Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis

Abstract: The formulation and analytic solution of a new mathematical model with constitutive curvature for analysis of tunnel ventilation shaft wall is proposed. Based on the Mindlin–Reissner theory for thick shells, this model also takes into account the shell constitutive curvature and considers...

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Main Authors: Alvarez Pérez, José, Peña, Fernando
Format: Article
Language:English
Published: Molecular Diversity Preservation International 2021
Subjects:
Online Access:http://eprints.uanl.mx/23271/1/23271.pdf
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author Alvarez Pérez, José
Peña, Fernando
author_facet Alvarez Pérez, José
Peña, Fernando
author_sort Alvarez Pérez, José
collection Repositorio Institucional
description Abstract: The formulation and analytic solution of a new mathematical model with constitutive curvature for analysis of tunnel ventilation shaft wall is proposed. Based on the Mindlin–Reissner theory for thick shells, this model also takes into account the shell constitutive curvature and considers an expression of the shear correction factor variable (αn) in terms of the thickness (h) and the radius of curvature (R). The main advantage of the proposed model is that it has the possibility to analyze thin, medium and thick tunnel ventilation shafts. As a result, two comparisons were made: the first one, between the new model and the Mindlin–Reissner model without constitutive curvature with the shear correction factor αn = 5/6 as a constant, and the other, between the new model and the tridimensional numerical models (solids and shells) obtained by finite element method for different slenderness ratios (h/R). The limitation of the proposed model is that it is to be formulated for a general linear-elastic and axial-symmetrical state with continuous distribution of the mass.
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spelling eprints-232712024-03-05T20:35:51Z http://eprints.uanl.mx/23271/ Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis Alvarez Pérez, José Peña, Fernando TA Ingeniería General y Civil Abstract: The formulation and analytic solution of a new mathematical model with constitutive curvature for analysis of tunnel ventilation shaft wall is proposed. Based on the Mindlin–Reissner theory for thick shells, this model also takes into account the shell constitutive curvature and considers an expression of the shear correction factor variable (αn) in terms of the thickness (h) and the radius of curvature (R). The main advantage of the proposed model is that it has the possibility to analyze thin, medium and thick tunnel ventilation shafts. As a result, two comparisons were made: the first one, between the new model and the Mindlin–Reissner model without constitutive curvature with the shear correction factor αn = 5/6 as a constant, and the other, between the new model and the tridimensional numerical models (solids and shells) obtained by finite element method for different slenderness ratios (h/R). The limitation of the proposed model is that it is to be formulated for a general linear-elastic and axial-symmetrical state with continuous distribution of the mass. Molecular Diversity Preservation International 2021 Article PeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/23271/1/23271.pdf http://eprints.uanl.mx/23271/1.haspreviewThumbnailVersion/23271.pdf Alvarez Pérez, José y Peña, Fernando (2021) Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis. Mathematics, 9. p. 1096. ISSN 2227-7390 http://doi.org/10.3390/math9101096 doi:10.3390/math9101096
spellingShingle TA Ingeniería General y Civil
Alvarez Pérez, José
Peña, Fernando
Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis
thumbnail https://rediab.uanl.mx/themes/sandal5/images/online.png
title Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis
title_full Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis
title_fullStr Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis
title_full_unstemmed Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis
title_short Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis
title_sort mindlin reissner analytical model with curvature for tunnel ventilation shafts analysis
topic TA Ingeniería General y Civil
url http://eprints.uanl.mx/23271/1/23271.pdf
work_keys_str_mv AT alvarezperezjose mindlinreissneranalyticalmodelwithcurvaturefortunnelventilationshaftsanalysis
AT penafernando mindlinreissneranalyticalmodelwithcurvaturefortunnelventilationshaftsanalysis