Name: Hercules de Melo Barcelos
Type: PhD thesis
Publication date: 13/12/2019

Namesort descending Role
Carlos Friedrich Loeffler Neto Advisor *
Luciano de Oliveira Castro Lara Co-advisor *

Examining board:

Namesort descending Role
Andre Bulcão External Examiner *
Carlos Friedrich Loeffler Neto Advisor *
José Antonio Fontes Santiago External Examiner *
José Cláudio de Faria Telles External Examiner *
Lucas Silveira Campos External Examiner *
Luciano de Oliveira Castro Lara Co advisor *
Webe João Mansur External Examiner *

Summary: Recently, major challenges have emerged with the advances of modern engineering, and with this, the search for more elaborate model solutions becomes necessary. In this context, the numerical formulations to treat domain integrals present in these models have evolved significantly. Analysis on functional materials can be highly complex if the constitutive property of the environment involved is considered mildly heterogeneous. This entanglement can be even greater considering cases in which the domain presents internal regions with distinct variation properties. The Direct Interpolation Boundary Element Method (DIBEM) is used as a numerical tool in the modeling of scalar problems with two-dimensional constitutive functional properties associated with Radial Basis functions interpolation techniques (RBF). Functional properties are defined by smooth and continuous functions in sectors or not. In the case of functional sectors, the Domain Superposition Technique (DST) is used as a way to associate regions with different properties preserving the particularities of the Boundary Element Method (BEM). Numerical tests are implemented on two-dimensional problems for regular and irregular domains, thus imposing numerical difficulties on the BEM. The results demonstrate the potential of the BEM when compared to the reference values obtained analytically or by the Finite Element Method (FEM).

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