• Title/Summary/Keyword: Elastic Material Properties

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Natural frequency of laminated composite plate resting on an elastic foundation with uncertain system properties

  • Lal, Achchhe;Singh, B.N.;Kumar, Rakesh
    • Structural Engineering and Mechanics
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    • v.27 no.2
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    • pp.199-222
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    • 2007
  • Composite laminated structures supported on elastic foundations are being increasingly used in a great variety of engineering applications. Composites exhibit larger dispersion in their material properties compared to the conventional materials due to large number of parameters associated with their manufacturing and fabrication processes. And also the dispersion in elastic foundation stiffness parameter is inherent due to inaccurate modeling and determination of elastic foundation properties in practice. For a better modeling of the material properties and foundation, these are treated as random variables. This paper deals with effects of randomness in material properties and foundation stiffness parameters on the free vibration response of laminated composite plate resting on an elastic foundation. A $C^0$ finite element method has been used for arriving at an eigen value problem. Higher order shear deformation theory has been used to model the displacement field. A mean centered first order perturbation technique has been employed to handle randomness in system properties for obtaining the stochastic characteristic of frequency response. It is observed that small amount of variations in random material properties and foundation stiffness parameters significantly affect the free vibration response of the laminated composite plate. The results have been compared with those available in the literature and an independent Monte Carlo simulation.

Assessment of Equivalent Elastic Modulus of Perforated Spherical Plates

  • JUMA, Collins;NAMGUNG, Ihn
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.15 no.1
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    • pp.8-17
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    • 2019
  • Perforated plates are used for the steam generator tube-sheet and the Reactor Vessel Closure Head in the Nuclear Power Plant. The ASME code, Section III Appendix A-8000, addresses the analysis of perforated plates, however, this analysis is only limited to the flat plate with a triangular perforation pattern. Based on the concept of the effective elastic constants, simulation of flat and spherical perforated plates and their equivalent solid plates were carried out using Finite Element Analysis (FEA). The isotropic material properties of the perforated plate were replaced with anisotropic material properties of the equivalent solid plate and subjected to the same loading conditions. The generated curves of effective elastic constants vs ligament efficiency for the flat perforated plate were in agreement with the design curve provided by ASME code. With this result, a plate with spherical curvature having perforations can be conveniently analyzed with equivalent elastic modulus and equivalent Poisson's ratio.

3-Dimensional Stress Analysis for Creep Life Assessment of Y-Piece Under Inner Pressure (내압을 받는 Y 배관의 크리프 수명 평가를 위한 3차원 응력해석)

  • Shin, Kyu-In;Lee, Jin-Sang;Yoon, Kee-Bong
    • Journal of the Korean Society of Safety
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    • v.22 no.2 s.80
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    • pp.22-27
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    • 2007
  • To assess a creep life of elevated temperature plant components, inspections and analysis are usually focused on the critical locations. In this study, stress analysis of a weld region in branch part of Y-piece was conducted by using a three-dimensional finite element analysis. The stresses at the inner and outer surface in the weld part were estimated by using elastic and elastic-creep analysis. For the elastic-creep analysis two kinds of elastic-creep analysis was conducted. The one was assumed that base and weld material properties were same and the other was that material properties were different between base and weld metal. The material properties of base and weld metal were used from reference data. The results showed the stress relaxation level and its location. The result stresses are also compared with elastic stresses.

A Study on Wearing Sensations of Girls'High School Uniforms Based on Elasticity(1) -Focusing on Mechanical Properties and Insulation- (신축성에 따른 여고생 교복의 착용감에 관한 연구(제1보) -역학적 특성과 보온성에 관하여-)

  • 민경혜;류덕환
    • Journal of the Korean Society of Clothing and Textiles
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    • v.27 no.5
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    • pp.545-553
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    • 2003
  • A good school uniform leads students to good behavior and have them enjoy desirable school life. Therefore a better fabric for girls' high school uniform suggested through two series of studies; first, examined the various aspects of current uniforms. Second, made a new fabric for uniform considering elasticity for activity and comfortableness, and compared its characteristics with those of the current uniforms. The results are as follows; 1 Most of students wanted uniforms considering elasticity for activity and wearing. 2. The measurement of the elasticities of the uniform materials showed that the material which was made using the elastic material was more elastic than the currently used material by 42.12% in summer material and 20.05% in winter one. 3. The analysis using the combination of the values of mechanical properties showed that the elastic material was better in the wearing, tactile senses, and drape properties than the current material, even though it was a little worse in shape-stability. 4. To compare the thermal insulation, clo values were measured. For winter uniform, the elastic material was better than the current one in keeping warm. However, This study did not find any big difference between summer uniform materials.

Influence of time-dependency on elastic rock properties under constant load and its effect on tunnel stability

  • Aksoy, C.O.;Aksoy, G.G. Uyar;Guney, A.;Ozacar, V.;Yaman, H.E.
    • Geomechanics and Engineering
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    • v.20 no.1
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    • pp.1-7
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    • 2020
  • In structures excavated in rock mass, load progressively increases to a level and remains constant during the construction. Rocks display different elastic properties such as Ei and ʋ under different loading conditions and this requires to use the true values of elastic properties for the design of safe structures in rock. Also, rocks will undergo horizontal and vertical deformations depending on the amount of load applied. However, under constant loads, values of Ei and ʋ will vary in time and induce variations in the behavior of the rock mass. In some empirical equations in which deformation modulus of the rock mass is taken into consideration, elastic parameters of intact rock become functions in the equation. Hence, the use of time dependent elastic properties determined under constant loading will yield more reliable results than when only constant elastic properties are used. As well known, rock material will play an important role in the deformation mechanism since the discontinuities will be closed due to the load. In this study, Ei and ʋ values of intact rocks were investigated under different constant loads for certain rocks with high deformation capabilities. The results indicated significant time dependent variations in elastic properties under constant loading conditions. Ei value obtained from deformability test was found to be higher than the Ei value obtained from the constant loading test. This implies that when static values of elastic properties are used, the material is defined as more elastic than the rock material itself. In fact, Ei and ʋ values embedded in empirical equations are not static. Hence, this workattempts to emerge a new understanding in designing of safer structures in rock mass by numerical methods. The use of time-dependent values of Ei and ʋ under different constant loads will yield more accurate results in numerical modeling analysis.

Development and Verification of Micro-indentation Technique for Material Property Evaluation of Hyper-elastic Rubber (초탄성고무 물성평가용 미소압입시험법 개발 및 검증)

  • Lee, Hyung-Il;Lee, Jin-Haeng
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.132-137
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    • 2004
  • In this work, effects of hyper-elastic rubber material properties on the indentation load-deflection curve and subindenter deformation are first examined via [mite element (FE) analyses. An optimal data acquisition spot is selected, which features maximum strain energy density and negligible frictional effect. We then contrive two normalized functions. which map an indentation load vs. deflection curve into a strain energy density vs. first invariant curve. From the strain energy density vs. first invariant curve, we can extract the rubber material properties. This new spherical indentation approach produces the rubber material properties in a manner more effective than the common uniaxial tensile/compression tests. The indentation approach successfully measures the rubber material properties and the corresponding nominal stress.strain curve with an average error less than 3%.

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Micromechanics Modeling of Functionally Graded Materials Containing Multiple Heterogeneities

  • Yu, Jaesang;Yang, Cheol-Min;Jung, Yong Chae
    • Composites Research
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    • v.26 no.6
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    • pp.392-397
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    • 2013
  • Functionally graded materials graded continuously and discretely, and are modeled using modified Mori- Tanaka and self-consistent methods. The proposed micromechanics model accounts for multi-phase heterogeneity and arbitrary number of layers. The influence of geometries and distinct elastic material properties of each constituent and voids on the effective elastic properties of FGM is investigated. Numerical examples of different functionally graded materials are presented. The predicted elastic properties obtained from the current model agree well with experimental results from the literature.

Elastic properties of CNT- and graphene-reinforced nanocomposites using RVE

  • Kumar, Dinesh;Srivastava, Ashish
    • Steel and Composite Structures
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    • v.21 no.5
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    • pp.1085-1103
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    • 2016
  • The present paper is aimed to evaluate and compare the effective elastic properties of CNT- and graphene-based nanocomposites using 3-D nanoscale representative volume element (RVE) based on continuum mechanics using finite element method (FEM). Different periodic displacement boundary conditions are applied to the FEM model of the RVE to evaluate various elastic constants. The effects of the matrix material, the volume fraction and the length of reinforcements on the elastic properties are also studied. Results predicted are validated with the analytical and/or semiempirical results and the available results in the literature. Although all elastic stiffness properties of CNT- and graphene-based nanocomposites are found to be improved compared to the matrix material, but out-of-plane and in-plane stiffness properties are better improved in CNT- and graphene-based nanocomposites, respectively. It is also concluded that long nanofillers (graphene as well as CNT) are more effective in increasing the normal elastic moduli of the resulting nanocomposites as compared to the short length, but the values of shear moduli, except $G_{23}$ of CNT nanocomposite, of nanocomposites are slightly improved in the case of short length nanofillers (i.e., CNT and graphene).

Exact thermoelastoplastic analysis of FGM rotating hollow disks in a linear elastic-fully plastic condition

  • Nadia Alavi;Mohammad Zamani Nejad;Amin Hadi;Anahita Nikeghbalyan
    • Steel and Composite Structures
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    • v.51 no.4
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    • pp.377-389
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    • 2024
  • In the present study, thermoelsatoplastic stresses and displacement for rotating hollow disks made of functionally graded materials (FGMs) has been investigated. The linear elastic-fully plastic condition is considered. The material properties except Poisson's ratio are assumed to vary in the radial direction as a power-law function. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the disk. The plastic model is based on the Tresca yield criterion and its associated flow rules under the assumption of perfectly plastic material behavior. Exact solutions of field equations for elastic and plastic deformations are obtained. It is shown that the elastoplastic response of the functionally graded (FG) disk is affected notably by the radial variation of material properties. It is also shown that, depending on material properties and disk dimensions, different modes of plastic deformation may occur.

An Assessment of Elastic and Damping Material Properties of PVC/MBS by an Acoustic Resonance Method (음향공진법을 이용한 PVC/MBS의 탄성 및 감쇠 특성 평가)

  • 박명균;박세만;최영식;박상규
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.10
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    • pp.766-772
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    • 2002
  • In this investigation, experimental attempts were made to observe and determine the variations in elastic and damping properties of the PVC depending on the amounts of MBS added to the mixture, PVC/MBS, and also on the thicknesses of the specimens. An acoustic resonance technique was used for the tests In this investigation. It serves as a method to characterize properties of materials set in vibrational motions, which is initiated by low level stresses generated by externally supplied acoustic energy. Substantial variations were observed in the test results with the addition of the MBS to the PVC. It was found that the magnitudes of elastic constants decrease while the damping capacity improve when MBS rubber was added in the range up to 9 phr.