Collective buckling of nonuniform nanobeams interacting through an elastic substrate

Li, Z.; Feng, Kan; Yang, Jiashi; Tan, Li; Lin, Haiying

doi:10.1007/s00707-009-0182-3

Cited by 5 publications

(3 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2). Although the patterns of high order buckling modes is more complicated than that of the first order buckling mode, the nature of their deformation is identical [29]. To investigate the underlying mechanisms of post-buckling, we focus on the most stable mode, i.e., the first order mode.…”

Section: Models and Simulation Detailsmentioning

confidence: 99%

“…Moreover, there may exist multiple buckling modes under an identical loading, which is also one issue in post-buckling analysis [28]. Although the patterns of high order buckling modes of nanobeam are more complicated than that of the first order buckling mode, the nature of their deformation is identical [29]. Therefore, understanding the first order buckling is of great importance [30].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression

Guo¹,

Xu²,

Jiang³

et al. 2020

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

Both of Buckling and post-buckling are fundamental problems of geometric nonlinearity in solid mechanics. With the rapid development of nanotechnology in recent years, buckling behaviors in nanobeams receive more attention due to its applications in sensors, actuators, transistors, probes, and resonators in nanoelectromechanical systems (NEMS) and biotechnology. In this work, buckling and post-buckling of copper nanobeam under uniaxial compression are investigated with theoretical analysis and atomistic simulations. Different cross sections are explored for the consideration of surface effects. To avoid complicated high order buckling modes, a stressbased simplified model is proposed to analyze the critical strain for buckling, maximum deflection, and nominal failure strain for post-buckling. Surface effects should be considered regarding critical buckling strain and the maximum post-buckling deflection. The critical strain increases with increasing nanobeam cross section, while the maximum deflection increases with increasing loading strain but stays nearly the same for different cross sections, and the underlying mechanisms are revealed by our model. The maximum deflection is also influenced by surface effects. The nominal failure strains are captured by our simulations, and they are in good agreement with the simplified model. Our results can be used for helping design strain gauge sensors and nanodevices with self-detecting ability.

show abstract

Section: Models and Simulation Detailsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression

Guo¹,

Xu²,

Jiang³

et al. 2020

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…There are strong needs to study the effects of microbeams on vibrations of structures or wave propagation in structures due to the design of resonators, sensors and actuators. Li et al discussed the collective buckling of nonuniform nanobeams interacting through an elastic substrate [7]. Lin et al considered the effects of surface deformation on the collective buckling of an array of rigid beams on an elastic substrate [8].…”

mentioning

confidence: 99%

Properties of SH-SAWs in Layered Piezomagnetic/Piezoelectric Structures Covered in a Microbeam Array

Jin¹,

Ding²,

Fu³

et al. 2015

Proceedings of the 2015 International Conference on Education, Management, Information and Medicine

View full text Add to dashboard Cite

Abstract. This paper investigates the shear horizontal surface acoustic wave (SH-SAWs) propagating in layered piezomagnetic/piezoelectric structures covered a microbeam array, which involves a thin piezomagnetic layer bonded perfectly to an unbounded piezoelectric substrate. The beams are modeled by the Euler-Bernoulli theories when they are bending during the piezomagnetic/piezoelectric structures in shear motion. The explicit formulations of SH-SAWs dispersion relations in such layered structure with consideration of magnetoelectrically open and shorted cases are derived. The effects of the microbeam array on the phase velocity are analyzed. The numerical results are presented and discussed. From the results, we can find that the effects of microbeams on the properties of the SH-SAWs are remarkable. The phase velocity decrease with the non-dimensional wave number and increase with the number of microbeams and the thickness of piezomagnetic layer. The analytical method and the results in the paper could be useful to the design of the chemical sensors of magnetoelectric materials. IntroductionIt is well known that the composite materials consisting of piezoelectric (PE) and piezomagnetic (PM) have the ability to convert energy between magnetic and electric fields which is not present in single-phase piezoelectric or piezomagnetic materials [1][2]. For this reason, PM-PE composites are potential candidates for magnetic sensors, transducers and microwave devices, e.g. delay lines, magnetic field probes, damage detectors, medical ultrasonic imaging, and resonators, etc. These applications are done with wave propagations and vibrations in PM-PE composites, and so their dynamic behavior is the first concern in design as well as in performance. A number of investigations have been reported about the wave propagation problems in such composites [3][4].We all known a large number micro-or nano-scale beam arrays have been made by using different techniques due to the extensive effort on micro-and nano-technologies [5][6]. These new structures have great potentials for new devices such as efficient microneedles, dynamic tuning of surface wetting, microelectromechanical systems (MEMS) actuators and resonators, etc. There are strong needs to study the effects of microbeams on vibrations of structures or wave propagation in structures due to the design of resonators, sensors and actuators. Li et al discussed the collective buckling of nonuniform nanobeams interacting through an elastic substrate [7]. Lin et al considered the effects of surface deformation on the collective buckling of an array of rigid beams on an elastic substrate [8]. Liu et al investigated shear vibration of a rotated Y-cut quartz crystal plate carrying an array of microbeams with their bottoms fixed to the top surface of the plate [9]. From the paper, we can find that the plate was modeled by the theory of anisotropic elasticity and the beams were modeled by the Euler-Bernoulli theory for beam bending, and a frequency equation that determines the resonan...

show abstract

Collective buckling of an elastic beam array on an elastic substrate for applications in soft lithography

2010

View full text Add to dashboard Cite

Collective buckling of nonuniform nanobeams interacting through an elastic substrate

Cited by 5 publications

References 15 publications

A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression

A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression

Properties of SH-SAWs in Layered Piezomagnetic/Piezoelectric Structures Covered in a Microbeam Array

Collective buckling of an elastic beam array on an elastic substrate for applications in soft lithography

Contact Info

Product

Resources

About