An isogeometric boundary element approach for topology optimization using the level set method

Autor(es)

Oliveira, Hugo Luiz ^[1] ; de Castro e Andrade, Heider ^[1] ; Leonel, Edson Denner ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Sao Carlos Sch Engn EESC, Dept Struct Engn SET, Av Trabalhador Saocarlense 400, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematical Modelling; v. 84, p. 536-553, AUG 2020.
• Citações Web of Science: 0

Resumo

Among the various types of structural optimization, topology has been occupying a prominent place over the last decades. It is considered the most versatile because it allows structural geometry to be determined taking into account only loading and fixing constraints. This technique is extremely useful in the design phase, which requires increasingly complex computational modeling. Modern geometric modeling techniques are increasingly focused on the use of NURBS basis functions. Consequently, it seems natural that topology optimization techniques also use this basis in order to improve computational performance. In this paper, we propose a way to integrate the isogeometric boundary techniques to topology optimization through the level set function. The proposed coupling occurs by describing the normal velocity field from the level set equation as a function of the normal shape sensitivity. This process is not well behaved in general, so some regularization technique needs to be specified. Limiting to plane linear elasticity cases, the numerical investigations proposed in this study indicate that this type of coupling allows to obtain results congruent with the current literature. Moreover, the additional computational costs are small compared to classical techniques, which makes their advantage for optimization purposes evident, particularly for boundary element method practitioners. (C) 2020 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 16/23649-0 - Formulações numéricas baseadas no Método dos Elementos de Contorno Isogeométrico para a análise probabilística da propagação de fissuras em meios não homogêneos
• Beneficiário: Heider de Castro e Andrade
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 19/03340-3 - Formulação estendida do método dos elementos de contorno isogeométrico aplicada à modelagem da propagação de múltiplas fissuras
• Beneficiário: Heider de Castro e Andrade
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado