Determination of the limiting sizes of crack-like defects in a wall of steel vertical tanks

UDK: 621.64:539.4
DOI: 10.24887/0028-2448-2017-3-104-107
Key words: vertical steel tank, surface cracks, finite element method, stress intensity factor
Authors: G.H. Samigullin, AA Lyagova (Saint-Petersburg Mining University, RF, Saint-Petersburg)
This paper presents the results of numerical investigation of stress-strain state of the vertical steel tanks with longitudinally oriented cracks. The paper studies the cracks in the wall of vertical steel tanks with specified volume of 5000, 10000, 20000 and 30000 m3. Surface non-through cracks are one of the main causes of tank failure. The prognostication of the crack critical dimensions requires analytical expression for the K-calibration function. K-calibration function is the dependence taking into account the change in dimensions of a defect and defect orientation angle relatively to generatix of the tank. The calculation of the stress-intensity factor (SIF) of a surface longitudinally oriented crack located in the tank wall was performed using finite element method. The cracks with various dimensions were studied by generating global finite-element model of the tank and a sub-model of the tank ring with a crack. Curve Fitting Toolbox Matlab software was implemented to derive analytical expressions for K-calibration function of cracks with different shape located in the wall of vertical steel tank. All expressions for the K-calibration function are described by a polynominal function that allows estimating the critical size of a defect. The new program is created for calculation critical and threshold crack depth. The work results could be interesting for oil industry engineers.

References

1. Evdokimov V.V., Basko E.M., About normalization of the permissible size of internal

defects in the welded joints of the wall with the technical diagnosis of

oil vertical storage tanks (In Russ.), Montazhnye i spetsial’nye raboty v

stroitel’stve, 2007, no. 6, pp. 24–27.

2. Khanukhov Kh.M., Analiz prichin avariy rezervuarov, proektnoe, normativnoe

i tekhnicheskoe obespechenie ikh bezopasnoy ekspluatatsii (Analysis of

the causes of tanks accidents, design, regulatory and technical support for

their safe operation), Proceedings of International scientific and practical

conference “Novye resheniya konstruktsiy, tekhnologii sooruzheniya i remonta

stal’nykh rezervuarov” (New solutions of designs, construction techniques

and repair of steel tanks), NEFTEGAZMASh, Samara, 2007, pp. 112–120.

3. Bolot in V.V., Resurs mashin i konstruktsiy (Source of machines and structures),

Moscow: Mashinostroenie Publ., 1990, 447 p.

4. Gallyamov A.K., Chernyaev K.V., Shammazov A.M., Obespechenie

nadezhnosti funktsionirovaniya sistemy nefteprovodov na osnove tekhnicheskoy

diagnostiki (Ensuring the reliability of oil pipelines on the basis of technical

diagnostics), Ufa: Vremya Publ., 1998, 597 p.

5. Shlyannikov V.N., Zakharov A.P., Gerasimenko A.A., The characteristics of

the cyclic crack resistance of steel St-3 under biaxial loading (In Russ.), Trudy

Akademenergo, 2013, no. 4, pp. 91–101.

6. Shlyannikov V., Tumanov A., Zakharov A., Gerasimenko A., Surface crack

growth subject to bending and biaxial tension-compression, Fracture and

Structural Integrity, 2016, V. 35, pp. 114–124.

7. Parton V.Z., Morozov E.M., Mekhanika uprugoplasticheskogo razrusheniya:

Osnovy mekhaniki razrusheniya (The mechanics of elastoplastic fracture:

Fundamentals of fracture mechanics), Moscow: LKI Publ., 2008, 352 p.

8. Pokrovskiy A.M., Chermoshentseva A.S., Estimating the survivability of a

stretched plate with a transverse semielliptical crack (In Russ.), Izvestiya vuzov.

Mashinostroenie, 2014, no. 3, pp. 42–46.

9. Pestrikov V.M., Morozov E.M., Mekhanika razrusheniya tverdykh tel (Fracture

mechanics of solid bodies), St. Petersburg: Professiya Publ., 2002, 320 p.

10. Cherepanov G.P., Mekhanika razrusheniya (Fracture mechanics), Izhevsk:

Publ. of Institute of Computer Science, 2012, 872 p.

11. Gerasimenko A.A., Prognozirovanie ostatochnogo resursa stal’nykh vertikal’nykh

rezervuarov po parametram tsiklicheskoy treshchinostoykosti v

usloviyakh dvukhosnogo nagruzheniya (Prediction of residual life of steel vertical

tanks in the parameters of crack resistance under cyclic biaxial loading):

thesis of candidate of technical science, St. Petersburg, 2014.В 
This paper presents the results of numerical investigation of stress-strain state of the vertical steel tanks with longitudinally oriented cracks. The paper studies the cracks in the wall of vertical steel tanks with specified volume of 5000, 10000, 20000 and 30000 m3. Surface non-through cracks are one of the main causes of tank failure. The prognostication of the crack critical dimensions requires analytical expression for the K-calibration function. K-calibration function is the dependence taking into account the change in dimensions of a defect and defect orientation angle relatively to generatix of the tank. The calculation of the stress-intensity factor (SIF) of a surface longitudinally oriented crack located in the tank wall was performed using finite element method. The cracks with various dimensions were studied by generating global finite-element model of the tank and a sub-model of the tank ring with a crack. Curve Fitting Toolbox Matlab software was implemented to derive analytical expressions for K-calibration function of cracks with different shape located in the wall of vertical steel tank. All expressions for the K-calibration function are described by a polynominal function that allows estimating the critical size of a defect. The new program is created for calculation critical and threshold crack depth. The work results could be interesting for oil industry engineers.

References

1. Evdokimov V.V., Basko E.M., About normalization of the permissible size of internal

defects in the welded joints of the wall with the technical diagnosis of

oil vertical storage tanks (In Russ.), Montazhnye i spetsial’nye raboty v

stroitel’stve, 2007, no. 6, pp. 24–27.

2. Khanukhov Kh.M., Analiz prichin avariy rezervuarov, proektnoe, normativnoe

i tekhnicheskoe obespechenie ikh bezopasnoy ekspluatatsii (Analysis of

the causes of tanks accidents, design, regulatory and technical support for

their safe operation), Proceedings of International scientific and practical

conference “Novye resheniya konstruktsiy, tekhnologii sooruzheniya i remonta

stal’nykh rezervuarov” (New solutions of designs, construction techniques

and repair of steel tanks), NEFTEGAZMASh, Samara, 2007, pp. 112–120.

3. Bolot in V.V., Resurs mashin i konstruktsiy (Source of machines and structures),

Moscow: Mashinostroenie Publ., 1990, 447 p.

4. Gallyamov A.K., Chernyaev K.V., Shammazov A.M., Obespechenie

nadezhnosti funktsionirovaniya sistemy nefteprovodov na osnove tekhnicheskoy

diagnostiki (Ensuring the reliability of oil pipelines on the basis of technical

diagnostics), Ufa: Vremya Publ., 1998, 597 p.

5. Shlyannikov V.N., Zakharov A.P., Gerasimenko A.A., The characteristics of

the cyclic crack resistance of steel St-3 under biaxial loading (In Russ.), Trudy

Akademenergo, 2013, no. 4, pp. 91–101.

6. Shlyannikov V., Tumanov A., Zakharov A., Gerasimenko A., Surface crack

growth subject to bending and biaxial tension-compression, Fracture and

Structural Integrity, 2016, V. 35, pp. 114–124.

7. Parton V.Z., Morozov E.M., Mekhanika uprugoplasticheskogo razrusheniya:

Osnovy mekhaniki razrusheniya (The mechanics of elastoplastic fracture:

Fundamentals of fracture mechanics), Moscow: LKI Publ., 2008, 352 p.

8. Pokrovskiy A.M., Chermoshentseva A.S., Estimating the survivability of a

stretched plate with a transverse semielliptical crack (In Russ.), Izvestiya vuzov.

Mashinostroenie, 2014, no. 3, pp. 42–46.

9. Pestrikov V.M., Morozov E.M., Mekhanika razrusheniya tverdykh tel (Fracture

mechanics of solid bodies), St. Petersburg: Professiya Publ., 2002, 320 p.

10. Cherepanov G.P., Mekhanika razrusheniya (Fracture mechanics), Izhevsk:

Publ. of Institute of Computer Science, 2012, 872 p.

11. Gerasimenko A.A., Prognozirovanie ostatochnogo resursa stal’nykh vertikal’nykh

rezervuarov po parametram tsiklicheskoy treshchinostoykosti v

usloviyakh dvukhosnogo nagruzheniya (Prediction of residual life of steel vertical

tanks in the parameters of crack resistance under cyclic biaxial loading):

thesis of candidate of technical science, St. Petersburg, 2014.В 


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