• 제목/요약/키워드: Deformation Modulus

검색결과 612건 처리시간 0.03초

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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    • 제20권1호
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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.

전자기 성형에서의 변형률 속도 효과 해석 (Analysis of the Strain Rate Effect in Electro-Magnetic Forming)

  • 곽신웅;신효철;이종수
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1043-1058
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    • 1990
  • 본 연구에서는 전자기 성형법에 의한 원통형상의 가공재의 자유 확관성형 가 공에 대해서 유한요소해석법을 이용한 변형 및 응력해석을 수행하였다. 탄소성 재료 모형을 확장하여 변형 경화율이 변형률 및 변형률 속도의 지배를 받는 변형률 속도 종 속 탄소성 재료 모형을 도입하였고, 1차 제하 이후까지 포함하여 고속 성형시 변형률 속도 효과에 의해 발생하는 현상들에 대해서 연구하였다.결과의 비교 및 논의를 위 하여, 해석대상과 성형조건, 그리고 가공재에 작용하는 자기압력은 Suzuki의 것과 동 일한 것을 사용하였다.

A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation

  • Bounouara, Fatima;Benrahou, Kouider Halim;Belkorissat, Ismahene;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제20권2호
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    • pp.227-249
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    • 2016
  • The objective of this work is to present a zeroth-order shear deformation theory for free vibration analysis of functionally graded (FG) nanoscale plates resting on elastic foundation. The model takes into consideration the influences of small scale and the parabolic variation of the transverse shear strains across the thickness of the nanoscale plate and thus, it avoids the employ use of shear correction factors. Also, in this present theory, the effect of transverse shear deformation is included in the axial displacements by using the shear forces instead of rotational displacements as in available high order plate theories. The material properties are supposed to be graded only in the thickness direction and the effective properties for the FG nanoscale plate are calculated by considering Mori-Tanaka homogenization scheme. The equations of motion are obtained using the nonlocal differential constitutive expressions of Eringen in conjunction with the zeroth-order shear deformation theory via Hamilton's principle. Numerical results for vibration of FG nanoscale plates resting on elastic foundations are presented and compared with the existing solutions. The influences of small scale, shear deformation, gradient index, Winkler modulus parameter and Pasternak shear modulus parameter on the vibration responses of the FG nanoscale plates are investigated.

섬(Island) 구조로 이루어진 강성도 국부변환 신축성 기판의 변형 거동 (Deformation Behavior of Locally Stiffness-variant Stretchable Substrates Consisting of the Island Structure)

  • 오현아;박동현;신수진;오태성
    • 마이크로전자및패키징학회지
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    • 제22권4호
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    • pp.117-123
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    • 2015
  • 신축성 디바이스용 강성도 국부변환 기판기술을 개발하기 위해 강성도가 서로 다른 두 polydimethylsiloxane 탄성고분자를 사용하여 섬(island) 구조로 이루어진 강성도 국부변환 신축성 기판을 형성하고 변형 거동을 분석하였다. 기판 기지로는 탄성계수가 0.09 MPa인 Dragon Skin 10을 사용하였으며, 섬 구조의 강성도 국부변환부는 탄성계수가 2.15 MPa인 Sylgard 184를 사용하였다. 신축성 기판의 형상은 길이 6.5 cm, 두께 0.4 cm, 폭 2.5 cm 이었다. Dragon Skin 10 기지에 폭 1 cm, 길이 1~6 cm인 Sylgard 184의 삽입에 의해 신축성 기판의 탄성계수가 0.09 MPa에서 0.13~0.33 MPa로 증가하였다. 길이 4 cm, 폭 0.5~1.5 cm인 Sylgard 184 강성도 국부변환부를 내재시킴에 따라 신축성 기판의 탄성계수가 0.16~0.2 MPa로 증가하였으며, 길이 2 cm, 폭 0.5~1.5 cm인 강성도 국부변환부를 내재시킴에 따라 탄성계수가 0.142~0.154 MPa로 증가하였다. 신축성 기판의 변형률이 증가함에 따라 Sylgard 184와 Dragon Skin 10의 강도 차이가 현저히 증가하는데 기인하여 강성도 국부변환부의 변형억제 효과가 향상되었다.

압축응력인가에 따른 적층 액츄에이터의 특성

  • 고중혁;송재성;홍원표;최헌종;정순종
    • 한국반도체및디스플레이장비학회:학술대회논문집
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    • 한국반도체및디스플레이장비학회 2004년도 춘계학술대회 발표 논문집
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    • pp.263-267
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    • 2004
  • This study presents the combined effect of electric field application and mechanical compressive stress loading on deformation in a multilayer ceramic actuator, designed with stacking 0.2($PbMn_{1/3}Nb_{2/3}O_{3}$)-0.8($PbZr_{0.475}Ti_{0.525}O_{3}$) ceramics and Ag-Pd electrode, alternately. The deformation behaviors were attributed to relative $180^{\circ}$domain, determined by pre-loaded compressive stress and electric field. The non-linearity of piezoelectricity and strain are dependent upon the young's modulus resulting from the domain reorientation.

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국내에 분포하는 암반의 물리·역학적 특성 분석 (Analysis on Physical and Mechanical Properties of Rock Mass in Korea)

  • 서용석;윤현석;김동규;권오일
    • 지질공학
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    • 제26권4호
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    • pp.593-600
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    • 2016
  • 본 연구에서는 국내의 107개 터널 설계 과정에서 수행한 현장 및 실내시험 자료 4,280개를 이용하여 암반 및 무결암의 역학적 특성을 암종 및 강도별로 분석하였다. 분석된 물리 및 역학적 특성은 단위중량, 점착력, 내부마찰각, 변형계수, 탄성계수, 포아송비, 일축압축강도, 인장강도, 투수계수, 비중이다. 평균값의 분석 결과에 의하면 편마암은 비중, 화강암은 투수계수, 퇴적암은 단위중량과 점착력, 내부마찰각, 화산암은 변형계수와 탄성계수, 일축압축강도, 인장강도, 변성암은 포아송비에서 가장 높은 값을 보인다. 역학적 특성의 분포 범위는 암종 및 강도를 고려한 분석에도 불구하고 넓게 분포하며, 이는 암반의 불균질성과 이방성에 기인하는 것으로 판단된다.

진동전단유동장에서 점탄성 반고형 연고기제(바셀린)의 레올로지 거동 (Rheological Behavior of Viscoelastic Semi-Solid Ointment Base (Vaseline) in Oscillatory Shear Flow Fields)

  • 송기원;장갑식
    • Journal of Pharmaceutical Investigation
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    • 제36권1호
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    • pp.31-38
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    • 2006
  • Using a Rheometries Dynamic Analyzer (RDA II), the dynamic viscoelastic properties of a semi-solid ointment base (vaseline) in large amplitude oscillatory shear flow fields were measured over a temperature range of $25{\sim}45^{\circ}C$ and the linear viscoelastic behavior in small amplitude oscillatory shear flow fields was investigated over a wide range of angular frequencies. In this article, the nonlinear viscoelastic behavior was reported from the experimentally obtained data and the effect of temperature on this behavior was discussed in detail. In addition, the angular frequency and temperature dependencies of a linear viscoelastic behavior were explained. Finally, the applicability of a time-temperature superposition principle originally developed for polymeric materials was examined using a shift factor. Main results obtained from this study can be summarized as follows : (1) At very small strain amplitude region, vaseline shows a linear viscoelastic behavior independent of the imposed deformation magnitudes. Above a critical strain amplitude $({\gamma}_{0}=0.1{\sim}0.2%)$, however, vaseline exhibits a nonlinear viscoelastic behavior ; indicating that both the storage modulus and dynamic viscosity are sharply decreased with increasing deformation magnitude. (2) In large amplitude oscillatory shear flow fields, an elastic behavior (storage modulus) has a stronger strain amplitude dependence and begins to show a nonlinear behavior at a smaller strain amplitude region than does a viscous behavior (dynamic viscosity). (3) In small amplitude oscillatory shear flow fields, the storage modulus as well as the loss modulus are continuously increased as an increase in angular frequency and an elastic nature is always superior to a viscous behavior over a wide range of angular frequencies. (4) A time-temperature superposition principle can successfully be applicable to vaseline. This finding allows us to estimate the dynamic viscoelastic behavior of vaseline over an extraordinarily extended range (11 decades) of angular frequencies inaccessible from the experimentally measured range (4 decades).

사파이어 의료용 나이프의 연삭가공에서 지그의 탄성계수가 날 부 형상에 미치는 영향 : 제2보 탄성계수와 치핑 현상의 검증 (Effect of the Elasticity Modulus of the Jig Material on the Blade Edge Shape in the Grinding Process of Sapphire Medical Knife - Part 2 Verification of the Chipping Phenomenon and Elastic Modulus of the Jig Material)

  • 신건휘;강병욱;곽태수
    • 한국기계가공학회지
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    • 제16권5호
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    • pp.63-68
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    • 2017
  • This study determines the selection of an appropriate jig material for the blade edge of the medical sapphire knife. The physical properties of the jig material affects the edge shape and chipping phenomenon in machining of the medical sapphire knife. If a grinding wheel is used, brittle workpieces such as sapphire are easily damaged by the propagation of cracks because the grinding force significantly increases. It is important to constantly maintain the grinding force in the grinding process of the brittle materials. The grinding force can be kept constantly by inducing the elastic deformation of the Jig material because the elastic deformation of brittle work-piece is negligibly low. The chipping phenomenon may be reduced by selecting the proper Jig material. Aluminum, copper, stainless steels and carbon steel were used as Jig materials. The experiment was conducted using a cast iron grinding wheel, which was installed on a conventional grinding machine with the ELID grinding system. The thickness and width of the chipping area were measured using an optical microscope and FE-SEM to analyze the shape of the blade edge. According to the experiment result, the chipping phenomenon decreased, and the sharp edge was formed when the jig materials with low elastic modulus were used.

전단응력비 개념에 기초한 강화노반의 영구변형 모델 수립 (Development of A Permanent Deformation Model based on Shear Stress Ratio for Reinforced-Roadbed Materials)

  • 임유진;이성혁;김대성;박미연
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
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    • pp.2049-2056
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    • 2011
  • The reinforced-roadbed materials composed of crushed stones are used for preventing vertical deformation and reducing impact load caused by highspeed train. Repeated load application can induce deformation in the reinforced-roadbed layer so that it causes irregularity of track. Thus it is important to understand characteristics of permanent deformation in the reinforced-subbase materials. The characteristics of permanent deformation can be simulated by prediction model that can be obtained by performing repetitive triaxial test. The prediction model of permanent deformation is a key-role in construction of design method of track. The prediction model of permanent deformation is represented in usual as the hyperbolic function with increase of number of load repetition. The prediction model is sensitive to many factors including stress level etc. so that it is important to define parameters of the model as clearly as possible. Various data obtained from repetitive triaxial test and resonant column test using the reinforced-roadbed of crushed stone are utilized to develop a new prediction model based on concept of shear-stress ratio and elastic modulus. The new prediction model of permanent deformation can be adapted for developing design method of track in the future.

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Correcting the Elastic-modulus Error of Quartz Glass Using Digital Speckle-pattern Interferometry

  • Ziyang Song;Weixian Li;Sijin Wu;Lianxiang Yang
    • Current Optics and Photonics
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    • 제7권4호
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    • pp.337-344
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    • 2023
  • Three-point bending is the main method for measuring the elastic modulus of a thin plate. Although various displacement transducers may be used to measure the bending, these are single-point measurements, and it is difficult to eliminate the error caused by eccentric load and shear force. Error-correction models for the elastic modulus of quartz glass using digital speckle interferometry are proposed for eccentric load and shear force. First, the positional misalignment between maximum deflection and load is analyzed, and the error caused by eccentric load is corrected. Then, the additional displacement caused by shear force at different positions of the quartz glass plate is explored. The effect of shear deformation is also corrected, by measuring two points. Since digital speckle interferometry has the advantage of full-field measurement, it can simultaneously obtain deflection data for multiple points to realize error correction. Experimental results are presented to demonstrate that the proposed model can effectively correct the measurement error of the elastic modulus.