Functionally graded curved Timoshenko microbeams: A numerical study using IGA and modified couple stress theory

Published on Dec 15, 2020in Composite Structures5.138
· DOI :10.1016/J.COMPSTRUCT.2020.112841
Huifeng Hu3
Estimated H-index: 3
(Hohai University),
Tiantang Yu32
Estimated H-index: 32
(Hohai University)
+ 1 AuthorsTinh Quoc Bui54
Estimated H-index: 54
(TITech: Tokyo Institute of Technology)
Source
Abstract
Abstract Studies on functionally graded (FG) curved microbeam structures are rather rare in the literature, and we thus present an effective computational approach on the basic combination of isogeometric analysis (IGA) and modified couple stress theory (MCST) for mechanical behavior analysis of such FG curved microbeams. The proposed method can cope with simultaneous complexities in material properties and geometries of the FG curved microbeams. The material properties of microbeams vary continuously along the thickness direction. The non-uniform rational B-spline (NURBS) basis functions are used to describe exactly geometries of the curved beams and displacement approximation. The MCST is adopted to capture the small-scale effects. Several examples of static bending and free vibration behaviors are presented to demonstrate the effectiveness and accuracy of the developed method. The effects of some factors (e.g., material gradient, size effect, boundary conditions, curvature, and aspect ratio of the beams) on mechanical behaviors of FG curved microbeams are investigated. The numerical results reveal that the small-scale effects decrease the deflection and increase the natural frequency because of increasing the stiffness.
📖 Papers frequently viewed together
334 Citations
35 Citations
7 Citations
References54
Newest
#1Ali Shariati (Ton Duc Thang University)H-Index: 6
#2Aria Ghabussi (IAU: Islamic Azad University)H-Index: 11
Last. Maryam Safa (Duy Tan University)H-Index: 17
view all 7 authors...
Abstract This is a fundamental study on the nonlinear vibrations considering large amplitude in multi-sized hybrid Nano-composites (MHC) disk (MHCD) relying on nonlinear elastic media and located in an environment with gradually changed temperature feature. Carbon fibers (CF) or carbon nanotubes (CNTs) in the macro or nano sizes respectively are responsible for reinforcing the matrix. For prediction of the efficiency of the properties MHCD's modified Halpin-Tsai theory has been presented. The st...
76 CitationsSource
#1Hakima MatoukH-Index: 1
Last. Kouider Halim BenrahouH-Index: 18
view all 7 authors...
In the current research, the free vibrational behavior of the FG nano-beams integrated in the hygro-thermal environment and reposed on the elastic foundation is investigated using a novel integral Timoshenko beam theory (ITBT). The current model has only three variables unknown and requires the introduction of the shear correction factor because her uniformed variation of the shear stress through the thickness. The effective properties of the nano-beam vary according to power-law and symmetric s...
14 CitationsSource
#1Muzamal HussainH-Index: 10
Last. Abdelouahed Tounsi (SIDI)H-Index: 100
view all 4 authors...
In this paper, the shell material has been taken as functionally graded material and their material quantity is locatedby the exponential volume fraction law. Moreover, the impact of ring supports around the shell circumference has beenexamined for their various positions along the shell axial length. These rings support restraints the radial displacement in thetransverse direction. While the axial modal deformation functions have been estimated by characteristic beam functions andnature of mate...
12 CitationsSource
#1Xin Chen (Hohai University)H-Index: 1
#2Jiming Gu (Hohai University)H-Index: 7
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 5 authors...
Abstract We present in this paper an efficient computational approach based on an adaptive extended isogeometric analysis (XIGA) for simulation of arbitrary holes in orthotropic materials. The interfaces of holes are described by multiple level set functions so that the developed XIGA can capture the hole geometry without considering its interfaces. The approach is further enhanced by using the locally refined (LR) B-spline basis functions, which dominate over B-spline or non-uniform rational B-...
11 CitationsSource
#1Mergen H. Ghayesh (University of Adelaide)H-Index: 67
Abstract A Timoshenko functionally graded (TFG) imperfect microscale beam is considered and the coupled viscoelastic mechanics is analysed in a nonlinear regime. Based on the Timoshenko beam theory, incorporating geometric imperfections, the Kelvin-Voigt method is used for internal viscosity, the rotary inertia is automatically generated due to the Timoshenko theory, and the Mari-Tanaka scheme is used for the mixture. After utilising the constitutive stress/strain relations, Hamilton’s principle...
44 CitationsSource
#1Jiming Gu (Hohai University)H-Index: 7
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 6 authors...
Abstract This paper aims at investigating fracture behavior of single and multiple cracks in two-dimensional solids by an adaptive extended isogeometric analysis (XIGA) based on locally refined (LR) B-splines. The adaptive XIGA is capable of modeling cracks without considering the location of crack faces due to the local enrichment technique based on partition-of-unity concept. The XIGA approximation is locally enriched by Heaviside function and crack tip enrichment functions to capture the disc...
15 CitationsSource
#1Behrouz Karami (IAU: Islamic Azad University)H-Index: 29
#2Davood Shahsavari (IAU: Islamic Azad University)H-Index: 19
Last. Li Li (HUST: Huazhong University of Science and Technology)H-Index: 32
view all 4 authors...
Abstract The influence of various homogenization models is studied on the free vibration behavior of a functionally graded material (FGM) curved microbeam which is modeled using the modified strain gradient theory of elasticity as well as the first-order shear deformation theory. Different homogenization models (such as Voigt, Reuss, Hashin-Shtrikman bounds, and cubic local representative volume elements (LRVE) schemes) are used to predict the effective material properties of a two-phase particl...
43 CitationsSource
#1Tiantang Yu (Hohai University)H-Index: 32
#2Huifeng Hu (Hohai University)H-Index: 3
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 4 authors...
Abstract A novel and effective computational approach within the context of isogeometric analysis (IGA) is developed for analyzing size-dependent mechanical behaviors of functionally graded (FG) microbeams. To capture the size effects, an extension of quasi-3D theory is established to integrate with the modified couple stress theory. The nonuniform rational B-spline (NURBS) basis functions are employed and can directly meet the first-order derivative demand of the quasi-3D theory, where four var...
42 CitationsSource
#1Wei Zhang (SCAU: South China Agricultural University)H-Index: 7
#2Peitong Cong (SCAU: South China Agricultural University)H-Index: 2
Last. Xichun Jia (SCAU: South China Agricultural University)H-Index: 2
view all 5 authors...
Understanding the fluid flow through rock masses, which commonly consist of rock matrix and fractures, is a fundamental issue in many application areas of rock engineering. As the equivalent porous medium approach is the dominant approach for engineering applications, it is of great significance to estimate the equivalent permeability tensor of rock masses. This study aims to develop a novel numerical approach to estimate the equivalent permeability tensor for fractured porous rock masses.,The r...
24 CitationsSource
#1Peng Hao (DUT: Dalian University of Technology)H-Index: 30
#2Yutian Wang (DUT: Dalian University of Technology)H-Index: 8
Last. Gang Li (DUT: Dalian University of Technology)H-Index: 21
view all 6 authors...
Abstract Reliability-based design optimization (RBDO) is a powerful tool to handle the influence of various uncertainties during optimization. However, unbearable computation cost is one of the largest barriers for its application, especially for the finite element method (FEM)-based RBDO. In this paper, an efficient and accurate RBDO framework is established based on isogeometric analysis (IGA) for complex engineering problems. Furthermore, an enhanced step length adjustment (ESLA) iterative al...
42 CitationsSource
Cited By6
Newest
#1Huifeng Hu (Hohai University)H-Index: 3
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 4 authors...
Abstract An effective computational approach that can simultaneously deal with several complexities in geometries, material properties, and size effects is of non-trivial yet important tasks for the design and optimization of device components in micro- and nano-electromechanical systems. This study is devoted to the development of such an effective computational approach, which is formed by integrating the modified couple stress theory into isogeometric analysis framework. The proposed approach...
Source
#1Alaa A. Abdelrahman (Zagazig University)H-Index: 9
#2Mohamed Ashry (Zagazig University)
Last. Waleed S. Abdallah (Zagazig University)
view all 0 authors...
This article presents a different polynomial interpolation function based dynamic finite element model to study and analyze the mechanical behavior of bidirectional functionally graded beams under moving load. To improve the mechanical behavior of the functionally graded beam, material properties are assumed to be symmetrically distributed throughout the axial and transverse directions. The first order shear deformation theory is employed to incorporate the transverse shear strain. To overcome t...
Source
#1Mohamed-Ouejdi Belarbi (University of Biskra)H-Index: 5
Last. Hicham Hirane (University of Biskra)H-Index: 3
view all 7 authors...
Abstract In this study, an efficient nonlocal finite element model is developed to investigate the bending and buckling behavior of functionally graded (FG) nanobeams. New two-node beam element with eight degrees of freedom is formulated based on the recently refined higher order shear deformation theory proposed by the authors. The present theory can provide an accurate parabolic distribution of transverse shear stress through the thickness direction satisfying the traction free boundary condit...
1 CitationsSource
#1Rajendran Selvamani (Karunya University)H-Index: 6
#2S. Mahesh (Karunya University)
Last. Farzad Ebrahimi (IKIU: Imam Khomeini International University)H-Index: 56
view all 3 authors...
This composition presents a multi-phase-lags thermos-elasticity model for the thermos-elastic wave propagation reaction of a composite hollow circular cylinder with the interface layer LEMV/CFRP (L...
Source
#1Chunwei Zhang (Qingdao University)H-Index: 32
#1Chunwei Zhang (Qingdao University)
Last. Tamer A. Sebaey (Prince Sultan University)H-Index: 18
view all 8 authors...
Motivated by progressive sandwich structures’ usage due to their high strength to weight ratio in different industries, the current paper aimed at evaluating static and dynamic behaviors of three-layered cylinders including FG porous core and two graphene nanoplatelet (GPLs)-reinforced composite as face sheets. The whole sandwich cylinder rests on Pasternak substrate and it is also exposed to a longitudinal magnetic field. Epoxy has used as matrix and GPLs as the reinforcing phases for top and b...
Source
#1Ismail Esen (Karabük University)H-Index: 11
#2Cevat Özarpa (Karabük University)H-Index: 3
Last. Mohamed A. Eltaher (KAU: King Abdulaziz University)H-Index: 23
view all 3 authors...
Abstract A mathematical model is developed, though this article, to investigate a vibrational behaviour of functionally graded (FG) cracked microbeam rested on elastic foundation and exposed to thermal and magnetic fields. The model includes a size scale effect and temperature dependent material properties, for the first time. The crack is modelled as a rotating spring, that is connecting the two parts of the microbeam at the crack’s position. The equation of motion of the FG microbeam is obtain...
4 CitationsSource
#1Rabab A. Shanab (Zagazig University)H-Index: 4
#2Mohamed A. Attia (Zagazig University)H-Index: 14
In this study, the static bending, buckling, and free vibration behaviors of two-dimensional functionally graded (2D-FG) tapered micro/nanobeams are modelled and analyzed. For the first time, the n...
Source