Speaker
Description
Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can become challenging. In this work, we propose an isogeometric approach to topology optimization driven by topological derivatives. The combination of a level-set method together with an immersed isogeometric framework allows seamless geometry updates without the necessity of remeshing. Topological derivatives provide topological modifications without the need to define initial holes [1, 2]. This approach is implemented within an open-source isogeometric analysis code [3] and a quadrature library for implicitly defined geometries [4, 5]. We provide several numerical examples to demonstrate the effectiveness of the proposed approach.
References
[1] S. Amstutz and H. Andrä, Journal of Computational Physics 216(8), 573–588 (2006).
[2] P. Gangl, Computer Methods in Applied Mechanics and Engineering 366(7) (2020).
[3] R. Vázquez, Computers and Mathematics with Applications 72(8), 523–554 (2016).
[4] R. I. Saye, SIAM Journal on Scientific Computing 37, A993–A1019 (2015).
[5] R. I. Saye, Journal of Computational Physics 448(1) (2022).
