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New developments to the hp-adaptive global-local Generalized FEM and applications to 3-D Fracture Mechanics problems

Grant number: 20/14463-6
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): August 01, 2021
Effective date (End): July 31, 2022
Field of knowledge:Engineering - Civil Engineering - Structural Engineering
Principal researcher:Sergio Persival Baroncini Proenca
Grantee:Murilo Henrique Campana Bento
Supervisor abroad: Carlos Armando Magalhaes Duarte
Home Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: University of Illinois at Urbana-Champaign, United States  
Associated to the scholarship:19/00435-3 - Hp-adaptive formulation for the global-local generalized finite element method and applications, BP.DR

Abstract

This research project is part of the main PhD grant (FAPESP process number 2019/00435-3), and it is related to the tasks and activities to be developed by the PhD student during the internship period at UIUC (University of Illinois at Urbana-Champaign - USA), under the supervision of Prof. C. Armando Duarte. Three-dimensional (3-D) simulations are often required to solve complex problems in structural engineering that cannot be simplified to two-dimensional (2-D) models without losing important information about their solutions. The main objective of this project is to originally expand the already performed 2-D implementations of the adaptive techniques for the global-local Generalized FEM (GFEM-gl) to 3-D problems. However, it is already expected that these new developments may not be simple and straightforward because of several geometrical difficulties that arise in 3-D simulations. The outstanding expertise of Prof. Duarte and his research group in both this type of simulations and GFEM-gl will contribute to properly guide the computational implementation of these new developments. Initially, the ZZ-BD error estimator and some adaptive techniques will be used to solve 3-D Fracture Mechanics problems using a single-scale (conventional) GFEM approach. Once a good understanding and accuracy of these analyses are obtained, the coupling between the ZZ-BD and the adaptive techniques with the GFEM-gl will be carried out. All of these implementations will be performed so that they can combine the different tools properly. The contributions that this one-year internship program at UIUC will bring to the main PhD project will be essential to complete the 3-D applications proposed in the main research project. In addition, the comprehension of 3-D simulations and the generation of an adaptive tool to solve problems in Fracture Mechanics will certainly expand the range of original results that can arise in this PhD. Finally, the internship will also provide extremely important contributions to the student's professional and scientific training.

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