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Isogeometric Analysis for the Arbitrary AFG Microbeam with Two-Phase Nonlocal Stress-Driven Model

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Abstract

Scale effects play critical roles in the mechanical responses of microstructures. An isogeometric analysis was developed here to investigate the mechanical responses of an axially functionally graded microbeam. The Euler–Bernoulli beam model was utilized, and size effects in the structure were modeled with a stress-driven two-phase local/nonlocal integral constitution. The governing equation of microstructures was given in an equivalent differential form with two additional constitutive boundary conditions. The framework was verified and utilized to analyze the microbeam’s static and dynamic mechanical responses. The present work showed great potential for modeling various types of functionally graded microstructures.

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Acknowledgements

The authors are grateful for the support of the present work from the National Natural Science Foundation of China (12172169, 12202135, and 12272724). The work is also supported by the Fundamental Research Funds for the Central Universities from Hohai University (423142).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hohai University, Nanjing, 211100, China

    Pei-Liang Bian, Zhaowei Liu & Tiantang Yu

  2. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Hai Qing

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PB involved in methodology, software, investigation, writing-original draft. ZL took part in methodology, software. HQ involved in review & editing, supervision, funding. TY took part in review & editing, supervision.

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Correspondence to Hai Qing.

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Bian, PL., Liu, Z., Qing, H. et al. Isogeometric Analysis for the Arbitrary AFG Microbeam with Two-Phase Nonlocal Stress-Driven Model. Acta Mech. Solida Sin. 37, 341–360 (2024). https://doi.org/10.1007/s10338-024-00467-7

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