• Title/Summary/Keyword: uniform strain

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Nonlinear bending analysis of laminated composite stiffened plates

  • Patel, Shuvendu N.
    • Steel and Composite Structures
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    • v.17 no.6
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    • pp.867-890
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    • 2014
  • This paper deals with the geometric nonlinear bending analysis of laminated composite stiffened plates subjected to uniform transverse loading. The eight-noded degenerated shell element and three-noded degenerated curved beam element with five degrees of freedom per node are adopted in the present analysis to model the plate and stiffeners respectively. The Green-Lagrange strain displacement relationship is adopted and the total Lagrangian approach is taken in the formulation. The convergence study of the present formulation is carried out first and the results are compared with the results published in the literature. The stiffener element is reformulated taking the torsional rigidity in an efficient manner. The effects of lamination angle, depth of stiffener and number of layers, on the bending response of the composite stiffened plates are considered and the results are discussed.

Nonlinear cylindrical bending of functionally graded carbon nanotube-reinforced composite plates

  • Kaci, Abdelhakim;Tounsi, Abdelouahed;Bakhti, Karima;Adda Bedia, El Abbas
    • Steel and Composite Structures
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    • v.12 no.6
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    • pp.491-504
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    • 2012
  • In this paper, the nonlinear cylindrical bending of simply supported, functionally graded nanocomposite plates reinforced by single-walled carbon nanotubes (SWCNTs), is studied. The plates are subjected to uniform pressure loading in thermal environments and their geometric nonlinearity is introduced in the strain-displacement equations based on Von-Karman assumptions. The material properties of SWCNTs are assumed to be temperature-dependent and are obtained from molecular dynamics simulations. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTCRs) are assumed to be graded in the thickness direction, and are estimated through a micromechanical model. The governing equations are reduced to linear differential equation with nonlinear boundary conditions yielding a simple solution procedure. Numerical results are presented to show the effect of the material distribution on the deflections and stresses.

Analysis of Thermal Crown of Working Roll in Hot Strip Rolling (열간 압연하에서 작업롤의 Thermal Crown에 관한 연구)

  • Cho, Jin
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1451-1457
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    • 1992
  • In hot strip rolling, the thickness of strip cannot be retained uniform by several irregular parameters. It has been shown that the load distribution can affect only a small fraction of the excess strip crown, whereas the thermal effects of working roll are the major reason on large changes in the strip center crown during hot rolling. In this study, the temperature distribution of working roll is represented by fourier series expansion. The analytical solution of the resulting thermo-elasticity problem is obtained by love's strain function. The results which are compared with those of the finite element method show good agreements.

Reliability Test of Pd Nanogap-Based Hydrogen Sensors (Pd 나노갭 수소 센서의 신뢰성 연구)

  • Park, Seyoung;Kim, Wonkyung;Lee, Wooyoung
    • Journal of Sensor Science and Technology
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    • v.29 no.6
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    • pp.399-406
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    • 2020
  • Pd nanogap hydrogen sensors were developed using an elastomeric substrate and operated through an on-off mechanism. A 10 nm thick Pd thin film was formed on a polydimethylsiloxane (PDMS) substrate, and 50% of the physical strain was applied in the longitudinal direction to fabricated uniform nanogaps. The initial concentration of the hydrogen gas for the PDMS/Pd films was controlled, and subsequently, the on-off switching response was measured. We found that the average nanogap was less than 50 nm, and the Pd nanogap hydrogen sensors operated over a wide range of temperatures. In particular, the sensors work properly even at a very low temperature of -40℃ with a fast response time of 2 s. In addition, we have investigated the relative humidity and annealing effects.

Nano-Scale Surface Observation of Cyclically Deformed Copper and Cu-Al Single Crystals (반복변형된 Cu 및 Cu-Al 단결정 표면형상의 나노-스케일 관찰)

  • 최성종;이권용
    • Tribology and Lubricants
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    • v.16 no.5
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    • pp.389-394
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    • 2000
  • Scanning Probe Microscope (SPM) such as Scanning Tunneling Microscope (STM) and Atomic Force Microscope (AEM) was shown to be the powerful tool for nano-scale characterization of material surfaces. Using this technique, surface morphology of the cyclically deformed Cu or Cu-Al single crystal was observed. The surface became proportionately rough as the number of cycles increased, but after some number of cycles no further change was observed. Slip steps with the heights of 100 to 200 nm and the widths of 1000 to 2000 nm were prevailing at the stage. The slipped distance of one slip system at the surface was not uniform, and formation of the extrusions or intrusions was assumed to occur such place. By comparing the morphological change caused by crystallographic orientation, strain amplitude, number of cycles or stacking fault energy, some interesting results which help to clarify the basic mechanism of fatigue damage were obtained. Furthermore, applicability of the scanning tunneling microscopy to fatigue damage is discussed.

A Study on the Angular Distortion in Weldment6s using the Laminated Plate Theory (적층판 이론을 이용한 용접부 각 변형량 해석에 관한 연구)

  • 손광재;양영수;최병익
    • Journal of Welding and Joining
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    • v.17 no.2
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    • pp.91-96
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    • 1999
  • The problems of welding distortion in a welded structures are major concern in heavy industry. Weld-induced angular distortion's formula, composed weld parameter such as heat input and plate thickness, is developed analytically by the use of an elliptic cylindrical inclusion with an eigenstrain in an infinite laminated plate theory. The source of angular distortion in weldments is the plastic strains, which are caused by non-uniform temperature gradient. The distributions of the plastic strain corresponding eigenstrain are assumed by the use of Rosenthal's solution expressing thermal history. Comparison of calculated results with experimental data shows the accuracy and validity of the proposed method.

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Surface and flexoelectricity effects on size-dependent thermal stability analysis of smart piezoelectric nanoplates

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • v.67 no.2
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    • pp.143-153
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    • 2018
  • Thermal buckling of nonlocal flexoelectric nanoplates incorporating surface effects is analyzed for the first time. Coupling of strain gradients and electrical polarizations is introduced by flexoelectricity. It is assumed that flexoelectric nanoplate is subjected to uniform and linear temperature distributions. Long range interaction between atoms of nanoplate is modeled via nonlocal elasticity theory. The residual surface stresses which are usually neglected in modeling of flexoelectric nanoplates are incorporated into nonlocal elasticity to provide better understanding of the physic of problem. A Galerkin-based approach is implemented to solve the governing equations derived from Hamilton's principle are solved. The verification of obtained results is performed by comparing buckling loads of flexoelectric nanoplate with previous data. It is shown that buckling loads of flexoelectric nanoplate are significantly affected by thermal loading type, temperature change, nonlocal parameter, surface effect, plate thickness and boundary conditions.

Combination resonance analysis of FG porous cylindrical shell under two-term excitation

  • Ahmadi, Habib;Foroutan, Kamran
    • Steel and Composite Structures
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    • v.32 no.2
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    • pp.253-264
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    • 2019
  • This paper presents the combination resonances of FG porous (FGP) cylindrical shell under two-term excitation. The effect of structural damping on the system response is also considered. With regard to classical plate theory of shells, von-$K{\acute{a}}rm{\acute{a}}n$ equation and Hook law, the relations of stress-strain is derived for shell. According to the Galerkin method, the discretized motion equation is obtained. The combination resonances are obtained by using the method of multiple scales. Four types of FGP distributions consist of uniform porosity, non-symmetric porosity soft, non-symmetric porosity stiff and symmetric porosity distribution are considered. The influence of various porosity distributions, porosity coefficients of cylindrical shell and amplitude excitations on the combination resonances for FGP cylindrical shells is investigated.

Fabrication of Ultra-fine Rhodium Wire Using Multi-pass Wire Drawing Process (다단 신선공정을 이용한 초극세 로듐 와이어 제조)

  • Lee, S.K.;Lee, S.Y.;Lee, I.K.;Hwang, S.K.
    • Transactions of Materials Processing
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    • v.28 no.5
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    • pp.275-280
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    • 2019
  • The aim of this study is to fabricate an ultra-fine pure rhodium wire using multi-pass wire drawing process. To manufacture $30{\mu}m$ ultra-fine rhodium wire from the initial $50{\mu}m$ wire, a multi-pass wire drawing process was designed based on the uniform reduction ratio theory. The elastic-plastic finite element analysis was then conducted to validate the efficacy of the designed process. The drawing load, drawing stress, and the distribution of the effective strain were evaluated using the finite element analysis. Finally, the wire drawing experiment was performed to validate the designed wire drawing process. From the results of the experiment, the diameter of the final drawn wire was found to be $29.85{\mu}m$.

A FE2 multi-scale implementation for modeling composite materials on distributed architectures

  • Giuntoli, Guido;Aguilar, Jimmy;Vazquez, Mariano;Oller, Sergio;Houzeaux, Guillaume
    • Coupled systems mechanics
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    • v.8 no.2
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    • pp.99-109
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    • 2019
  • This work investigates the accuracy and performance of a $FE^2$ multi-scale implementation used to predict the behavior of composite materials. The equations are formulated assuming the small deformations solid mechanics approach in non-linear material models with hardening plasticity. The uniform strain boundary conditions are applied for the macro-to-micro transitions. A parallel algorithm was implemented in order to solve large engineering problems. The scheme proposed takes advantage of the domain decomposition method at the macro-scale and the coupling between each subdomain with a micro-scale model. The precision of the method is validated with a composite material problem and scalability tests are performed for showing the efficiency.