Consideration of spatial variation of the length scale parameter in static and dynamic analyses of functionally graded annular and circular micro-plates

Date

2015-09-01

Author

Eshraghi, Iman
Dağ, Serkan
Soltani, Nasser

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

43
views

0
downloads

This article introduces new methods for static and free vibration analyses of functionally graded annular and circular micro-plates, which can take into account spatial variation of the length scale parameter. The underlying higher order continuum theory behind the proposed approaches is the modified couple stress theory. A unified way of expressing the displacement field is adopted so as to produce numerical results for three different plate theories, which are Kirchhoff plate theory (KPT), Mindlin plate theory (MPT), and third-order shear deformation theory (TSDT). Governing partial differential equations and corresponding boundary conditions are obtained following the variational approach and the Hamilton's principle. Derived systems of differential equations are solved numerically by utilizing the differential quadrature method (DQM). Comparisons to the results available in the literature demonstrate the high level of accuracy of the numerical results generated through the developed methods. Extensive analyses are presented in order to illustrate the influences of various geometric and material parameters upon static deformation profiles, stresses, and natural vibration frequencies. In particular, the length scale parameter ratio -which defines the length scale parameter variation profile-is shown to possess a profound impact on both static and dynamic behaviors of functionally graded annular and circular micro-plates.

Subject Keywords

Plates, Vibration, Analytical modelling, Micro-mechanics, Functionally graded materials

URI

https://hdl.handle.net/11511/37800

Journal

COMPOSITES PART B-ENGINEERING

DOI

https://doi.org/10.1016/j.compositesb.2015.03.095

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Consideration of spatial variation of the friction coefficient in contact mechanics analysis of laterally graded materials Dağ, Serkan (2016-01-01) This paper presents a new analytical approach for sliding contact analysis of laterally graded materials, which allows taking into account the spatial variation of the friction coefficient. The method is developed by considering a sliding frictional contact problem between a laterally graded elastic medium and a rigid flat punch. Governing partial differential equations entailing the displacement components are derived in accordance with the theory of plane elasticity. General solutions are determined and b...
Investigation of effect of design and operating parameters on acoustophoretic particle separation via 3D device-level simulations Sahin, Mehmet Akif; ÇETİN, BARBAROS; Özer, Mehmet Bülent (Springer Science and Business Media LLC, 2019-12-16) In the present study, a 3D device-level numerical model is implemented via finite element method to assess the effects of design and operating parameters on the separation performance of a microscale acoustofluidic device. Elastodynamic equations together with electromechanical coupling at the piezoelectric actuators for the stress field within the solid parts, Helmholtz equation for the acoustic field within fluid, and Navier-Stokes equations for the fluid flow are coupled for the simulations. Once the zer...
Simulation of dynamic crack growth using the generalized interpolation material point (GIMP) method Daphalapurkar, Nitin P.; Lu, Hongbing; Çöker, Demirkan; Komanduri, Ranga (Springer Science and Business Media LLC, 2007-01-01) Dynamic crack growth is simulated by implementing a cohesive zone model in the generalized interpolation material point (GIMP) method. Multiple velocity fields are used in GIMP to enable handling of discrete discontinuity on either side of the interface. Multilevel refinement is adopted in the region around the crack-tip to resolve higher strain gradients. Numerical simulations of crack growth in a homogeneous elastic solid under mode-II plane strain conditions are conducted with the crack propagating along...
Guided stochastic search technique for discrete sizing optimization of steel trusses: A design-driven heuristic approach Azad, S. Kazemzadeh; Hasançebi, Oğuzhan; Saka, M. P. (Elsevier BV, 2014-04-01) This study presents a design-driven heuristic approach named guided stochastic search (GSS) technique for discrete sizing optimization of steel trusses. The method works on the basis of guiding the optimization process using the well-known principle of virtual work as well as the information collected during the structural analysis and design stages. The performance of the proposed technique is investigated through a benchmark truss instance as well as four real-size trusses sized for minimum weight accordi...
Modelling of graded rectangular micro-plates with variable length scale parameters Aghazadeh, Reza; Dağ, Serkan; Ciğeroğlu, Ender (2018-03-10) This article presents strain gradient elasticity-based procedures for static bending, free vibration and buckling analyses of functionally graded rectangular micro-plates. The developed method allows consideration of smooth spatial variations of length scale parameters of strain gradient elasticity. Governing partial differential equations and boundary conditions are derived by following the variational approach and applying Hamilton's principle. Displacement field is expressed in a unified way to produce n...

Citation Formats

I. Eshraghi, S. Dağ, and N. Soltani, “Consideration of spatial variation of the length scale parameter in static and dynamic analyses of functionally graded annular and circular micro-plates,” COMPOSITES PART B-ENGINEERING, pp. 338–348, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37800.