Analysis of the Extreme Equilibrium Conditions of an Internal Cavity Located Inside a Flat Metal Plate Subjected to an Internal Pressure <i>p</i>
Pedro Alejandro Tamayo-Meza,
Usiel Sandino Silva-Rivera,
Luis Armando Flores-Herrera,
Lisaura Walkiria Rodríguez-Alvarado,
José Humberto Pérez-Cruz,
Jesús Eduardo Rivera-López
Affiliations
Pedro Alejandro Tamayo-Meza
Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingeniería Mecánica y Eléctrica, U. Azcapotzalco, Instituto Politécnico Nacional, Av. Granjas No. 682, Alc. Sta. Catarina, Mexico City 02250, Mexico
Usiel Sandino Silva-Rivera
Departamento de Dinámica de Sistemasy Control, Facultad de Ingeniería, Universidad Autónoma del Estado de México, Cerro de Coatepec S/N, Ciudad Universitaria, Toluca Edo. de México 50100, Mexico
Luis Armando Flores-Herrera
Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingeniería Mecánica y Eléctrica, U. Azcapotzalco, Instituto Politécnico Nacional, Av. Granjas No. 682, Alc. Sta. Catarina, Mexico City 02250, Mexico
Lisaura Walkiria Rodríguez-Alvarado
Departamento de Sistemas, Facultad de Ingeniería, Universidad Autónoma Metropolitana, U. Azcapotzalco, Av. San Pablo 180, Alc. Reynosa Tamaulipas, Mexico City 02200, Mexico
José Humberto Pérez-Cruz
Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingeniería Mecánica y Eléctrica, U. Azcapotzalco, Instituto Politécnico Nacional, Av. Granjas No. 682, Alc. Sta. Catarina, Mexico City 02250, Mexico
Jesús Eduardo Rivera-López
Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingeniería Mecánica y Eléctrica, U. Azcapotzalco, Instituto Politécnico Nacional, Av. Granjas No. 682, Alc. Sta. Catarina, Mexico City 02250, Mexico
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.
