Exact solution of burst pressure for thick-walled pipes using the flow theory of plasticity

Zhu, Xian-Kui

doi:10.1016/j.ijmecsci.2023.108582

Exact solution of burst pressure for thick-walled pipes using the flow theory of plasticity

Journal Article · Sun Jul 02 00:00:00 EDT 2023 · International Journal of Mechanical Sciences

DOI:https://doi.org/10.1016/j.ijmecsci.2023.108582· OSTI ID:2998188

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Savannah River National Laboratory (SRNL), Aiken, SC (United States)

This paper develops an exact solution of burst pressure for defect-free, thick-walled pipes using the flow theory of plasticity in terms of the average shear stress yield criterion (or Zhu-Leis yield criterion). The pipe steel is assumed to obey the power-law strain hardening rule, and large plastic deformation is described by the finite strain theory. On this basis, internal pressure is obtained as a power series function of the effective strains on the inside and outside surfaces of the thick-walled pipe with use of the second Bernoulli numbers. At burst failure, the Zhu-Leis flow solution of burst pressure is determined as a power series solution, and the burst effective strains, the burst effective stresses, and the burst pressure are functions of the diameter ratio (D_o / D_i), strain hardening exponent (n), and ultimate tensile strength (UTS). Similarly, the Tresca and von Mises flow solutions of burst pressure are also determined as a power series solution in terms of the Tresca and von Mises yield criteria. A general closed-from exact solution of burst pressure is then proposed for the three yield criteria, and the results showed that the proposed exact solution matches well with the power series solution for each yield criterion. Moreover, the von Mises flow solution is an upper bound prediction, the Tresca flow solution is a lower bound prediction, and the Zhu-Leis flow solution is an intermediate prediction that agrees well with the finite element analysis results of burst pressure for thick-walled pipes. Furthermore, two datasets of full-scale burst tests are then utilized to evaluate and validate the proposed flow solutions of burst pressure for both thin and thick-walled pipes.

View Accepted Manuscript (DOE)

Research Organization:: Savannah River National Laboratory (SRNL), Aiken, SC (United States)

Sponsoring Organization:: USDOE Office of Environmental Management (EM); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89303321CEM000080

OSTI ID:: 2998188

Alternate ID(s):: OSTI ID: 2000174

Report Number(s):: SRNL--STI-2023-00400

Journal Information:: International Journal of Mechanical Sciences, Journal Name: International Journal of Mechanical Sciences Vol. 259; ISSN 0020-7403

Publisher:: Elsevier BVCopyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
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