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

doi:10.1016/j.euromechsol.2023.105029

IMECH-IR > 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
发表期刊	EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
	2023
卷号	100 页码:105029
ISSN	0997-7538
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.
关键词	Bilayer beam Thermal actuation Size and shear effect Modified couple stress theory
DOI	10.1016/j.euromechsol.2023.105029
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001053082100001
WOS研究方向	Mechanics
WOS类目	Mechanics
项目资助者	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]
论文分区	二类/Q1
力学所作者排名	1
RpAuthor	Liu, XM (corresponding author), Chinese Acad Sci, LNM Inst Mech, Beijing 100190, Peoples R China.
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/92658
专题	非线性力学国家重点实验室
作者单位	1.{Ye Xuan} Tsinghua Univ Inst Nucl & New Energy Technol Beijing 100084 Peoples R China 2.{Ye Xuan, Ma Hansong, Liu Xiaoming} Chinese Acad Sci LNM Inst Mech Beijing 100190 Peoples R China 3.{Liu Xiaoming} UCAS Sch Engn Sci Beijing 100049 Peoples R China 4.{Wei Yueguang} Peking Univ Coll Engn Beijing 100871 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.

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Jp2023Fa103.pdf（2255KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载