东南大学学报（英文版）2020，Vol.36Issue(2)：170-180,11.DOI:10.3969/j.issn.1003-7985.2020.02.007
考虑泊松效应的黏弹性轴向功能梯度Timoshenko微梁的尺寸依赖行为
Size-dependent behaviors of viscoelastic axially functionally graded Timoshenko micro-beam considering Poisson effects
摘要
Abstract
A size-dependent continuum-based model is developed for the functionally graded (FG) Timoshenko micro-beams with viscoelastic properties,in which material parameters vary according to the power law along its axial direction.The size effect is incorporated by employing the modified couple stress theory and Kelvin-Voigt viscoelastic model,so that viscous components are included in the stress and the deviatoric segments of the symmetric couple stress tensors.The components of strain,curvature,stress and couple stress are formulated by combining them with the Timoshenko beam theory.Based on the Hamilton principle,the governing differential equations and boundary conditions for the micro-beam are expressed with arbitrary beam section shape and arbitrary type of loads.The size effect,FG effect,Poisson effect,and the influence of the beam section shape on the mechanical behaviors of viscoelastic FG micro-beams are investigated by taking the simply supported micro-beam subjected to point load as an example.Results show that the size effect on deflection,normal stress and couple stress are obvious when the size of the micro-beam is small enough,and the FG effects are obvious when the size of the micro-beam is large enough.Moreover,the Poisson ratio influences the size effect significantly and the beam section shape is also an important factor influencing the mechanical behavior of the micro-beam.关键词
黏弹性功能梯度微梁/尺寸依赖行为/尺寸效应/功能梯度效应/泊松效应Key words
viscoelastic functionally graded micro-beam/size-dependent behaviors/size effect/functionally graded effect/Poisson effect space分类
信息技术与安全科学引用本文复制引用
周博,郑雪瑶,康泽天,薛世锋..考虑泊松效应的黏弹性轴向功能梯度Timoshenko微梁的尺寸依赖行为[J].东南大学学报（英文版）,2020,36(2):170-180,11.基金项目
The National Science and Technology Major Project(No.2017ZX05009-003),the National Key Research and Development Program of China (No.2017YFC0307604),the Talent Foundation of China University of Petroleum (No.Y1215042). （No.2017ZX05009-003）
