Topology optimization design for buckling analysis related to the size effect

Author:

Gan Ning12ORCID,Wang Qianxuan3

Affiliation:

1. School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA

2. School of Materials and Energy, Guangdong University of Technology, Guangdong, China

3. School of Rail Transportation, Wuyi University, Jiangmen, China

Abstract

Owing to the excellent performance of microstructures or nanomaterials with well-designed topological configuration, the characteristic scale of structural design is gradually shifting from macroscopic to nanoscale or microscale structural design. However, the size effect that emerges from the small-scale structures may not be explained effectively with the hypothesis of classical mechanics owing to the lack of microscopic parameters in the classical constitutive model. In addition, slender beams within such small-scale structures are prone to buckling failure, which puts forward additional requirements for the stability design of the structure except for the overall compliance of the structure. Therefore, a topology optimization framework combining the modified couple stress theory with the solid isotropic material penalization (SIMP) model is constructed to illustrate the size effect on topology optimization. Numerical results show that the size effect affects the compliance, buckling performance, and topological configurations of the evolutionary structures.

Funder

guangxi innovation-driven development project

guangdong province for science and technology innovative young talents

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

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