Prediction of actual limit stresses in a thin-walled pipe loaded with internal pressure and axial tension

Fìz.-mat. model. ìnf. tehnol. 2021, 31:35-41

Abstract

If a thin-walled pipe loaded with internal pressure and tension allows the appearance of plastic trains, then the uniform plastic stability loss with the emergence of a local plastic deformation zone is considered the limit state, the corresponding stresses are considered as the limit. Correct prediction of the stress-strain state at the moment of strain localization requires taking into account the actual size of the loaded pipe and the calculation of true stresses. The article proposes the implementation of the method of predicting the limit values of true stresses that appear in the pipe at different ratios of internal pressure and axial tension. The physical and mechanical properties of the material, the type of stress state and the change in the actual dimensions of the loaded element are taken into account.

References

1. Swift, H. W. (1952). Plastic Instability under Plane Stress. Journal of the Mechanics and Physics of Solids, 1(1), 1–18.
2. Marciniak, Z. (1966). Utrata stateczności rozciaganych powlok plastycznych. Mech. teoretyzna i stosowona, 4(3), 209–220.
3. Xian-Kui, Zh., Brian, L. (2011). Evaluation of burst pressure prediction models for line pipes. International Journal of Pressure Vessels and Piping - INT J PRESSURE VESSELS PIPING.
   DOI doi.org/10.1016/j.ijpvp.2011.09.007
4. Law, M. (2005). Use of the cylindrical instability stress for blunt metal loss defects in linepipe. International Journal of Pressure Vessels and Piping, 82(12), 925–928.
   DOI doi.org/10.1016/j.ijpvp.2005.04.002
5. Kozbur, H. (2020). Method of predicting necking true stress in a thin-walled tube under a complex stress state. Strojnícky časopis. Journal of Mechanical Engineering, 71(2). (in press)
   DOI doi.org/10.2478/scjme-2020-0024
6. Kozbur, G. V., Shkodzinsky, O. K., Gladio, O. Yu. (2020). Methods of construction of the generalized hardening curve. Odes’kyi Politechnichnyi Universytet. Pratsi, 2(61), 78-85.
   DOI doi.org/10.15276/opu.2.61.2020.09
7. Kaminskiy, A. A., Bastun, V. N. (1985). Deformatsionnoe uprochnenie i razrushenie metallov pri peremennyih protsessah nagruzheniya. K.: Nauk. dumka.