of bodies co...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2013-05, Vol.39, p.163-169
Main Authors: De Faveri, Sara, Freddi, Lorenzo, Paroni, Roberto
Format: Article
Language:English
Subjects:
Beams (structural)
Concentrates
Equilibrated tensor fields
Equilibrium equations
No-tension materials
Panels
Reinforced concrete
Reinforced concrete beams
Reinforcement
Singular stresses
Stresses
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Summary:In this work we show that the framework put forward by Lucchesi et al. (2006) to study the equilibrium configurations of panels made of no-tension material can be easily extended to the case of a no-tension material with a reinforcing tensile resistant unidimensional material. This kind of bodies could be used to describe reinforced concrete structures. By solving the equilibrium equations we find a family of solutions each of which is characterized by a singular curve where the stress in the no-tension material concentrates. We show that among these, the curve that minimizes the maximum stress resembles the line tension found experimentally on reinforced concrete beams. ► We analyse the equilibrium problem for a panel made of reinforced no-tension material. ► We interpret the equilibrated tensor fields as measures whose divergence is a measure. ► We find a family of singular curves where the stress concentrates. ► We compute the curve that minimizes the maximum stress. ► We recover the line tension found experimentally on reinforced concrete beams.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2012.11.006