Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking
The paper presents a new analytical model to study the evolution of radial cracking around a corroding steel reinforcement bar embedded in concrete. The concrete cover for the corroding rebar is modelled as a thick-walled cylinder subject to axisymmetrical displacement constraint at the internal bou...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/769132 |
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| _version_ | 1832549535284461568 |
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| author | Hua-Peng Chen Nan Xiao |
| author_facet | Hua-Peng Chen Nan Xiao |
| author_sort | Hua-Peng Chen |
| collection | DOAJ |
| description | The paper presents a new analytical model to study the evolution of radial cracking around a corroding steel reinforcement bar embedded in concrete. The concrete cover for the corroding rebar is modelled as a thick-walled cylinder subject to axisymmetrical displacement constraint at the internal boundary generated by expansive corrosion products. A bilinear softening curve reflecting realistic concrete property, together with the crack band theory for concrete fracture, is applied to model the residual tensile stress in the cracked concrete. A governing equation for directly solving the crack width in cover concrete is established for the proposed analytical model. Closed-form solutions for crack width are then obtained at various stages during the evolution of cracking in cover concrete. The propagation of crack front with corrosion progress is studied, and the time to cracking on concrete cover surface is predicted. Mechanical parameters of the model including residual tensile strength, reduced tensile stiffness, and radial pressure at the bond interface are investigated during the evolution of cover concrete cracking. Finally, the analytical predictions are examined by comparing with the published experimental data, and mechanical parameters are analysed with the progress of reinforcement corrosion and through the concrete cover. |
| format | Article |
| id | doaj-art-b2b5680724614ab591b0566222698c45 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b2b5680724614ab591b0566222698c452025-02-03T06:11:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/769132769132Analytical Solutions for Corrosion-Induced Cohesive Concrete CrackingHua-Peng Chen0Nan Xiao1School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB, UKSchool of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB, UKThe paper presents a new analytical model to study the evolution of radial cracking around a corroding steel reinforcement bar embedded in concrete. The concrete cover for the corroding rebar is modelled as a thick-walled cylinder subject to axisymmetrical displacement constraint at the internal boundary generated by expansive corrosion products. A bilinear softening curve reflecting realistic concrete property, together with the crack band theory for concrete fracture, is applied to model the residual tensile stress in the cracked concrete. A governing equation for directly solving the crack width in cover concrete is established for the proposed analytical model. Closed-form solutions for crack width are then obtained at various stages during the evolution of cracking in cover concrete. The propagation of crack front with corrosion progress is studied, and the time to cracking on concrete cover surface is predicted. Mechanical parameters of the model including residual tensile strength, reduced tensile stiffness, and radial pressure at the bond interface are investigated during the evolution of cover concrete cracking. Finally, the analytical predictions are examined by comparing with the published experimental data, and mechanical parameters are analysed with the progress of reinforcement corrosion and through the concrete cover.http://dx.doi.org/10.1155/2012/769132 |
| spellingShingle | Hua-Peng Chen Nan Xiao Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking Journal of Applied Mathematics |
| title | Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking |
| title_full | Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking |
| title_fullStr | Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking |
| title_full_unstemmed | Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking |
| title_short | Analytical Solutions for Corrosion-Induced Cohesive Concrete Cracking |
| title_sort | analytical solutions for corrosion induced cohesive concrete cracking |
| url | http://dx.doi.org/10.1155/2012/769132 |
| work_keys_str_mv | AT huapengchen analyticalsolutionsforcorrosioninducedcohesiveconcretecracking AT nanxiao analyticalsolutionsforcorrosioninducedcohesiveconcretecracking |