Pure-displacement formulation and bulk modulus propagation for topology optimization with pressure loads

Autor(es)

Moscatellia, Eduardo ; Sa, Luis F. N. ; Emmendoerfer Jr, Helio ; Silvaa, Emilio C. N.

• Tipo de documento: Artigo Científico
• Fonte: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 411, p. 23-pg., 2023-06-01.

Resumo

This work proposes a pure-displacement formulation for topology optimization with pressure loads and the use of a continuous boundary propagation technique. This technique allows controlling the non-solid (fluid or void) constitutive behavior by disseminating the desired bulk modulus to holes in the solid domain. The novelty of the proposed approach is to enable the distribution of solid, fluid, and void simultaneously with one design variable field. A density-based topology optimization approach is considered, and a gradient-based interior point algorithm is used. The linear elasticity equilibrium equations are discretized by the finite element method and solved with a sparse direct solver. The sensitivities are calculated by the discrete adjoint method with automatic differentiation. The optimization problems encompass compliance minimization (in 2D and 3D) and a compliant mechanism design to maximize the output displacement. Three examples evaluate the proposed formulation: the internally-pressurized lid, the piston head, and the inverter-compliant mechanism. The results show that different designs are obtained by considering different constitutive behavior for the non-solid phase.(c) 2023 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• Processo FAPESP: 20/15230-5 - Centro de Pesquisa e Inovação de Gases de Efeito Estufa - RCG2I
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• Processo FAPESP: 21/02340-0 - Otimização topológica de selos labirintos considerando escoamento turbulento e interação fluido-estrutura com variáveis binárias
• Beneficiário: Eduardo Moscatelli de Souza
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 22/14475-0 - Desenvolvimento e validação de modelos computacionais avançados para células a combustível
• Beneficiário: Luís Fernando Nogueira de Sá
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado