Banca de QUALIFICAÇÃO: Beatriz Ferreira Souza

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : Beatriz Ferreira Souza
DATE: 22/06/2023
TIME: 14:00
LOCAL: TEAMS
TITLE:

Crack propagation path by potential energy minimization and shape sensitivity using DBEM

KEY WORDS:

Crack Propagation; Energy Minimization; Shape Optimization; DBEM.

PAGES: 65
BIG AREA: Engenharias
AREA: Engenharia Civil
SUBÁREA: Estruturas
SPECIALTY: Mecânica das Estruturas
SUMMARY:

Crack propagation can be considered a boundary problem, where the crack moves into the domain. In this sense, the crack advance occurs according to with the Principle of Least Potential Energy in order to maximize the release rate power. Consequently, this is an optimization problem such that the crack propagation angle can be treated as a design variable. The benefit of this approach is that continuous minimization of the energy functional naturally leads to the evolution of the displacement field and satisfies static equilibrium. Furthermore, this procedure does not depend on the precise characterization of the stress field at the tip of the cracks and is disconnected from stress intensity factors. In view of this, this work proposes an Interior Point Exploration Algorithm (IEPI) based on optimization by shape sensitivity and potential energy minimization for determining the direction of crack propagation. To implement this methodology, the algorithm uses the software BemCracker2D and BemLab2D in the modeling and numerical analysis of the problem throughof the Dual Boundary Element Method. The AEPI determines the propagation path by exploiting the elastic strain energy at points in the problem domain that are candidates to be taken into the boundary. The sensitivity of the optimal solution is also evaluated in the vicinity of the optimum point, ensuring its stability and robustness. To consolidate this approach, the study will evaluate problems with single cracks (central and lateral), multiple cracks and different geometries, including holes or stress concentrators. Complementarily, numerical simulations and a vast comparison of cases discussed in the classical literature should be used to validate the algorithm proposed. Finally, it is expected, through this study, that the determination of the propagation path is precisely defined and with relatively low computational expense.

BANKING MEMBERS:
Presidente - 1439182 - GILBERTO GOMES
Interno - 1998608 - ARTUR ANTONIO DE ALMEIDA PORTELA
Externo à Instituição - LUIZ CARLOS WROBEL - PUC - RJ