• Title/Summary/Keyword: elasticity index

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Change of Physical Properties of Under Wear by Repeated Washing. (반복 세탁에 따른 내의류의 물성변화에 관한 연구)

  • Song, Kyoung-Hun;Lee, Mun-Soo
    • The Journal of Natural Sciences
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    • v.8 no.1
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    • pp.137-143
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    • 1995
  • The purpose of this study is to investigate the change of shrinkage, tensile strength, elasticity, light-fastness and color-fastness of 100% cotton upper under wear after acidic treatment and repeated washing and drying. Both of warp and welt were shrinked, especially in the early washing stage. Tensile strength was not weakened by 15 times of repeated washing. Hunter whiteness(HW) of white-underwear decreased, but color difference($\Delta$E) and yellow index(YI) increased corresponding to the frequency of washing and sunlight drying. The discoloration of color-underwear was significant in the early stage.

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Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities

  • Bensaid, Ismail;Guenanou, Ahmed
    • Advances in materials Research
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    • v.6 no.1
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    • pp.45-63
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    • 2017
  • In this article, static deflection and buckling of functionally graded (FG) nanoscale beams made of porous material are carried out based on the nonlocal Timoshenko beam model which captures the small scale influences. The exact position of neutral axis is fixed, to eliminate the stretching and bending coupling due to the unsymmetrical material change along the FG nanobeams thickness. The material properties of FG beam are graded through the thickness on the basis of the power-law form, which is modified to approximate the material properties with two models of porosity phases. By employing Hamilton's principle, the nonlocal governing equations of FG nanobeams are obtained and solved analytically for simply-supported boundary conditions via the Navier-type procedure. Numerical results for deflection and buckling of FG nanoscale beams are presented and validated with those existing in the literature. The influences of small scale parameter, power law index, porosity distribution and slenderness ratio on the static and stability responses of the FG nanobeams are all explored.

Reliability analysis of uncertain structures using earthquake response spectra

  • Moustafa, Abbas;Mahadevan, Sankaran
    • Earthquakes and Structures
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    • v.2 no.3
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    • pp.279-295
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    • 2011
  • This paper develops a probabilistic methodology for the seismic reliability analysis of structures with random properties. The earthquake loading is assumed to be described in terms of response spectra. The proposed methodology takes advantage of the response spectra and thus does not require explicit dynamic analysis of the actual structure. Uncertainties in the structural properties (e.g. member cross-sections, modulus of elasticity, member strengths, mass and damping) as well as in the seismic load (due to uncertainty associated with the earthquake load specification) are considered. The structural reliability is estimated by determining the failure probability or the reliability index associated with a performance function that defines safe and unsafe domains. The structural failure is estimated using a performance function that evaluates whether the maximum displacement has been exceeded. Numerical illustrations of reliability analysis of elastic and elastic-plastic single-story frame structures are presented first. The extension of the proposed method to elastic multi-degree-of-freedom uncertain structures is also studied and a solved example is provided.

Thermo-mechanical bending response with stretching effect of functionally graded sandwich plates using a novel shear deformation theory

  • Saidi, Hayat;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bedia, El Abbas Adda
    • Steel and Composite Structures
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    • v.15 no.2
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    • pp.221-245
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    • 2013
  • This paper presents an analytical solution to the thermomechanical bending analysis of functionally graded sandwich plates by using a new hyperbolic shear deformation theory in which the stretching effect is included. The modulus of elasticity of plates is assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic ceramic material. The effects of functionally graded material (FGM) layer thickness, volume fraction index, layer thickness ratio, thickness ratio and aspect ratio on the deflections and stresses of functionally graded sandwich plates are investigated.

Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams

  • Rahmani, O.;Refaeinejad, V.;Hosseini, S.A.H.
    • Steel and Composite Structures
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    • v.23 no.3
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    • pp.339-350
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    • 2017
  • In this paper, various nonlocal higher-order shear deformation beam theories that consider the size dependent effects in Functionally Graded Material (FGM) beam are examined. The presented theories fulfill the zero traction boundary conditions on the top and bottom surface of the beam and a shear correction factor is not required. Hamilton's principle is used to derive equation of motion as well as related boundary condition. The Navier solution is applied to solve the simply supported boundary conditions and exact formulas are proposed for the bending and static buckling. A parametric study is also included to investigate the effect of gradient index, length scale parameter and length-to-thickness ratio (aspect ratio) on the bending and the static buckling characteristics of FG nanobeams.

Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams

  • Ebrahimi, Farzad;Shafiei, Navvab
    • Smart Structures and Systems
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    • v.17 no.5
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    • pp.837-857
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    • 2016
  • In the present study, for first time the size dependent vibration behavior of a rotating functionally graded (FG) Timoshenko nanobeam based on Eringen's nonlocal theory is investigated. It is assumed that the physical and mechanical properties of the FG nanobeam are varying along the thickness based on a power law equation. The governing equations are determined using Hamilton's principle and the generalized differential quadrature method (GDQM) is used to obtain the results for cantilever boundary conditions. The accuracy and validity of the results are shown through several numerical examples. In order to display the influence of size effect on first three natural frequencies due to change of some important nanobeam parameters such as material length scale, angular velocity and gradient index of FG material, several diagrams and tables are presented. The results of this article can be used in designing and optimizing elastic and rotary type nano-electro-mechanical systems (NEMS) like nano-motors and nano-robots including rotating parts.

Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory

  • Abdulrazzaq, Mohammed Abdulraoof;Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.
    • Steel and Composite Structures
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    • v.35 no.1
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    • pp.147-157
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    • 2020
  • In the present research, thermo-elastic buckling of small scale functionally graded material (FGM) nano-size plates with clamped edge conditions rested on an elastic substrate exposed to uniformly, linearly and non-linearly temperature distributions has been investigated employing a secant function based refined theory. Material properties of the FGM nano-size plate have exponential gradation across the plate thickness. Using Hamilton's rule and non-local elasticity of Eringen, the non-local governing equations have been stablished in the context of refined four-unknown plate theory and then solved via an analytical method which captures clamped boundary conditions. Buckling results are provided to show the effects of different thermal loadings, non-locality, gradient index, shear deformation, aspect and length-to-thickness ratios on critical buckling temperature of clamped exponential graded nano-size plates.

Nonlocal buckling characteristics of heterogeneous plates subjected to various loadings

  • Ebrahimi, Farzad;Babaei, Ramin;Shaghaghi, Gholam Reza
    • Advances in aircraft and spacecraft science
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    • v.5 no.5
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    • pp.515-531
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    • 2018
  • In this manuscript, buckling response of the functionally graded material (FGM) nanoplate is investigated. Two opposite edges of nanoplate is under linear and nonlinear varying normal stresses. The small-scale effect is considered by Eringen's nonlocal theory. Governing equation are derived by nonlocal theory and Hamilton's principle. Navier's method is used to solve governing equation in simply boundary conditions. The obtained results exactly match the available results in the literature. The results of this research show the important role of nonlocal effect in buckling and stability behavior of nanoplates. In order to study the FG-index effect and different loading condition effects on buckling of rectangular nanoplate, Navier's method is applied and results are presented in various figures and tables.

Characteristics of water relations paramenters obtained from pressure-volume curves in pinus koraiensis needles (P-V 曲線法에 의한 잣나무葉에 水分 特性에 關한 硏究)

  • Han, Sang-Sup
    • The Korean Journal of Ecology
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    • v.15 no.1
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    • pp.47-58
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    • 1992
  • This study is to investigate the change of the seasonal patterns of relative water relations parameters by the pressure-volume curves in pinus koraiensis needles. The osmotic potentials at full water saturated(Ψ0, sat) and at incipient plasmolysis(Ψ0, tlp) increased in growing season, while decreased in non-growing season. The maximum bulk modulus of elasticity(Emax), relative water content(RWCTLP), and relativefree water content(FWCtlp) at incipient plasmolysis in non-growing season were higher than these of growing season. The maximum pressure potential(Ψp, max) varied from 1.16 to 2.18MPa, torgor index(TI) varied from 3.1 to 4.7. The osmole number(Ns/dw) and symplastic water (Vo/DW) were variable seasonally. The maximum water content(Vt/DW) and apoplastic water(AW) were relatively high in early growing stage, and then decreased to needle aging. The pressure potential(Ψp) and water potential(Ψ) in winter needles were rapidly decreased with decreasing of relative water content. The matric potential occupied over 10 percent of water potential with less than-2.0 MPa.

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Vibration analysis of FG nanobeams based on third-order shear deformation theory under various boundary conditions

  • Jandaghian, Ali Akbar;Rahmani, Omid
    • Steel and Composite Structures
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    • v.25 no.1
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    • pp.67-78
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    • 2017
  • In this study, free vibration of functionally graded (FG) micro/nanobeams based on nonlocal third-order shear deformation theory and under different boundary conditions is investigated by applying the differential quadrature method. Third-order shear deformation theory can consider the both small-scale effects and quadratic variation of shear strain and hence shear stress along the FG nanobeam thickness. The governing equations are obtained by using the Hamilton's principle, based on third-order shear deformation beam theory. The differential quadrature (DQ) method is used to discretize the model and attain the natural frequencies and mode shapes. The properties of FG micro/nanobeam are assumed to be chanfged along the thickness direction based on the simple power law distribution. The effects of various parameters such as the nonlocal parameter, gradient index, boundary conditions and mode number on the vibration characteristics of FG micro/nanobeams are discussed in detail.