Article
Discontinuous quarter-point boundary elements revisited: Computation of T-stress in two-dimensional cracked components
Author/s | Baena Oliva, María del Carmen
García Sánchez, Felipe Sáez Pérez, Andrés |
Department | Universidad de Sevilla. Departamento de Tecnología Electrónica Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Publication Date | 2023-12 |
Deposit Date | 2023-11-07 |
Published in |
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Abstract | This paper analyzes the use of discontinuous quarter-point quadratic elements in a dual or hypersingular
boundary element context to compute the T-stress for cracked 2-D isotropic components. The performance of
this ... This paper analyzes the use of discontinuous quarter-point quadratic elements in a dual or hypersingular boundary element context to compute the T-stress for cracked 2-D isotropic components. The performance of this approach has been demonstrated in the past for stress intensity factors (SIFs) computation and, herein, it is revisited to assess its adequacy for T-stress evaluation. To this end, novel direct extrapolation formulas that determine the T-stress from the computed nodal displacements at the collocation nodes of the discontinuous quarter-point element are proposed, and their accuracy and effectiveness is satisfactorily tested by several numerical examples involving 2-D cracked Carbon NanoTube (CNT) reinforced composites. SIFs extrapolated from the computed nodal crack opening displacements and T-stress evaluated from the computed stresses at internal points (close to the crack-tip) are also presented for completeness. The proposed techniques are a valid and easy-to-implement alternative to the interaction integral approaches when determining SIFs and T-stress. |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MICINN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Junta de Andalucía. Consejería de Economía y Conocimiento |
Project ID. | RTI2018-094945-B-C21
P18-RT-312 |
Citation | Baena, M.C., García-Sánchez, F. y Sáez, A. (2023). Discontinuous quarter-point boundary elements revisited: Computation of T-stress in two-dimensional cracked components. Theoretical and Applied Fracture Mechanics, 128, 104105. https://doi.org/10.1016/j.tafmec.2023.104105. |
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