• Title/Summary/Keyword: moduli

Search Result 701, Processing Time 0.019 seconds

Measurement and Evaluation of Thermal Expansion Coefficients of Micrometer-Sized SiO2 Particle-Reinforced Epoxy Composites (마이크로미터 크기 실리카 입자로 강화된 에폭시 복합재료의 열팽창계수 측정 및 평가)

  • Jo, Hyu Sang;Kang, Hee Yong;Lee, Gyo Woo
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.39 no.2
    • /
    • pp.129-135
    • /
    • 2015
  • In this experimental study, the thermal stability values of micrometer-sized silica particle-reinforced epoxy composite specimens were evaluated by measuring their thermal expansion coefficients and Young's moduli. For all specimens used in this study (from the baseline specimen to that containing 70 wt% silica filler), the thermal expansion coefficients and Young's moduli were gradually reduced down to 25% and increased up to 51%, respectively. The results of the experiment were compared with those of certain empirical models. The experimental results of the measurement of thermal expansion coefficients corresponded well with those of Kerner's model, which considers the bulk and shear moduli of the matrix and silica filler. However, the results of the measurement of Young's moduli using the empirical Mori-Tanaka model were observed to match better with those of the experiment. The comparison of the results of the experiment with those of the empirical models demonstrated that a reliable model for measuring the thermal expansion coefficients and Young's moduli of composite specimens needs to consider certain property variations in the composites in addition to volume fraction changes in the filler and matrix.

Nanoindentation Experiments on MEMS Device (Nanoindenter를 이용한 MEMS 제품의 기계적 특성 측정)

  • 한준희;박준협;김광석;이상율
    • Journal of the Korean Ceramic Society
    • /
    • v.40 no.7
    • /
    • pp.657-661
    • /
    • 2003
  • The elastic moduli or fracture strengths of multi-layered film (SiO$_2$/po1y-Si/SiN/SiO$_2$, 2.77 $\mu\textrm{m}$ thick), CVD diamond film (1.6 $\mu\textrm{m}$ thick), SiO$_2$ film (1.0 $\mu\textrm{m}$ thick) and SiN film (0.43 $\mu\textrm{m}$ thick) made for the membrane of ink-jet printer head were measured with cantilever beam bending method using nanoindenter after fabricating in the form of micro cantilever beam (${\mu}$-CLB). And the elastic moduli of ${\mu}$-CLB of SiO$_2$ film and SiN film were compared with the value of each film on silicon substrate determined with nanoindentation method. The results showed that the modulus and strength of multi-layered film decrease from 68.08 ㎬ and 2.495 ㎬ to 56.53 ㎬ and 1.834 ㎬, respectively as the width of CLB increases from 18.5 $\mu\textrm{m}$ to 58.5 $\mu\textrm{m}$. And the elastic moduli of SiO$_2$ and SiN films measured with ${\mu}$-CLB bending method are 68.16 ㎬ and 215.45 ㎬, respectively and the elastic moduli of these films on silicon substrate measured with nanoindentation method are 98.78 ㎬ and 219.38 ㎬, respectively. These results show that with ${\mu}$-CLB bending technique, moduli can be measured to within 2%.

Load Sharing Ratios Between the Cortex and Centrum in a Lumbar Vertebral Body with aging using Finite Element Method (유한 요소 법을 이용한 노화에 따른 요추의 피질 골과 해면 골 간의 하중 분담 비율)

  • Lim, JongWan
    • Journal of Biomedical Engineering Research
    • /
    • v.37 no.2
    • /
    • pp.90-103
    • /
    • 2016
  • This research was aimed to analyze load sharing ratios between cortical shell and trabecular bone of a degraded lumbar vertebra with aging, and also evaluate elastic moduli assigned into an FE model, using finite element method. For the better analysis of trabecular bone, effective elastic moduli, that is, nominal elastic moduli divided by the volumetric porosities was used. The elastic moduli of the cortical shell suitable for the trabecular bone were obtained from the equations on the basis of idealized stress-strain relations, including areal porosities. To minimize numerical errors, p-element was used. Using eight parameters that refer to some published papers, the geometry of L3 with a removed posterior part. After the constant compressive displacement was applied, the load sharing ratios were obtained by using both every elastic strain energy and every vertical force between two bones in each 8-volume. As results, 1) according to an increase in age from 20-year to 80-year, load sharing ratios of trabecular bone decreased from 55% to 49%; 2) the maximal ratios of each bone were occurred in the mid-plane of centrums and the endplate of cortical shells, respectively; 3) effective elastic moduli assigned into a porous centrum/cortex were found to be adequate; 4) for load sharing ratios, the difference of two methods showed that the total ratios were almost same within less than 1% but the partial ratios at every depth were more or less different each other.

Comparison of Elastic Modulus Evaluated by Plate Load Test and Soil Stiffness Gauge Considering Strain and Ground Stiffness (변형률 및 지반강성을 고려한 평판재하시험과 흙강성측정기의 탄성계수 비교)

  • Kim, Kyu-Sun;Shin, Donghyun
    • Journal of the Korean Geotechnical Society
    • /
    • v.38 no.10
    • /
    • pp.31-40
    • /
    • 2022
  • This study compares elastic moduli calculated using two stiffness testing methods with different strain ranges to evaluate the stress-settlement characteristics of foundation support layers. Elastic moduli were calculated by the soil stiffness gauge (SSG) in the micro-strain range and the plate load test (PLT) in the medium strain range. To apply the elastic moduli obtained by the two testing methods with different strain ranges to the design and construction of foundation soils, the correlation between each measurement value should be identified in advance. As a result of the comparative analysis of the elastic moduli calculated using the two methods in weathered soil and rock, which are representative support layers in Korea, the calculated elastic moduli differed depending on the types of soil and stress conditions. For various soil types, the static elastic modulus obtained by the PLT was reduced by 56% because of the difference in the strain level of the test compared with the dynamic elastic modulus obtained by the SSG. Therefore, the results show that it is necessary to apply corrections to the stress distribution, stress level, and dynamic effect according to the ground stiffness to effectively use the SSG instead of the PLT.

Evolution of Remnant State Variables and Linear Material Moduli in a PZT Cube under Compressive Stress at Room and High Temperatures (상온과 고온에서 압축하중을 받는 PZT에서의 잔류상태변수와 선형재료상수의 변화)

  • Ji, Dae Won;Kim, Sang-Joo
    • Journal of the Korean Ceramic Society
    • /
    • v.50 no.1
    • /
    • pp.82-86
    • /
    • 2013
  • A poled lead zirconate titanate (PZT) cube specimen is subjected to impulse-type compressive stress with increasing magnitude in parallel to the poling direction at four room and high temperatures. During the ferroelastic domain switching induced by the compressive stress, electric displacement in the poling direction and longitudinal and transverse strains are measured. Using the measured responses, linear material properties, namely, the piezoelectric and elastic compliance coefficients, are evaluated by a graphical method, and the effects of stress and temperature are analyzed. Finally, the dependency of the evaluated linear material properties on relative remnant polarization is analyzed and discussed.

The buckling of a cross-ply laminated non-homogeneous orthotropic composite cylindrical thin shell under time dependent external pressure

  • Sofiyev, A.H.
    • Structural Engineering and Mechanics
    • /
    • v.14 no.6
    • /
    • pp.661-677
    • /
    • 2002
  • The subject of this investigation is to study the buckling of cross-ply laminated orthotropic cylindrical thin shells with variable elasticity moduli and densities in the thickness direction, under external pressure, which is a power function of time. The dynamic stability and compatibility equations are obtained first. These equations are subsequently reduced to a system of time dependent differential equations with variable coefficients by using Galerkin's method. Finally, the critical dynamic and static loads, the corresponding wave numbers, the dynamic factors, critical time and critical impulse are found analytically by applying a modified form of the Ritz type variational method. The dynamic behavior of cross-ply laminated cylindrical shells is investigated with: a) lamina that present variations in the elasticity moduli and densities, b) different numbers and ordering of layers, and c) external pressures which vary with different powers of time. It is concluded that all these factors contribute to appreciable effects on the critical parameters of the problem in question.

A Novel Binary-to-Residue Conversion Algorithm for Moduli ($2^n$ - 1, $2^n$, $2^n + 2^{\alpha}$)

  • Syuto, Makoto;Satake, Eriko;Tanno, Koichi;Ishizuka, Okihiko
    • Proceedings of the IEEK Conference
    • /
    • 2002.07a
    • /
    • pp.662-665
    • /
    • 2002
  • This paper describes a novel converter to implement high-speed binary-to-residue conversion for moduli 2$^{n}$ - 1, 2$^{n}$ , 2$^{n}$ +2$^{\alpha}$/($\alpha$$\in${0,1,…,n-1}) without using look-up table. In our implementation, the high-speed converter can be achieved, because of the modulo addition time is independent of the word length of operands by using the Signed-Digit (SD) adders inside the modulo adders. For a LSI implementation of residue SD number system with ordinary binary system, the proposed binary-to-residue converter is the efficient circuit.cient circuit.

  • PDF

Three-dimensional effective properties of layered composites with imperfect interfaces

  • Sertse, Hamsasew;Yu, Wenbin
    • Advances in aircraft and spacecraft science
    • /
    • v.4 no.6
    • /
    • pp.639-650
    • /
    • 2017
  • The objective of this paper is to obtain three-dimensional (3D) effective properties for layered composites with imperfect interfaces using mechanics of structure genome. The imperfect interface is modeled using linear traction-displacement model that allows small infinitesimal displacement jump across the interface. The predictions obtained from the current analysis are compared with the 3D finite element analysis (FEA). In this study, it is found that the present model shows excellent agreement with the results obtained using 3D FEA by employing periodic boundary conditions. The prediction also reveals that in-plane longitudinal and shear moduli, and all Poisson's ratios are observed to be not affected by the interfacial stiffness while the predictions of transverse longitudinal and shear moduli are significantly influenced by interfacial stiffness.

A Unified Model of Strain Localization in Concrete (콘크리트 변형률 국소화의 통일된 모형)

  • 송하원;김인순
    • Magazine of the Korea Concrete Institute
    • /
    • v.9 no.5
    • /
    • pp.115-125
    • /
    • 1997
  • 콘크리트의 변형률국소화는 콘크리트의연화거동에 수반되어 변형이 국부적으로 집중되는 현상이다. 본 연구의 목적은 인장과 압축하중상태에서 콘크리트 부재에 발생하는 콘크리트 변형률 국소화 거동을 해석적으로 재현할 수 있는 통일된 모형을 제안하는 것이다. 본 논문에서는 인장과 압축에 대하여 변형률국소화가 일어나는 콘크리트 부재를 변형률 연화가 일어나는 국소화영역과 탄성제하가 발생하는 비국소화영역으로 구분하여 모델링하는 통일된 모형을 제안하였다. 또한 제안된 모형에서 미시역학적 평균화기법을 이용해 평균등가탄성계수와 수정된 평균등가탄성계수를 구하여 시편의 크기와 국소화영역의 크기에 따는 해석을 수행하였으며 기존의 실험값과 비교하였다. 연구결과, 본 연구에서의 변형률국소화모형이 크기효과를 포함한 콘크리트의 변형률국소화거동 해석에 타당하게 적용될 수 있음을 보여주었다.