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Fluid diffusion related aging effect in a concrete dam modeled as a Timoshenko beam

Angelo Scrofani, Emilio Barchiesi, Bernardino Chiaia, Anil Misra and Luca Placidi
Vol. 11 (2023), No. 2, 313–334
DOI: 10.2140/memocs.2023.11.313
Abstract

Aging related damage within a concrete dam is often associated with the diffusion of certain particles which then activate internal chemical action. In this paper, a hemivariational method for a nonhomogeneous and damaged Timoshenko beam model is proposed in order to describe damage and deformation in a dam caused by the diffusion of an aging fluid.

The proposed model is used to perform a suite of parametric studies. In these studies, the dam is subjected not only to the concentrated and distributed external forces and couples (dual of displacement and rotation of the section, respectively) but also to the dual of the concentration of the aging fluid, called external distributed aging fluid influx pressure, that drives the incoming flow of the aging fluid which is, for this purpose, coupled with the damage evolution. The results are utilized to predict the life time of the dam. The life of big structures is a crucial point in civil engineering because it is linked with the safeguarding of human life.

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Keywords
diffusion, dam, variational method, Karush–Kuhn–Tucker conditions, damage, aging
Mathematical Subject Classification
Primary: 74-XX
Milestones
Received: 16 November 2022
Revised: 19 December 2022
Accepted: 10 January 2023
Published: 12 November 2023

Communicated by Francesco dell'Isola
Authors
Angelo Scrofani
Dipartimento di Ingegneria e Scienze dell’Informazione Matematica
Università degli Studi dell’Aquila
L’Aquila
Italy
Emilio Barchiesi
Dipartimento di Architettura
Università degli Studi di Sassari
Alghero
Italy
Bernardino Chiaia
Dipartimento di Ingegneria Strutturale, Edile e Geotecnica
Politecnico di Torino
Torino
Italy
Anil Misra
Civil, Environmental and Architectural Engineering Department
University of Kansas
Lawrence, KS
United States
Luca Placidi
Engineering Faculty
International Telematic University Uninettuno
Roma
Italy
© 2023 MSP (Mathematical Sciences Publishers).