Elastoplastic Analysis of Novel Parabola-Arc-Shaped Head for Internal Pressure Vessel

Abstract:

In this paper, the elastoplastic stress analysis of a novel parabola-arc-shaped head subjected to internal pressure has been carried out using finite element method. Limit loads and burst pressures are obtained for various geometric parameters and compared with the conventional torispherical and ellipsoidal heads. For the same middle diameter and thickness, the novel parabola-arc-shaped head shows better mechanical performance than the torispherical head. The burst pressure is mainly determined by the size of cylinder and the burst always occurs in cylinder. The head can improve the burst load when the cylinder is relatively short. The improvement of the novel parabola-arc-shaped head is almost the same as the ellipsoidal head, while the torispherical head is slightly inferior. As the novel parabola-arc-shaped head can be more easily formed with less material consumed compared to the conventional ones, it should thus be applicable in engineering practice.

• Periodical: Applied Mechanics and Materials (Volume 750)
• Pages: 352-362
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.750.352
• Online since: April 2015
• Authors: Ning Wang*, Hong Qi Liu, Shan Tung Tu
• Keywords: Burst Pressure, Elastoplastic, Limit Load, Parabola-Arc-Shaped Head

References

[1] Galletly GD. Torispherical shells. In: Narayanan R, editor. Shell structures. Stability and strength. London: Elsevier, 1985: 281-310.

[2] Blachut J．Plastic loads for internally pressurised torispherical．Int J Pressure Vessels Piping, 1995(64)：91-100.

DOI: 10.1016/0308-0161(94)00072-q

[3] Sorić J, Zahlten W．Elastic-plastic analysis of internally pressurized torispherical shells．Thin-Walled Struct, l995, 4(22)：217-239.

DOI: 10.1016/0263-8231(94)00032-u

[4] Magnucki K, Szyc W．Stability of elliptical heads of cylindrical pressure vessels．Applied Mechanics and Engineering, 2000, 5(2)：389-404.

[5] Franco JRQ, Ponter ARS. A general approximate technique for the finite element shakedown and limit analysis of axisymmetrical shells. Part 2: numerical applications. International Journal for Numerical Methods Engineering, 1997, 40: 3515-3536.

DOI: 10.1002/(sici)1097-0207(19971015)40:19<3515::aid-nme223>3.0.co;2-w

[6] Blachut J, Galletly GD．Influence of local imperfections on the collapse strength of domed end closures ．Proceedings of the Institution of Mechanical Engineers, 1993(207)：197-207.

DOI: 10.1243/pime_proc_1993_207_117_02

[7] Magnucki K., Szyc W., Lewinski J． `, Minimization of stress concentration factor in cylindrical pressure vessels with elliptical heads ．International Journal of Pressure Vessels and Piping, 2002, 79：841-846.

DOI: 10.1016/s0308-0161(02)00101-1

[8] Yeom DJ, Robinson M, Numerical analysis of the elastic-plastic behavior of pressure vessels with ellipsoidal and torispherical heads. International journal of pressure vessels and piping, 1996, 65: 147-156.

DOI: 10.1016/0308-0161(94)00174-h

[9] Tafreshi A, Numerical analysis of thin torispherical end closures. International journal of pressure vessels and piping, 1997, 71(1): 77-88.

DOI: 10.1016/s0308-0161(96)00062-2

[10] Magnucki K, Lewiński J, Fully stressed head of a pressure vessel, Thin-Walled Structures, 2000(38): 167-178.

DOI: 10.1016/s0263-8231(00)00031-8

[11] Błachut J. Influence of meridional shaping on the collapse strength of FRP domes. Engineering Optimization 1992; 19: 65-80.

DOI: 10.1080/03052159208941221

[12] Błachut J. Minimum weight of internally pressurised domes subject to plastic load failure. Thin-Walled Structures 1997; 27(2): 127-46.

DOI: 10.1016/s0263-8231(96)00036-5

[13] Błachut J, Ramachandra LS. Optimization of internally pressurised torispheres subject to shakedown via gas. Engineering Optimization 1997; 29: 113-29.

DOI: 10.1080/03052159708940989

[14] GB/T25198-2010. Standard of Head for Steel Pressure Vessel [S]. (2010).

[15] ASME, Boiler and pressure vessel code section III. New York: American Society for Mechanical Engineers. (1998).

[16] ASME, Boiler and pressure vessel code section VIII. New York: American Society for Mechanical Engineers. (1998).