Assesment of the temperature loading influence on crack resistance of a tank with a semi-eliptical crack
DOI:
https://doi.org/10.32347/2410-2547.2022.108.87-96Keywords:
finite element method, elliptic crack, stress intensity factor, tank, thermal loadingAbstract
Reservoir parks are the main place of storage of petroleum products. There has been a tendency transition to the use of larger tanks in recent years, which is economically justified. However, it is leads to fire risk increase to accumulate large quantities of petroleum products. Tank fire is one of the most dangerous emergency event, which can lead not only to significant material damage but also to ecological human losses in case of spreading of fire to other tanks. To ensure safety and test the bearing capacity in these conditions determination of the stress-strain state in such tanks must be performed taking into account the temperature load. If there is an initial crack in the tank wall the assessment of crack resistance should be performed. In a previous work the authors determined the stress intensity factor (SIF) distribution along the semi-elliptical crack front in the RVS-5000 tank under hydrostatic pressure. The estimation of a stress-strain state of a steel vertical tank with an initial semi-elliptical crack under the thermal loading is performed in this article. It is suppoused that the part of wall of the tank, located closest to the fire epicenter, is heated unevenly in height: from 300 degrees at the top to 200 degrees at the bottom. On the other part of the tank the temperature reaches 70 degrees. The temperature within wall thickness is considered constant. Given the asymmetric nature of the temperature distribution, a discrete model was developed for the entire tank. After determining the stress-strained state in the whole tank under hydrostatic pressure and temperature load, a fragment with a semi-elliptical crack was calculated separately. The stresses determined from the calculation of the whole tank are used like an external load, applied on fragment boundaries. The difference of results of direct and energetic method of SIF calculation are in the range of 5%. Taking into account the temperature loading leads to an increase in the SIF values by about 20 % in comparison to the results of the calculation only under hydrostatic pressure.
References
Anuwedita Singha, Dasa S., Craciun E. Thermal stress intensity factor for an edge crack in orthotropic composite media // Composites Part B: Engineering Volume 153, 15 November 2018, Pages 130-136.
Bazhenov V., Pyskunov S., Shkryl O. A methodology of determining of parameter J* in discrete models of finite element method // Strength of materials and theory of structures. – 2017. – No.99. – С. 33-44.
Bazhenov V.A., Gulyar A.I., Piskunov S.O., Shkryl’ A.A. Validity of a Modified Method of Evaluating the Invariant J-integral for Elastoplastic Deformation of Prismatic Solids / International Applied Mechanics. – 2018, v.54 – No.4. – PP. 378–383.
Bazhenov, V.A., Pyskunov S.O., Solodey I.I Сontinium mechanics: semi-analytical finite element method. - Cambridge Publisher, 2019. - 216 p.
Chen F.M., Chao .C.K, Chiu C.C., Noda N.A. Stress intensity factors for cusp-type crack problem under mechanical and thermal loading // Journal of Mechanics. - Vol. 37, 2021. – РР.279–332. https://doi.org/10.1093/jom/ufaa028
Chhabra1 V., Kumar N. Analysis of Stress Intensity Factor in a Surface Cracked Plate under Convective Thermal Loading // IOP Conf. Series: Materials Science and Engineering IOP Publishing. - doi:10.1088/1757-899X/1116/1/012011.
Lokalyzatsyia pozharov v rezervuarakh s nefteproduktamy [Localization of fires in tanks with oil products] / A.E. Basmanov, A.A. Mykhailiuk. – Kharkov: NUHZU, 2011. – 108 p.
Mekhanika ruinuvannia. Spetskurs: navchalnyi. posibnyk [Fracture Mechanics. Special course: educational manual (in Ukrainian)] / O.O.Shkryl. - Kyiv: KNUBA, 2020. – 104 p.
Morozov E. M. Metod konechnych elementov v mekhanike razrushenyia [Finite element method in a fracture mechanic] / [E. M. Morozov, H. P. Nykyshkov]. – M. : Nauka, 2017. – 257 p.
Nabavi S. M., R. Ghajar R. Analysis of thermal stress intensity factors for cracked cylinders using weight function method // International Journal of Engineering Science. - 48(12), 2010. - PP:1811–1823. DOI:10.1016/j.ijengsci.2010.08.006
Napivanalitychnyi metod skinchenykh elementiv u zadachakh ruinuvannia til z trishchynamy [Semi-analytical method of finite elements in problems of fracture of bodies with cracks (in Ukrainian)] / Bazhenov V. A., Pyskunov S. O., Shkryl O. O. – Kyiv: Karavela, 2017. – 208 p.
Ognjanović O., Stamenković D., Maksimović K. Effects of Thermal Gradients on Fracture Mechanics Parameters // Scientific Technical Review. - Vol.63, No.32013, PP.17-21.
Pyskunov S. O., Shkryl O.O. Maksymiuk Yu.V. Vyznachennia trishchynostiikosti rezervuaru z napiveliptychnoiu trishchynoiu [Determination of a cracks resistance of a tank with a semi elliptical crack] // Strength of materials and theory of structures. – 2021. –No. 106. – PP. 60-66.
Pyskunov S.O., Shkryl O.O., Mytsiuk S.V. Priamyi metod vyznachennia koefitsiientiv intensyvnosti napruzhen v pryzmatychnykh ta prostorovykh nezamknenykh tilakh obertannia pry statychnomu navantazhenni [Direct method for determining stress intensity coefficients in prismatic and spatial open bodies of rotation under static load (in Ukrainian)] // Strength of materials and theory of structures. – 2016. – No. 97. – PP. 3-14.
Pyskunov S.O., Hrechukh N.A., Ostapenko R.M. Obchyslennia KIN v prostorovykh tilakh obertannia pry temperaturnomu navantazhenni [SIF calculation in space circular bodies under termal loading] // Strength of materials and theory of structures. – 2006. – No. 80. – PP.38-53.
Pyskunov S.O., Shkryl O.O. Vyznachennia trishchynostiikosti zakhysnoi obolonky yadernoho reaktoru pry termosylovomu navantazhenni [Determination of crack resistance of the protective shell of a nuclear reactor under thermal load (in Ukrainian)] // Strength of materials and theory of structures. – 2018. – No.101. – PP. 60-66.
Shkryl O.O. Vyznachennia G na osnovi obchyslennia invariantnykh obiemnykh intehraliv metodom reaktsii [Determination of G based on the calculation of invariant volume integrals by the reaction method (in Ukrainian)] // Strength of materials and theory of structures. – 2017. – No.98. – PP.31-42.
Shkryl O.O. Vyznachennia koefitsiientiv intensyvnosti napruzhen u dvovymirnykh tilakh pry temperaturnomu navantazhenni [Determination of stress intensity factor in two-dimensional bodies under termal loading] // Strength of materials and theory of structures. . – 2014. – No. 93 – PP.125-133.
Walters Matthew C., Paulino Glaucio H., Dodds Robert H. Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading // International Journal of Solids and Structures. - 41, 2004. – РР.1081–1118.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.