Analysis of gold micro-beams with modified strain gradient theory

Date

2017-07-01

Author

Dal, Hüsnü

Metadata

Show full item record

Item Usage Stats

144
views

0
downloads

Micro-beams are building blocks for many micro- and nano-electro-mechanical systems (MEMS/NEMS) and cannot accurately be modeled by classical continuum theories due to significant size effects at the length scales associated with these structures. Size effects can be taken into account by the so-called higher-order continuum theories. In this study, Euler-Bernoulli microbeams are analyzed with the Modified Strain Gradient Theory (MSGT), which extends the classical local continuum theories of grade one with the introduction of three additional length scale parameters. In this contribution, finite element implementation is briefly demonstrated by using Galerkin discretization techniques for Euler-Bernoulli beams. The size effect for gold-micro beams is demonstrated and the length scale parameters of gold micro-beams for MSGT are identified from the existing experimental data from literature for the first time. As a novel aspect, significant size effect is demonstrated for the length-scales associated with the state of the art gold micro-beam structures developed for MEMS and NEMS applications, which reveals the necessity of the use of higher-order theories at these length scales.

Subject Keywords

Gold micro-beams, Modified strain gradient theory, Higher-order elasticity, Size effect, MEMS / NEMS devices

URI

https://hdl.handle.net/11511/83763
https://dergipark.org.tr/tr/pub/aubtda/issue/30003/273867
https://dergipark.org.tr/tr/pub/aubtda/issue/30003/273867

Journal

Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik

DOI

https://doi.org/10.18038/aubtda.273867

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Analysis of Gold Microbeams with Higher Order Continuum Theories Kandaz, Murat; Dal, Hüsnü; Ünlü, Mehmet (null; 2017-03-10) Microbeams are building blocks for many micro and nanostructures as well as microelectromechanical systems (MEMS) and cannot accurately be modelled by classical continuum theories due to size effects due to their micro-scale. These size effects can be taken into account by the so-called higher order continuum theories. Modified Strain Gradient Theory (MSGT) and Modified Couple Stress Theory (MCST) are two commonly used theories, which extend the classical local continuum theories of grade one with the intro...
A comparative study of the electronic properties of aluminum nitride compounds Mohammad, Rezek; Katırcıoğlu, Şenay (2016-01-01) Electronic properties of aluminum nitride in wurtzite, zinc-blende, and rock-salt phases are investigated by a full potential-linearized augmented plane waves method based on density functional theory within standard local density approximation and its four improved versions. Local density approximation corrected by the generalized gradient functional of Perdew-Wang-Engel-Vosko is found to be more successful than the other generalized gradient functional approximations considered in this work for providing ...
Investigation of microstructure inhomogeneity in SiCp-reinforced aluminum matrix composites Gacsi, Zoltan; Gür, Cemil Hakan; Makszimus, Andrea; Pieczonka, Tadeusz (2007-01-01) The type, volume fraction, size, shape and arrangement of embedded particles influence the mechanical properties of the particle reinforced metal matrix composites. This presents the investigation of the SiC particle and porosity distributions in various aluminum matrix composites produced by cold- and hot-pressing. The inicrostructures were characterized by optical microscopy and stereological parameters. SiC and porosity volume fractions, and the anisotropy distribution function were measured to establish...
Evaluation of mechanical properties of Bi12SiO20 sillenite using first principles and nanoindentation Isik, M.; Sürücü, Gökhan; Gencer, A.; Hasanlı, Nızamı (2021-08-01) The mechanical and anisotropic elastic properties of Bi12SiO20 (BSO) were investigated using density functional theory (DFT) calculations and nanoindentation. The calculated and experimentally observed XRD patterns of the compound were reported and the crystal structure of the BSO was determined to be cubic with the lattice constant of a = 1.025 nm. The second-order elastic constants and related polycrystalline elastic moduli (e.g. shear modulus, Young's modulus, Poisson's ratio, linear compressibility and ...
Measurement of the transverse momentum spectra of weak vector bosons produced in proton-proton collisions at root s=8TeV Khachatryan, V.; et. al. (Springer Science and Business Media LLC, 2017-02-01) The transverse momentum spectra of weak vector bosons are measured in the CMS experiment at the LHC. The measurement uses a sample of proton-proton collisions at root s = 8TeV, collected during a special low-luminosity running that corresponds to an integrated luminosity of 18: 4 +/- 0: 5 pb(-1). The production of W bosons is studied in both electron and muon decay modes, while the production of Z bosons is studied using only the dimuon decay channel. The ratios of W- to W+ and Z to W di ff erential cross s...

Citation Formats

H. Dal, “Analysis of gold micro-beams with modified strain gradient theory,” Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik, pp. 663–681, 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/83763.