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

Pei-Liang Bian ¹Zhaowei Liu ¹Hai Qing ²Tiantang Yu¹

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作者信息

1. Department of Engineering Mechanics,Hohai University,Nanjing 211100,China
2. State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
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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.

Key words

Isogeometric analysis/Size effect/Functionally graded material/Nonlocal theory/Euler-Bernoulli beam

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基金项目

present work from the National Natural Science Foundation of China(12172169)

present work from the National Natural Science Foundation of China(12202135)

present work from the National Natural Science Foundation of China(12272724)

Fundamental Research Funds for the Central Universities from Hohai University(423142)

出版年

2024

固体力学学报(英文版)

中国力学学会

固体力学学报(英文版)

影响因子：0.214

ISSN：0894-9166

参考文献量81

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