Tesis Doctoral
DOI
https://doi.org/10.11606/T.18.2016.tde-29092016-093936
Documento
Autor
Nombre completo
Higor Sérgio Dantas de Argôlo
Área de Conocimiento
Fecha de Defensa
Publicación
São Carlos, 2016
Director
Tribunal
Proença, Sergio Persival Baroncini (Presidente)
Bussamra, Flavio Luiz de Silva
Evangelista Júnior, Francisco
Flórez López, Julio
Savassi, Walter
Título en portugués
Método da partição e formulação híbrido-Trefftz na análise de sólidos bidimensionais contendo múltiplas fissuras
Palabras clave en portugués
Formulação híbrido-Trefftz
Mecânica da fratura
Método da partição
Splitting method
Resumen en portugués
Título en inglés
Splitting method and hybrid-Trefftz formulation on the analysis of two dimensional solids containing multiple cracks
Palabras clave en inglés
Híbrido-Trefftz formulation
Mechanic of fracture
Splitting Method
Resumen en inglés
This paper presents the development of a computational framework to the analysis of two dimensional solids containing multiple cracks using a new strategy with the combination of splitting method and hybrid-Trefftz stress formulation. The first consists of a decomposition method to the analysis of solids containing multiple cracks through the split of original problem (PG) into three subproblems: global subproblem (PG(0)), where the solid is analyzed without the cracks, local subproblems (PL(k)), where each crack is analyzed individually and insert in an arbitrary domain, and global subproblems (PG(k)), where the effects of the interaction between cracks are evaluated. Solution of PG is obtained using the condition that the sum of tractions on crack faces of all subproblems are null. For simplicity, subproblems PG(0) and PG(k) are analyzed by classical finite element method (FEM). On the other hand, PL(k) are analyzed by hibrid-Trefftz formulation aiming a high efficiency on the evaluation of cracked subproblems. This formulation promote the approximation of stresses and displacements fields on domain and boundary of elements, respectively, on an independent manner. Bases of appoximation of stress field are constructed by functions that solves the Navier equation with the addition of analitical functions of mechanic of fracture. Hence, this formulaition provides good solution of the problem with coarse mesh. Moreover, the stress intensity factors (SIF) of cracks may be obtained directly from the solution of linear system of the problem. Numerical results are presented in order to ilustrate the use of the strategy and its efficiency on the evaluating of accurate solutions with a low computational cost of the analysis.

ADVERTENCIA - La consulta de este documento queda condicionada a la aceptación de las siguientes condiciones de uso:
Este documento es únicamente para usos privados enmarcados en actividades de investigación y docencia. No se autoriza su reproducción con finalidades de lucro. Esta reserva de derechos afecta tanto los datos del documento como a sus contenidos. En la utilización o cita de partes del documento es obligado indicar el nombre de la persona autora.
Fecha de Publicación
2016-09-29