• Title/Summary/Keyword: Young%27s modulus

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Stability of a slender beam-column with locally varying Young's modulus

  • Kutis, Vladimir;Murin, Justin
    • Structural Engineering and Mechanics
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    • v.23 no.1
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    • pp.15-27
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    • 2006
  • A locally varying temperature field or a mixture of two or more different materials can cause local variation of elasticity properties of a beam. In this paper, a new Euler-Bernoulli beam element with varying Young's modulus along its longitudinal axis is presented. The influence of axial forces according to the linearized 2nd order beam theory is considered, as well. The stiffness matrix of this element contains the transfer constants which depend on Young's modulus variation and on axial forces. Occurrence of the polynomial variation of Young's modulus has been assumed. Such approach can be also used for smooth local variation of Young's modulus. The critical loads of the straight slender columns were studied using the new beam element. The influence of position of the local Young's modulus variation and its type (such as linear, quadratic, etc.) on the critical load value and rate of convergence was investigated. The obtained results based on the new beam element were compared with ANSYS solutions, where the number of elements gradually increased. Our results show significant influence of the locally varying Young's modulus on the critical load value and the convergence rate.

Characteristics of Physical Properties According to Compound Condition of Grout Mortar (그라우트 모르타르 배합조건에 따른 물리적 성질의 특성)

  • Mun, Tae-Chul;Kang, Choo-Won;Lee, Hyo
    • Explosives and Blasting
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    • v.27 no.1
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    • pp.32-37
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    • 2009
  • To look over the effect of mixed proportion of cement, sand and water on strength, 162 tests were made for 9 mix proportions. It was observed that strength increased as water in the mixture is reduced. As a result of the control of sand ratio by 50%, the execution strength increased when the sand ratio is raised. Strength was consistent during curing period on each mix proportion, but there were sections where it suddenly increased. Poisson's ratio widely ranged from 0.13 to 0.27, and Young's modulus also broadly ranged from 13.79MPa to 33.25MPa. Poisson's ratio had nothing to do with uniaxial compressive strength, wheras Young's modulus was concerned with it. Young's modulus from theory and experiment showed similar outcome on the 3rd curing day, however, the strength from theory was higher than that from test after 3rd day. In consequence, there was a great change of strength between 3rd and 7th curing day. In addition, it is more efficient to use field strength value between the 3rd and 7th day and to apply Young's modulus on it for determining the exact time.

Measurement of Mechanical Properties of Pyeongyeong Chime Stone (편경 제작용 경석 표본의 역학적 물성 측정)

  • Park, Sang-Ha;Noh, Jung-Uk;Sung, Koeng-Mo
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.4
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    • pp.171-177
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    • 2008
  • In this paper, we have measured the fundamental properties of chime stone for Pyeongyeong. The properties are measured by wave propagation in the stone without destroying the stones, the measured properties are the chime stone density, natural frequencies of extensional wave and bending wave, and Young's modulus which is calculated by the measured properties. To find a value for Young's modulus, the fundamental frequencies which are obtained through spectrum analysis of extensional wave and bending wave are used. We calculated Young's modulus of chime stone by theoretical study and measurement on extensional wave and bending wave of the beam. As a result, we obtained Young's modulus by the fundamental frequencies of extensional wave and bending wave which deviation is within 2%.

Effect of Microstructure on the Prooperties of High Strength Hardened Cement Paste (II) (고강도 시멘트 경화체의 특성에 미치는 미세구조의 영향 (II))

  • 김정환;최상흘;한기성
    • Journal of the Korean Ceramic Society
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    • v.27 no.8
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    • pp.1034-1042
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    • 1990
  • Investigation for the preparation of high strength hardened cement paste using ordinary portland cement, hydroxypropyl methyl cellulose(HPMC) with various admixtures was carried out. The cement paste was mixed with 0.1 of water cement ratio by twin roll mill and cured 60 days in humidity chamber. When the quartz powder or white cement was added to the paste, the flexural strength was 900∼1000kg/㎠ and the Young's modulus was 8∼9×105kg/㎠. When the silicafume was added, the flexural strength was 800kg/㎠ and the Young's modulus was 6×105kg/㎠.

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Effect of Design Factors in a Pump Station on Pressure Variations by Water Hammering (가압 펌프장에서 설계인자들이 수격에 의한 압력변동에 미치는 영향)

  • Park, Jong-Hoon;Sung, Jaeyong
    • Journal of the Korean Society for Geothermal and Hydrothermal Energy
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    • v.17 no.4
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    • pp.15-27
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    • 2021
  • In this study, the effect of design factors in a pump station on the pressure variations which are the main cause of water hammering has been investigated by numerical simulations. As design factors, the flow rate, Young's modulus, diameter, thickness, roughness coefficient of pipeline are considered. The relationships between the pressure variations and the design factors are analyzed. The results show that the pressure variation increases sensitively with the flow rate and Young's modulus, and increases gradually with the thickness and roughness coefficient of pipe, whereas it decreases with the pipe diameter. The wavelength of the pressure wave becomes longer for a smaller Young's modulus, a smaller pipe thickness and a bigger pipe diameter. These relationships are nondimensionalized, and logarithmic curve-fitted functions are proposed by regression analysis. Most effective factors on the nondimensional pressure variation is Young's modulus. Flow rate, roughness coefficient, relative thickness and pipe diameters are the next impact factors.

Calculation of Sidewall Lateral Stiffness of a Radial Tire Using Material Properties of Rubber Compounds (고무배합물의 물성을 이용한 레이디얼 타이어의 사이드월 횡강성 계산)

  • Kim, Yong-Woo;Kim, Jong-Guk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.10
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    • pp.1667-1675
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    • 2003
  • This paper has considered the calculation of lateral stiffness of radial tire's sidewall, which consists of cord stiffness and rubber sheet stiffness, by using the material constants of rubber compounds of tire. We have suggested and illustrated how to calculate the rubber sheet lateral stiffness by considering the following aspects. First, the rubber sheet consists of various kinds of rubber compounds with different thickness along the sidewall in the radial direction. Secondly, equivalent Young's modulus of the rubber sheet can be calculated by using available experimental data of rubber compounds. The present method enables us to divide the calculation domain as many as we want, which can reduce numerical error in the calculation of geometrical and mechanical properties. We have illustrated the calculation by using the data of the radial tire for passenger car of P205/60R15.

Study on the Rheological Properties of Acorn Starch(III) -Effect of sucrose on the Rheological Properties of Acorn Starch- (Acorn Starch의 유변학적 성질에 관한 연구(III) -Acorn Starch의 유변학적 성질에 미치는 Surcrose 효과를 중심으로-)

  • 김남희
    • The Korean Journal of Rheology
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    • v.10 no.1
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    • pp.7-13
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    • 1998
  • 중량 평균 분자량이 1.22$\times$106이고 다분산도가 8.90이며 수분과 아밀로오스 함량이 각각 9.35%, 27%인 도토리 전분에 sucrose를 첨가하여 동적 유변학적 특성에 대한 온도와 농도의존성을 고찰하였다. AS(acorn starch)-sucrose 계의 점도는 전단속도가 증가하면 감 소하는 전단담화 현상을 나타내며 sucrose 농도가 증가할수록 점도가 증가하였고, Casson 식에 의해 얻어진 항복치는 sucrose 농도가 증가하면 증가하였다. 저장영률과 손실영률은 sucrose 농도가 증가하면 단일하게 증가하였고 손실 탄성률은 온도가 증가하면 감소하였다. DSC 측정자료를 zipper model에 적용시켜 본 결과 sucrose 농도가 증가할수록 zipper의 수 와 junc-tion zone의 수는 증가했으며 크기는 감소하였다. Sucrose는 전분과 수소결합을 형 성하여 용액내에서 가소제처럼 거동함을 알수있었다.

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Thickness Measure and Characteristic Length for Effective Young's Modulus of Model Ice Plate in the Ice Basin (빙해수조 모형빙판의 두께 계측과 유효탄성계수용 특성길이 연구)

  • Lee, Jae-Hwan;Choi, Bong-Kyun;Lee, Chun-Ju
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.353-360
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    • 2014
  • The model ice is created at KRISO (Korea Research Institute for Ships and Ocean Engineering) ice basin where model ship is tested to obtain the necessary data in order to design the ice breaking vessels and ocean structures operating in the northern pole sea area. Through the model ship test, ice breaking, clearing, ice-ship and ice-propeller interaction behavior can be obtained. Since mechanical properties of ice plate are required for the model test, some tests are performed to obtain the properties in this paper. First, ultrasonic devide is used to measure the thickness of the model ice plate and the results show the possibility of using ultrasonic method, yet more sophisticated device or special sensors are required to measure the ice thickness completely. And the defection of ice plate is measured using LVDT to compute the characteristic length of ice plate on the fluid, which is used to get the effective Young's modulus of model ice.

Effect of femoral mechanical properties on primary stability of cementless total hip arthroplasty: a finite element analysis

  • Reimeringer, Michael;Nuno, Natalia
    • Advances in biomechanics and applications
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    • v.1 no.3
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    • pp.187-210
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    • 2014
  • With the goal of increasing the survivorship of the prosthesis and anticipating primary stability problems of new prosthetic implants, finite element evaluation of the micromotion, at an early stage of the development, is mandatory. This allows assessing and optimizing different designs without manufacturing prostheses. This study aimed at investigating, using finite element analysis (FEA), the difference in the prediction of the primary stability of cementless hip prostheses implanted into a $Sawbones^{(R)}$ 4th generation, using the manufacturer's mechanical properties and using mechanical properties close to that of human bone provided by the literature (39 papers). FEA was carried out on the composite $Sawbones^{(R)}$ implanted with a straight taper femoral stem subjected to a loading condition simulating normal walking. Our results show that micromotion increases with a reduction of the bone material properties and decreases with the augmentation of the bone material properties at the stem-bone interface. Indeed, a decrease of the cancellous Young modulus from 155MPa to 50MPa increased the average micromotion from $29{\mu}m$ up to $41{\mu}m$ (+42%), whereas an increase of the cancellous Young modulus from 155MPa to 1000MPa decreased the average micromotion from $29{\mu}m$ to $5{\mu}m$ (-83%). A decrease of cortical Young modulus from 16.7GPa to 9GPa increase the average global micromotion from $29{\mu}m$ to $35{\mu}m$ (+33%), whereas an increase of the cortical Young modulus from 16.7GPa to 21GPa decreased the average global micromotion from $29{\mu}m$ to $27{\mu}m$ (-7%). It can also be seen that the material properties of the cancellous structure had a greater influence on the micromotion than the material properties of the cortical structure. The present study shows that micromotion predicted at the stem-bone interface with material properties of the $Sawbones^{(R)}$ 4th generation is close to that predicted with mechanical properties of human femur.

Microstructure and Mechanical Properties of $Ti_3Al-Nb$ Alloys and TiB(Ti-25Al-11Nb) Metal Matrix Composite Fabricated by Spark Plasma Sintering Process (방전플라즈마 소결법으로 제작된 $Ti_3Al-Nb$ 합금 및 TiB/(Ti-25Al-11Nb) 금속기 복합재료의 미세조직과 기계적 성질)

  • 이성열
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.1
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    • pp.124-133
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    • 2003
  • Ti-25Al-xNb (x=0, 3, 7, 11, 13 at. %) alloys and 18 vol. % TiB/(Ti-25Al-11Nb) metal matrix composite were fabricated by spark plasma sintering process at 900-120$0^{\circ}C$. Microstructural characteristics of the sintered bodies were identified by SEM, EDX analysis, X-ray diffraction, and differential scanning calorimeterric method. $Ti_3Al$ alloy was consisted of equiaxed $\alpha_2$ phase. $Ti_3Al-Nb$ alloys and the matix of TiB/(Ti-25Al-11Nb) metal matrix composite had the morphology that O phase was precipitated at the grain boundary of $\alpha_2$phase. Volume fraction of O phase and hardness were depended on the concentration of Nb in $Ti_3Al-Nb$ alloy, Rule of mixing could be applied to hardness and Young's modulus of 18 vol. % TiB/(Ti-25Al-11Nb) metal matrix composite.