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Variational approach to relaxed topological optimization: closed form solutions for structural problems in a sequential pseudo-time framework

Author
Oliver, J.; Yago, D.; Cante, J.C.; Lloberas-Valls, O.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2019-10
Volume
355
First page
779
Last page
819
DOI
10.1016/j.cma.2019.06.038
Project funding
CATALOG
Computational design of Acoustic and Mechanical Metamaterials
Repository
http://hdl.handle.net/2117/166068 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0045782519303810 Open in new window
Abstract
The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a non-smoothed characteristic function field as a topological design variable, (c) the consistent derivation of a relaxed topological derivative whose determination is simple, general and efficient, (d) formulation of the overall increasing cost function topological sensitiv...
Citation
Oliver, J. [et al.]. Variational approach to relaxed topological optimization: closed form solutions for structural problems in a sequential pseudo-time framework. "Computer methods in applied mechanics and engineering", Octubre 2019, vol. 355, p. 779-819.
Keywords
Closed-form solutions, Pseudo-time sequential analysis, Structural topological optimization, Topological optimization, Variational approach
Group of research
(MC)2 - UPC Computational continuum mechanics
RMEE - Strength of Materials and Structural Engineering Research Group

Participants