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An Unconditionally Energy Stable Gradient Flow for Phase Field Modelling of Structural Topology Optimization in Geometrically Nonlinear Elasticity

Published Online: 2025-08-12

Published Print: 2025-09

Authors

Li, Jiajie

Yang, Hui

Zhu, Shengfeng https://orcid.org/0000-0002-4626-9983
Funding

Funding for this research was provided by:

National Natural Science Foundation of China (12471377)

China Postdoctoral Science Foundation (2024M751947)

Postdoctoral Fellowship Program (Grade B) of China Postdoctoral Science Foundation (GZB20240436, 12401534)

Science and Technology Commission of Shanghai Municipality (22DZ2229014)
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Text and Data Mining valid from 2025-08-12

Version of Record valid from 2025-08-12
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Article History

Received: 19 February 2025

Revised: 23 July 2025

Accepted: 1 August 2025

First Online: 12 August 2025

Declarations

:

: The authors declare that they have no conflicts of interest.

: This study did not involve human participants, animal experiments, or sensitive data. No ethical approval or informed consent was required.

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