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

作　　者：Pei-Liang Bian Zhaowei Liu Hai Qing Tiantang Yu 

机构地区：[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

出　　处：《Acta Mechanica Solida Sinica》2024年第2期341-360,共20页固体力学学报（英文版）

基　　金：support of the present work from the National Natural Science Foundation of China(12172169,12202135,and 12272724);supported by the Fundamental Research Funds for the Central Universities from Hohai University(423142).

摘　　要：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.

关 键 词：Isogeometric analysis Size effect Functionally graded material Nonlocal theory Euler-Bernoulli beam 

分 类 号：O17[理学—数学]