Nonlinear evaluation of reliability-based topology optimization of concrete deep beams

Abstract Uncertainty has long been a recognized aspect of engineering analysis and design. This inherent unpredictability is typically represented by variability and randomness. In this context, a linear elastic topology optimization (TO) approach with reliability constraints is presented. This met...

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Main Authors: Rodrigo Reis Amaral, Jorge Luis Palomino Tamayo, Liércio André Isoldi, Herbert Martins Gomes
Format: Article
Language:English
Published: Instituto Brasileiro do Concreto (IBRACON) 2025-05-01
Series:Revista IBRACON de Estruturas e Materiais
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952025000300204&lng=en&tlng=en
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author Rodrigo Reis Amaral
Jorge Luis Palomino Tamayo
Liércio André Isoldi
Herbert Martins Gomes
author_facet Rodrigo Reis Amaral
Jorge Luis Palomino Tamayo
Liércio André Isoldi
Herbert Martins Gomes
author_sort Rodrigo Reis Amaral
collection DOAJ
description Abstract Uncertainty has long been a recognized aspect of engineering analysis and design. This inherent unpredictability is typically represented by variability and randomness. In this context, a linear elastic topology optimization (TO) approach with reliability constraints is presented. This method uses an outer loop for the optimization and an inner loop for the reliability analysis. The TO procedure based on the Bidirectional Evolutionary Structural Optimization (BESO) was developed to minimize the structure’s concrete compliance and, consequently, reduce the weight for a given reliability index constraint. Failure criterion, such as Ottosen's four-parameter surface is used to check the stress level in the computational domain. Moreover, a nonlinear finite element analysis for the resulting structure is developed in commercial software. The scope here is to conduct a comparative analysis between a reference deep beam from the literature and the optimized topologies to determine the ultimate strength capacity and assess how material reduction affects the failure mode and ultimate load. Results demonstrate resource-efficient and reliable designs with similar structural performance when compared to traditional concrete structures.
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institution Kabale University
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language English
publishDate 2025-05-01
publisher Instituto Brasileiro do Concreto (IBRACON)
record_format Article
series Revista IBRACON de Estruturas e Materiais
spelling doaj-art-9f3ae7bedc5e420f86b1a6f04d7c17c32025-08-20T03:48:23ZengInstituto Brasileiro do Concreto (IBRACON)Revista IBRACON de Estruturas e Materiais1983-41952025-05-0118310.1590/s1983-41952025000300002Nonlinear evaluation of reliability-based topology optimization of concrete deep beamsRodrigo Reis Amaralhttps://orcid.org/0000-0001-9035-5806Jorge Luis Palomino Tamayohttps://orcid.org/0000-0002-6301-7008Liércio André Isoldihttps://orcid.org/0000-0002-9337-3169Herbert Martins Gomeshttps://orcid.org/0000-0001-5635-1852 Abstract Uncertainty has long been a recognized aspect of engineering analysis and design. This inherent unpredictability is typically represented by variability and randomness. In this context, a linear elastic topology optimization (TO) approach with reliability constraints is presented. This method uses an outer loop for the optimization and an inner loop for the reliability analysis. The TO procedure based on the Bidirectional Evolutionary Structural Optimization (BESO) was developed to minimize the structure’s concrete compliance and, consequently, reduce the weight for a given reliability index constraint. Failure criterion, such as Ottosen's four-parameter surface is used to check the stress level in the computational domain. Moreover, a nonlinear finite element analysis for the resulting structure is developed in commercial software. The scope here is to conduct a comparative analysis between a reference deep beam from the literature and the optimized topologies to determine the ultimate strength capacity and assess how material reduction affects the failure mode and ultimate load. Results demonstrate resource-efficient and reliable designs with similar structural performance when compared to traditional concrete structures.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952025000300204&lng=en&tlng=enFORMUHPFRCnonlinear analysisRBDOReliability Index Approach
spellingShingle Rodrigo Reis Amaral
Jorge Luis Palomino Tamayo
Liércio André Isoldi
Herbert Martins Gomes
Nonlinear evaluation of reliability-based topology optimization of concrete deep beams
Revista IBRACON de Estruturas e Materiais
FORM
UHPFRC
nonlinear analysis
RBDO
Reliability Index Approach
title Nonlinear evaluation of reliability-based topology optimization of concrete deep beams
title_full Nonlinear evaluation of reliability-based topology optimization of concrete deep beams
title_fullStr Nonlinear evaluation of reliability-based topology optimization of concrete deep beams
title_full_unstemmed Nonlinear evaluation of reliability-based topology optimization of concrete deep beams
title_short Nonlinear evaluation of reliability-based topology optimization of concrete deep beams
title_sort nonlinear evaluation of reliability based topology optimization of concrete deep beams
topic FORM
UHPFRC
nonlinear analysis
RBDO
Reliability Index Approach
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952025000300204&lng=en&tlng=en
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AT liercioandreisoldi nonlinearevaluationofreliabilitybasedtopologyoptimizationofconcretedeepbeams
AT herbertmartinsgomes nonlinearevaluationofreliabilitybasedtopologyoptimizationofconcretedeepbeams