Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory

doi:10.1016/j.euromechsol.2023.105029

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory
	Ye X(叶璇); Ma HS(马寒松); Liu XM(刘小明); Wei, Yueguang
刊名	EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
	2023
卷号	100 页码:105029
关键词	Bilayer beam Thermal actuation Size and shear effect Modified couple stress theory
ISSN号	0997-7538
DOI	10.1016/j.euromechsol.2023.105029
英文摘要	The bilayer microbeam can be assigned with two different thermal expansion coefficients, so that the microbeam can be used as a thermal actuator, which can provide bending with thermal loading. As a microdevice, the size effect plays an important role. In addition, the length height ratio L/h of the microbeam has to be smaller than 20, to provide sufficient support. With this ratio, the shear effect of the beam can not be ignored. In this work, considering both the size and shear effects, we modified the couple stress and Timoshenko beam theories to study the thermal bending of bilayer microbeams. By using the principle of minimum potential energy, we derived the higher-order governing equations under thermal load. Then with specified boundary conditions, we adopted the differential quadrature method to solve the governing equations. Finally, using a bilayer microbeam made of aluminum and polysilicon as an example, we verified effects of transverse shear and beam size. Results show that the size effect on beam stiffness is significant when the beam height is on the order of equivalent length scale (leq). Moreover, considering the transverse shear effect indicates that the lateral deflection of the Timoshenko beam depends on the ratio L/h: as L/h increases, the tip deflection increases and converges to the classical solution. Specifically, for a Timoshenko beam with h/leq = 15, the change in deflection can reach 44.6% when L/h is increased from 5 to 25.
分类号	二类/Q1
WOS研究方向	Mechanics
语种	英语
WOS记录号	WOS:001053082100001
资助机构	National Natural Science Foundation of China [12022210, 12032001, 11890681, 11902311, 2018022] ; Youth Innovation Promotion Association CAS [2020-JCJQ-ZD-254] ; National Key Research Development Program of China ; [12272203]
其他责任者	Liu, XM (corresponding author), Chinese Acad Sci, LNM Inst Mech, Beijing 100190, Peoples R China.
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/92658]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.{Wei Yueguang} Peking Univ Coll Engn Beijing 100871 Peoples R China 2.{Liu Xiaoming} UCAS Sch Engn Sci Beijing 100049 Peoples R China 3.{Ye Xuan, Ma Hansong, Liu Xiaoming} Chinese Acad Sci LNM Inst Mech Beijing 100190 Peoples R China 4.{Ye Xuan} Tsinghua Univ Inst Nucl & New Energy Technol Beijing 100084 Peoples R China
推荐引用方式 GB/T 7714	Ye X,Ma HS,Liu XM,et al. Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2023,100:105029.
APA	叶璇,马寒松,刘小明,&Wei, Yueguang.(2023).Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,100,105029.
MLA	叶璇,et al."Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 100(2023):105029.