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Level set topology optimization for design-dependent pressure loads using the reproducing kernel particle method

Neofytou, Andreas, Picelli, Renato, Huang, Tsung-Hui, Chen, Jiun-Shyan and Kim, H. Alicia 2020. Level set topology optimization for design-dependent pressure loads using the reproducing kernel particle method. Structural and Multidisciplinary Optimization 61 , pp. 1805-1820. 10.1007/s00158-020-02549-9

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Abstract

This paper presents a level set topology optimization method in combination with the reproducing kernel particle method (RKPM) for the design of structures subjected to design-dependent pressure loads. RKPM allows for arbitrary particle placement in discretization and approximation of unknowns. This attractive property in combination with the implicit boundary representation given by the level set method provides an effective framework to handle the design-dependent loads by moving the particles on the pressure boundary without the need of remeshing or special numerical treatments. Moreover, the reproducing kernel (RK) smooth approximation allows for the Young’s modulus to be interpolated using the RK shape functions. This is another advantage of the proposed method as it leads to a smooth Young’s modulus distribution for smooth boundary sensitivity calculation which yields a better convergence. Numerical results show good agreement with those in the literature.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Springer Verlag
ISSN: 1615-147X
Funders: EPSRC
Date of First Compliant Deposit: 18 May 2020
Date of Acceptance: 13 February 2020
Last Modified: 31 Jul 2020 15:48
URI: http://orca.cf.ac.uk/id/eprint/131687

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