Vol. 3, No. 5, 2008

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ISSN: 1559-3959
Application of a lumped dissipation model to reinforced concrete structures with the consideration of residual strains and cycles of hysteresis

Francisco Adriano de Araújo and Sergio Persival Baroncini Proença

Vol. 3 (2008), No. 5, 1011–1031
Abstract

The nonlinear analysis model for reinforced concrete plane frame structures is based on the simplified concept of the localization of irreversible physical processes at previously definite zones, denominated here as generalized hinges. However, when both damage due to the microcracking of concrete and sliding mechanisms (aggregate interlocking) at crack surfaces are taken into consideration, hysteresis loops can be reproduced if the loading history includes unloading cycles. The thermodynamic approach of the model is herein developed with reference to generalized variables due to its application in the framework of the classical theory of bars under bending load. According to this model, there are three scalar variables: a damage variable, the plastic rotation of the section and the sliding-associated rotation of the section. By comparison with available experimental responses, the numerical examples illustrate the good performance of the model.

Keywords
damage mechanics, plastic hinge, hysteresis
Milestones
Received: 19 January 2007
Accepted: 30 November 2007
Published: 1 July 2008
Authors
Francisco Adriano de Araújo
Escola de Engenharia de São Carlos
Departamento de Engenharia de Estruturas
Av. Trabalhador São-carlense, 400
13566-590 São Carlos SP
Brazil
Sergio Persival Baroncini Proença
Escola de Engenharia de São Carlos
Departamento de Engenharia de Estruturas
Av. Trabalhador São-carlense, 400
13566-590 São Carlos SP
Brazil
http://www.set.eesc.usp.br/public/pessoas/professor.php?id=23