Abstract
A conventional method of damage modeling by a reduction in stiffness is insufficient to model the complex non-linear damage characteristics of concrete material accurately. In this research, the concrete damage plasticity constitutive model is used to develop the numerical model of a deck beam on a berthing jetty in the Abaqus finite element package. The model constitutes a solid section of 3D hexahedral brick elements for concrete material embedded with 2D quadrilateral surface elements as reinforcements. The model was validated against experimental results of a beam of comparable dimensions in a cited literature. The validated beam model is then used in a three-point load test configuration to demonstrate its applicability for preliminary numerical evaluation of damage detection strategy in marine concrete structural health monitoring. The natural frequency was identified to detect the presence of damage and mode shape curvature was found sensitive to the location of damage.
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References
ABAQUS (2013) Abaqus Analysis User Manual - Abaqus Version 6.13. Available from http://50.16.176.52/v6.13/books/stm/default.php
Apostolopoulos CA, Michalopoulos D (2006) Effect of corrosion on mass loss, and high and low cycle fatigue of reinforcing steel. J Mater Eng Perform 15(6):742–749. https://doi.org/10.1361/105994906X1
Buyukozturk O, Shareef SS (1985) Constitutive modeling of concrete in finite element analysis. Comput Struct 21(3):581–610. https://doi.org/10.1016/0045-7949(85)90135-x
Buyukozturk O, Tseng TM (1984) Concrete in biaxial cyclic compression. J Struct Eng 110(3):461–476. https://doi.org/10.1061/(asce)0733-9445(1984)110:3(461)
Chandrasekaran S (2016) Offshore structural engineering: reliability and risk assessment. CRC Press
Chandrasekaran S, Ajesh Kumar PT (2014) Characterizing structural degradation with crack depth in RC beam of coastal jetty: numerical studies. Proc. of the ninth Structural Engineering Convention (SEC), Delhi, India
Chi M, Kirstein AF (1958) Flexural cracks in reinforced concrete beams. J Am Concrete Inst 54(10):865–878
Ciambella J, Vestroni F (2015) The use of modal curvatures for damage localization in beam-type structures. J Sound Vib 340:126–137. https://doi.org/10.1016/j.jsv.2014.11.037
Dawari VB, Vesmawala GR (2013) Structural damage identification using modal curvature differences. IOSR J Mech Civ Eng 4:33–38
Doebling SW, Farrar CR, Prime MB, Shevitz DW (1998) Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos National Laboratory report, LA-13070-MS. https://doi.org/10.2172/249299
Gillich GR, Praisach ZI, Negru I (2012) The relationship between changes of deflection and natural frequencies of damaged beams. Advances in Remote Sensing, Finite Differences and Information Security: (F-And-B 012), (REMOTE 012), (ISP 012), WI, 38-42
Gudmundson P (1982) Eigen frequency changes of structures due to crack, notches or their geometrical changes. J Mech Phys Solids 30(5):339–353. https://doi.org/10.1016/0022-5096(82)90004-7
Hillerborg A, Modéer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete using fracture mechanics and finite elements. Cem Concr Res 6(6):773–781. https://doi.org/10.1016/0008-8846(76)90007-7
Ismail, Z., H. A. Razak, and A. A. Rahman (2006). Determination of damage location in rc beams using mode shape derivatives. Engineering Structures, 28(11):1566–1573.
Kim JT, Ryu YS, Cho HM, Stubbs N (2003) Damage identification in beam-type structures: frequency-based method v/s mode-shape-based method. Eng Struct 25:55–67. https://doi.org/10.1016/S0141-0296(02)00118-9
Lee J, Fenves GL (1998) Plastic-damage model for cyclic loading of concrete structures. J Eng Mech 124(8):892–900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892)
Lubliner J, Oliver J, Oller S, Onate E (1989) A plastic-damage model for concrete. Int J Solids Struct 25(3):299–326. https://doi.org/10.1016/0020-7683(89)90050-4
Ndambi JM, Vantomme J, Harri K (2002) Damage assessment in reinforced concrete beams using eigenfrequencies and mode shape derivatives. Eng Struct 24:501–515. https://doi.org/10.1016/S0141-0296(01)00117-1
Oller S, Onate E, Oliver J, Lubliner J (1990) Finite element nonlinear analysis of concrete structures using a “plastic-damage model”. Eng Fract Mech 35(1–3):219–231. https://doi.org/10.1016/0013-7944(90)90200-Z
Perera R, Huerta C, Orquin JM (2008) Identification of damage in RC beams using indexes based on local modal stiffness. Constr Build Mater 22:1665–1667. https://doi.org/10.1016/j.conbuildmat.2007.06.012
Rucevskis S, Wesolowski M (2010) Identification of damage in a beam structure by using mode shape curvature squares. J Sound Vib 17:601–610. https://doi.org/10.3233/SAV-2010-0551
Salawu OS (1997) Detection of structural damage through changes in frequency: a review. Eng Struct 19(9):718–723. https://doi.org/10.1016/S0141-0296(96)00149-6
Shekarchi M, Moradimarani F, Pargar F (2011) Corrosion damage of a reinforced concrete jetty structure in the Persian Gulf: a case study. Struct Infrastruct E 7(9):701–713. https://doi.org/10.1080/15732470902823903
Takahashi Y (1983) Elastic-plastic constitutive modeling of concrete, No. ANL-83-23. Argonne National Lab
Vandiver JK (1975) Detection of structural failure on fixed platforms by measurement of dynamic response. Offshore Technology Conference. https://doi.org/10.4043/2267-MS
Vandiver JK (1977) Detection of structural failures on fixed platforms by measurement of dynamic response. J Pet Technol 29(3):305–310. https://doi.org/10.2118/5679-PA
Vigneshwaran K, Behera R (2014) Vibration analysis of a simply supported beam with multiple breathing cracks. Procedia Eng 86:835–842. https://doi.org/10.1016/j.proeng.2014.11.104
Zou Y, Tong L, Steven GP (2000) Vibration-based model dependent damage (delamination) identification and health monitoring for composite structures - a review. J Sound Vib 230(2):357–378. https://doi.org/10.1006/jsvi.1999.2624
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Article Highlights
• In order for wave energy to be a viable energy option, the survivability in harsh offshore environments must be guaranteed.
• Peak forces in the connection line used in the wave energy concept developed at Uppsala University are studied.
• Three numerical models are presented and compared with each other and with the physical wave tank data.
• The performance of each model is studied and seen dependent on buoy geometry and applied level of power take-off damping.
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Chandrasekaran, S., Kumar, P.T.A. Damage Detection in Reinforced Concrete Berthing Jetty Using a Plasticity Model Approach. J. Marine. Sci. Appl. 18, 482–491 (2019). https://doi.org/10.1007/s11804-019-00108-3
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DOI: https://doi.org/10.1007/s11804-019-00108-3