Prediction of steel plate deformation due to triangle heating using the inherent strain method

Jang, Chang Doo; Kim, Tae Hoon; Ko, Dae Eun; Lamb, Thomas; Ha, Yun Sok

doi:10.1007/s00773-005-0202-5

Cited by 24 publications

(8 citation statements)

References 5 publications

(2 reference statements)

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“…As a consequence, nonuniform shrinkage deformation distribution along the thickness can generate corresponding bending angular deformation and hence achieve required surface configuration. According to the simplified thermo-elasto-plastic method, 15,16 thermal plastic deformation can be determined by maximum temperature of top surface T Mtop and temperature gradient along thickness, which can be evaluated by dimensions of HAZ including breadth b and depth h . Figure 2 presents the schematic diagram of dimensions (breadth b and depth h ) of HAZ configuration on top surface and cross section A-A perpendicular to heating path, which can be described as elliptical and semielliptical type, respectively.…”

Section: Analysis Of Ship Hull Plate By Induction Heatingmentioning

confidence: 99%

Effects of inductor patterns on temperature and deformation behavior of ship hull plate by induction heating

Zhang

Liu

Wang

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper mainly investigated the effects of different inductor patterns on thermal forming behavior of ship hull plate by moving induction heating. Alternately-coupled electromagnetic-thermal analysis procedure considering temperature-dependent material properties was firstly implemented at each moving step of inductor, followed with uncoupled thermal-mechanical transient analysis to obtain corresponding thermal deformation. Then temperature distribution, dimensions (breadth b and depth h) of heat-affected zone, and deformation obtained from codirectional current-carrying inductor with no gap and opposite-direction current-carrying inductor with gap were compared, respectively. And effects of heating directions and distance T2 of ODIG were also analyzed. It turns out that codirectional current-carrying inductor with no gap can generate much larger transverse shrinkage at 1.8–2.5 mm/s than opposite-direction current-carrying inductor with gap, otherwise smaller at 3.2–4.0 mm/s, likewise larger temperature gradient at 1.8–4.0 mm/s and thus larger bending angular deformation. Besides, heating direction “Out” can generate larger deformation than “In” and deformation for opposite-direction current-carrying inductor with gap can be effectively improved through adjusting distance T2 until 13 mm. These indicate that adopting appropriate inductor patterns, heating direction and distance T2 of opposite-direction current-carrying inductor with gap can significantly improve thermal forming behavior.

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Section: Analysis Of Ship Hull Plate By Induction Heatingmentioning

confidence: 99%

Effects of inductor patterns on temperature and deformation behavior of ship hull plate by induction heating

Zhang

Liu

Wang

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…They mainly researched the triangle heating lines determination and shrinkage magnitude 1 School of Naval Architecture and Ocean Engineering, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, China 2 The Hull Section Production Designing, Department of Technical Division, Nantong COSCO KHI Ship Engineering Co., Ltd., Nantong, Jiangsu, China distribution. Because triangle heating has complicated heating process with irregular multi-heating paths and highly concentrated heat input, Jang et al 2 presented a circular-disk model using the inherent strain method to predict the deformation during the triangle heating process and described the size and shape of the inherent strain distribution. The problem was considered as an elastic one, and the plate was internally loaded by forces and the moments which were induced by inherent strain.…”

Section: Introductionmentioning

confidence: 99%

“…They mainly researched the triangle heating lines determination and shrinkage magnitude distribution. Because triangle heating has complicated heating process with irregular multi-heating paths and highly concentrated heat input, Jang et al 2 presented a circular-disk model using the inherent strain method to predict the deformation during the triangle heating process and described the size and shape of the inherent strain distribution. The problem was considered as an elastic one, and the plate was internally loaded by forces and the moments which were induced by inherent strain.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis and experimental research of triangle induction heating of the rolled plate

Zhang

Chen

Liu

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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In shipyard, triangle heating technology with irregular multi-heating paths and highly concentrated heat input is used to form a curved plate, especially a concave type plate. Compared with line heating process with simple line segment path, its main purpose is to get a bigger contraction deformation at the plate edge. Hence, triangle heating technology is important for most shipyards to increase hull-forming productivity and study the automation. This paper focuses on the moveable triangle induction heating technology. An electromagnetic coupling finite element model is built to simulate the moveable triangle induction heating process and reveal the temperature characteristics and deformation behavior. The results of the simulation are compared with those obtained from experiments and show good agreement. It demonstrates that the numerical model used in this study is effective for simulating triangle heating for the steel plate forming process in shipbuilding. With the numerical model, the paper further investigates the effect of heating parameters on temperature and shrinkage deformation. These are traced here with a modified mechanical model whose results are in accord with the numerical results. This modified model can be applied to predict the edge shrinkage and explain the effect of heating parameters on transverse shrinkage.

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“…1 Deformation of steel plate by the triangle heating method with gas flame torch was also studied using a simplified model of the process with the inherent strain method. 2,3 Compared to the forming process for steel plates with gas flame heating, the forming process with induction heating has been developed recently and its applications are beginning to be incorporated in the shipbuilding industry as numerous research studies have been carried out on the process. [4][5][6] Analysis of deformation of steel plates in the forming process with the line heating technique using the induction heating has already been performed using 3D analysis, 7 and a simplified equation was derived as well to easily predict the amount of deformation in line heating with various heating parameters regarding the induction heating process on a steel plate.…”

Section: Introductionmentioning

confidence: 99%

Analysis for the angular deformation of steel plates in a high-frequency induction forming process with a triangle heating technique

Bae

Yang

Hyun

2013

Proceedings of the Institution of Mechanical Engineers, Part B:

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A triangle heating technique with the use of a heat source of high-frequency induction heating to make a steel plate deformed into a curved shape was modeled and analyzed using the numerical analysis of the finite element method in order to predict the angular deformation of the steel plate formed by the technique. For the analysis of the deformation, heat generation by an electromagnetic field was first analyzed with consideration of the preheat effect, and heat flow using the heat generated from the plate as the heat source was then analyzed. Thermal history of the plate predicted by numerical analysis was compared with that measured in an experiment of triangle heating on a steel plate. Deformations of the plates were then analyzed with changes of heating parameters including heating dimensions and plate thickness. The analyses were also verified with a series of experiments. In order to derive a simplified equation to readily predict deformation from the triangle heating technique, deformations predicted by numerical analyses and measured by the experiments were synthesized in association with the heating parameters using a statistical method of recursion analysis. The equation was verified to be able to predict the deformations conversely and expected to be practically used in the industry to select the heating parameters for the desired shapes of curved plates.

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Prediction of steel plate deformation due to triangle heating using the inherent strain method

Cited by 24 publications

References 5 publications

Effects of inductor patterns on temperature and deformation behavior of ship hull plate by induction heating

Effects of inductor patterns on temperature and deformation behavior of ship hull plate by induction heating

Numerical analysis and experimental research of triangle induction heating of the rolled plate

Analysis for the angular deformation of steel plates in a high-frequency induction forming process with a triangle heating technique

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