• Title/Summary/Keyword: Elasticity effect

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Vibration characteristics of advanced nanoplates in humid-thermal environment incorporating surface elasticity effects via differential quadrature method

  • Ebrahimi, Farzad;Heidari, Ebrahim
    • Structural Engineering and Mechanics
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    • v.68 no.1
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    • pp.131-157
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    • 2018
  • In this study, Eringen nonlocal elasticity theory in conjunction with surface elasticity theory is employed to study nonlinear free vibration behavior of FG nano-plate lying on elastic foundation, on the base of Reddy's plate theory. The material distribution is assumed as a power-law function and effective material properties are modeled using Mori-Tanaka homogenization scheme. Hamilton's principle is implemented to derive the governing equations which solved using DQ method. Finally, the effects of different factors on natural frequencies of the nano-plate under hygrothermal situation and various boundary conditions are studied.

Experimental Study on Cosserat Elasticity of Porous Solids (코세라 탄성론을 이용한 기공성 재료의 탄성거동에 관한 실험적 연구)

  • 정민호;윤성진;박현철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.342-350
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    • 1993
  • Experiments are performed to determine the dependence of torsional rigidity upon the cross-sectional area for specimens of dense polyurethane foam. Testing equipment was designed and fabricated in the laboratory to satisfy the experimental characteristics. Results show the increase of torsional rigidity compared to the expected value based on the conventional elasticity. And this can be explained that the consideration of the internal motions of constitutive particles predicts the elastic behavior of the material better.

Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity

  • Akgoz, Bekir;Civalek, Omer
    • Structural Engineering and Mechanics
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    • v.48 no.2
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    • pp.195-205
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    • 2013
  • The buckling problem of linearly tapered micro-columns is investigated on the basis of modified strain gradient elasticity theory. Bernoulli-Euler beam theory is used to model the non-uniform micro column. Rayleigh-Ritz solution method is utilized to obtain the critical buckling loads of the tapered cantilever micro-columns for different taper ratios. Some comparative results for the cases of rectangular and circular cross-sections are presented in graphical and tabular form to show the differences between the results obtained by modified strain gradient elasticity theory and those achieved by modified couple stress and classical theories. From the results, it is observed that the differences between critical buckling loads achieved by classical and those predicted by non-classical theories are considerable for smaller values of the ratio of the micro-column thickness (or diameter) at its bottom end to the additional material length scale parameters and the differences also increase due to increasing of the taper ratio.

Characterization of the mixed soil with waste and application to geotechnical field (폐기물을 포함한 혼합토의 특성 및 지반공학분야에의 응용)

  • 이기호
    • Proceedings of the Korean Geotechical Society Conference
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    • 2001.11a
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    • pp.72-84
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    • 2001
  • In order to utilize mass of oyster shells for a partial substitute material for reclamation, we investigate the shear characteristics of dredged sluge mixed with oyster shells. the apparent modulus of elasticity of the this mixture are obtained from the triaxial compression tests and is utilized to characterize the apparent modulus of elastic of the oyster shells by carrying out some numerical analysis based upon the homogenization theory. We got the conclusion by a series of experiment, 1) It is verified that modulus of elasticity of dredged clay is improved by mixing with oyster shells. 2) The homogenization method for deducing apparent modulus of elasticity of oyster shells, which can consider micro-structure of mixed soil, is introduced. The elastic modulus is affected from the skeleton structure of oyster shell. The effect of 49kPa is bigger than that of 98kPa.

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Size dependent torsional vibration of a rotationally restrained circular FG nanorod via strain gradient nonlocal elasticity

  • Busra Uzun;Omer Civalek;M. Ozgur Yayli
    • Advances in nano research
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    • v.16 no.2
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    • pp.175-186
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    • 2024
  • Dynamical behaviors of one-dimensional (1D) nano-sized structures are of great importance in nanotechnology applications. Therefore, the torsional dynamic response of functionally graded nanorods which could be used to model the nano electromechanical systems or micro electromechanical systems with torsional motion about the center of twist is examined based on the theory of strain gradient nonlocal elasticity in this work. The mathematical background is constructed based on both strain gradient theory and Eringen's nonlocal elasticity theory. The equation of motions and boundary conditions of radially functionally graded nanorods are derived using Hamilton's principle and then transformed into the eigenvalue analysis by using Fourier sine series. A general coefficient matrix is obtained to assemble the Stokes' transformation. The case of a restrained functionally graded nanorod embedded in two elastic springs against torsional rotation is then deeply investigated. The effect of changing the functionally graded index, the stiffness of elastic boundary conditions, the length scale parameter and nonlocal parameter are investigated in detail.

Elasticity solution and free vibrations analysis of laminated anisotropic cylindrical shells

  • Shakeri, M.;Eslami, M.R.;Yas, M.H.
    • Structural Engineering and Mechanics
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    • v.7 no.2
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    • pp.181-202
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    • 1999
  • Dynamic response of axisymmetric arbitrary laminated composite cylindrical shell of finite length, using three-dimensional elasticity equations are studied. The shell is simply supported at both ends. The highly coupled partial differential equations are reduced to ordinary differential equations (ODE) with variable coefficients by means of trigonometric function expansion in axial direction. For cylindrical shell under dynamic load, the resulting differential equations are solved by Galerkin finite element method, In this solution, the continuity conditions between any two layer is satisfied. It is found that the difference between elasticity solution (ES) and higher order shear deformation theory (HSD) become higher for a symmetric laminations than their unsymmetric counterpart. That is due to the effect of bending-streching coupling. It is also found that due to the discontinuity of inplane stresses at the interface of the laminate, the slope of transverse normal and shear stresses aren't continuous across the interface. For free vibration analysis, through dividing each layer into thin laminas, the variable coefficients in ODE become constants and the resulting equations can be solved exactly. It is shown that the natural frequency of symmetric angle-ply are generally higher than their antisymmetric counterpart. Also the results are in good agreement with similar results found in literatures.

Effect of degumming on structure and mechanical properties of silk textile made with silk/polyurethane core-spun yarn

  • Bae, Yeon Su;Kim, Chun Woo;Bae, Do Gyu;Um, In Chul
    • International Journal of Industrial Entomology and Biomaterials
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    • v.33 no.2
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    • pp.132-137
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    • 2016
  • Although silk textile shows excellent performance when used in clothing over a long period, its limited elongation and elasticity have restricted its extension to other textile and non-textile applications. In the present study, silk textile was produced using silk/polyurethane core-spun yarn and degummed to enhance its elongation and elasticity. The effects of degumming on the structure and mechanical properties of the silk textile were examined. Scanning electron microscopy observation revealed that the silk filaments became finer and more flexible with degumming, resulting in increased tangling of weft yarns and a highly shrunk textile structure in the weft direction. Although the strength of the degummed silk textile was decreased, its elongation greatly increased by 383% (a 16-fold increase) because of the degumming treatment. In particular, the elasticity of the silk textile was greatly improved. The silk textile exhibited ~30% reduction in the elongation after the second extension; however, the elongation almost did not change after 18 additional extension-recovery tests.

Surface elasticity and residual stress effect on the elastic field of a nanoscale elastic layer

  • Intarit, P.;Senjuntichai, T.;Rungamornrat, J.;Rajapakse, R.K.N.D.
    • Interaction and multiscale mechanics
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    • v.4 no.2
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    • pp.85-105
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    • 2011
  • The influence of surface elasticity and surface residual stress on the elastic field of an isotropic nanoscale elastic layer of finite thickness bonded to a rigid material base is considered by employing the Gurtin-Murdoch continuum theory of elastic material surfaces. The fundamental solutions corresponding to buried vertical and horizontal line loads are obtained by using Fourier integral transform techniques. Selected numerical results are presented for the cases of a finite elastic layer and a semi-infinite elastic medium to portray the influence of surface elasticity and residual surface stress on the bulk stress field. It is found that the bulk stress field depends significantly on both surface elastic constants and residual surface stress. The consideration of out-of-plane terms of the surface stress yields significantly different solutions compared to previous studies. The solutions presented in this study can be used to examine a variety of practical problems involving nanoscale/soft material systems and to develop boundary integral equations methods for such systems.

Determination of Optimal Support for Cable-stayed Bridge Designs (사장교의 설계를 위한 최적 지지조건 결정)

  • An, Zu-Og;Yoon, Young-Man
    • Journal of the Korean Society of Hazard Mitigation
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    • v.3 no.4 s.11
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    • pp.103-109
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    • 2003
  • A numerical analysis of cable-stayed bridge is conducted to determine optimum longitudinal modulus of elasticity which represents the boundary condition between the tower and main girder. The effect of longitudinal modulus of elasticity is investigated for different loading condition (live load, wind load, seismic load), respectively. There are significant changes in the member forces as variations of longitudinal modulus of elasticity, such as, $k_h$=e=100tonf/m/bearing (live load), $k_h$=e=1000tonf/m/bearing (seismic load), However, the wind loads do not affect member forces. The optimum longitudinal modulus of elasticity is determined from considering minimum member forces in the numerical analysis results.

Elasticity Modulus Change Research of Polymer Ultraviolet Dosage by using ESPI (ESPI를 이용한 자외선조사량에 따른 폴리머애자의 탄성계수 변화 연구)

  • Kim, Kyeong-Suk;Kim, Dong-Soo;Chang, Ho-Sub;Pack, Chan-Joo;Jang, Wan-Sik;Jung, Hyun-Chul
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.4
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    • pp.485-490
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    • 2010
  • Recently, environment problems have effects on the electronic equipments. Security problems are presented. For security reasons, it is necessary to study electronic equipments. In this paper, we handle the Elasticity modulus on the polymer insulator by UV irradiation. The types of material are used in this experiment, is the EPDM (Ethylene Propylene Diene Monomer). For increasing the reliability, real material specimens are used. For this study, we used ESPI (Electronic speckle pattern interferometry), UTM (Universal thesting machine) device, Accelerated weathering tester. Through this measurement, we evaluated how much UV irradiation has effect on polymer insulator and how long does it take to change the polymer insulator. Also this paper will give a help in electronic industry and the method of measuring the insulator elasticity modulus of polymer could be utilized in life estimation and replacement time of the products of electronic equipment that is used in real industrial fields.