Analysis of the extreme equilibrium conditions of an internal cavity located inside a flat metal plate subjected to an internal pressure p

Pedro Alejandro Tamayo-Meza, Usiel Sandino Silva-Rivera, Luis Armando Flores-Herrera, Lisaura Walkiria Rodríguez-Alvarado, José Humberto Pérez-Cruz, Jesús Eduardo Rivera-López

    Research output: Contribution to journalArticle

    Abstract

    The influence of surface bulges and cavities within metals is an important metallurgical-mechanical problem that has not been fully solved and motivates multiple discussions. This is not only related to the generation of interfaces, but also to the distribution of alloying components and elements. In this study, Laplace's equation was used to develop a set of equations to describe these kinds of defects in plates, which arise during the development of metallurgical processes, and this can be used for the prediction of pipeline failures subjected to internal pressure. In addition, the stability conditions of a cavity under an internal pressure are analyzed. The developed method allows to identify the stress state in the generation of the cavity and its propagation. In addition to this, finite element analyses were carried out in order to show first the stress distribution around a cavity subjected to a series of theoretical operation conditions and second to show the crack growth on the tip of the cavity.

    Original languageEnglish
    Article number2043
    JournalMaterials
    Volume13
    Issue number9
    DOIs
    StatePublished - 1 May 2020

    Keywords

    • Cavity
    • Crack formation
    • Plate defects
    • Stress state

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