• 제목/요약/키워드: Elastic Strain

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포항분지 제3기 두호층 이암의 크리프 거동 (Creep behaviour of mudstone in the tertiary Duho Formation at Pohang basin)

  • 김광식;김교원
    • 지질공학
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    • 제13권2호
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    • pp.227-238
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    • 2003
  • 암석의 점탄성적 성질에 기인하는 크리프 특성에 대한 이해는 일정하중 하에서 시간에 대한 변형으로 장기적인 지반거동을 예측할 수 있는 중요한 요소이다. 포항지역에 분포하는 제3기 두호층 이암의 크리프 특성을 파악하기 위하여 암석의 기본적인 물성, 역학적 특성 및 크리프 시험을 실시하였다. 대상 이암은 illite 및 chlorite 등 점토광물을 26% 함유하고 있어 큰 크리프 변형을 보였으며, 평균 일축압축강도는 $462{\;}kg/\textrm{cm}^2$ 이었는데, 크리프 시험은 일축압축강도의 40-70% 일정 응력수준에서 수행하였다. 시험 결과 얻어진 시간-변형률 곡선으로부터 암석의 크리프 특성을 규정하는 다양한 경험식 및 이론식의 크리프 상수를 도출하였는데, 그 중 Griggs 경험식 및 Burger 모델의 이론식이 이암의 크리프 특성을 가장 잘 반영하는 것으로 평가되었다. 또, 순간탄성변형률은 응력수준에 정비례하여 증가하였으나, 1차 크리프의 변형률 속도는 응력의 크기와 무관하게 시간 경과에 따라 비슷한 양상으로 감소하였다.

알긴산소오다 함량이 실험적 알지네이트 인상재의 압축변형율, 탄성회복율 및 압축강도에 미치는 영향 (INFLUENCE OF SODIUM ALGINATE CONTENTS ON THE STRAIN IN COMPRESSION, ELASTIC RECOVERY, AND COMPRESSIVE STRENGTH OF EXPERIMENTAL ALGINATE IMPRESSION MATERIALS)

  • 이용식;최부병;이성복
    • 대한치과보철학회지
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    • 제41권2호
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    • pp.243-257
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    • 2003
  • The purpose of this study was to search the influences of the increase of the contents of sodium alginate in the experimental alginates on the some mechanical properties. 3 commercial alginates were selected for the purpose of comparison of the results of experiments. 7 experimental alginates were manufactured with the rise of contents of sodium alginate from 8.8% to 18.3% with the decrease of contents of diatomaceous earth and with the constant contents of calcium sulfate 12.5%. sodium phosphate 2.2%, zinc fluoride 2.0%. Splitable metal mold with 12.5mm diameter and 20.0mm height was filled with mixed alginate to prepare the cylinder shaped specimens. Strain in compression, elastic recovery, compressive strength were tested using the ISO specification number 1563, alginate impression material. Experimental groups were 7, and 10 specimens were used for each test items and each groups. Following results were obtained ; 1. Strain in compression was decreased with the increase of sodium alginate contents (p=0.0077, r2 = 0.6302). 2. Elastic recovery was decreased with the increase of sodium alginate contents but was not significant(p=0.0639, r2=0.7449). 3. Compressive strength was increased with the increase of sodium alginate contents (p<0.0001, r2 = 0.9617). These results mean that the increase of sodium alginate contents make alginate harder but may result the increased permanent deformation.

Web strain based prediction of web distortion influence on the elastic LTB limiting length

  • Bas, Selcuk
    • Steel and Composite Structures
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    • 제43권2호
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    • pp.271-278
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    • 2022
  • Buckling is one of the most critical phoneme in the design of steel structures. Lateral torsional buckling (LTB) is particularly significant for slender beams generally subjected to loading in plane. The web distortion effects on LTB are not addressed explicitly in standards for flexural design of steel I-section members. Hence, the present study is focused to predict the influence of the web distortion on the elastic (Lr) limiting lengths given in American Institute of Steel Construction (AISC) code for the lateral torsional buckling (LTB) behavior of steel beams due to no provision in the code for consideration of web distortion. For this aim, the W44x335 beam is adopted in the buckling analysis carried out by the ABAQUS finite element (FE) program since it is one of the most critical sections in terms of lateral torsional buckling (LTB). The strain results at mid-height of the web at mid-span of the beam are taken into account as the monitoring parameters. The web strain results are found to be relatively greater than the yield strain value when L/Lr is equal to 1.0. In other words, the ratio of L/Lr is estimated from the numerical analysis to be about 1.5 when the beam reaches its first yielding at mid-span of the beam at mid-height of the section. Due to the effect of web distortion, the elastic limiting length (Lr) from the numerical analysis is obtained to be considered as greater than the calculated length from the code formulation. It is suggested that the formulations of the limiting length proposed in the code can be corrected considering the influence of the web distortion. This correction can be a modification factor or a shape factor that reduces sectional slenderness for the LTB formulation in the code.

Mechanical behavior of crumb rubber concrete under axial compression

  • Ren, Rui;Liang, Jiong-Feng;Liu, Da-wei;Gao, Jin-he;Chen, Lin
    • Advances in concrete construction
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    • 제9권3호
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    • pp.249-256
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    • 2020
  • This paper aims at investigating the effect of crumb rubber size and content on compressive behaviors of concrete under axial compression. Concrete specimens are designed and produced by replacing natural aggregate with crumb rubber content of 0%, 5%, 10%, 15% and three different sized crumb rubbers (No. 20, No. 40, No. 80 crumb rubber). And the failure mode, compressive strength, elastic modulus, stress-strain curves, peak strain and ultimate strain are experimentally studied. Based on the test results, formulas have been presented to determine the compressive strength, elastic modulus, the relationship between prism compressive strength and cube compressive strength, stress-strain curves and peak strain of crumb rubber concrete (CRC). It is found that the proposed formulas agree well with the test result on the whole, which may be used to practical applications.

The ground response curve of underwater tunnels, excavated in a strain-softening rock mass

  • Fahimifar, Ahmad;Ghadami, Hamed;Ahmadvand, Masoud
    • Geomechanics and Engineering
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    • 제8권3호
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    • pp.323-359
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    • 2015
  • This paper presents an elasto-plastic model for determination of the ground response curve of a circular underwater tunnel excavated in elastic-strain softening rock mass compatible with a nonlinear Hoek-Brown yield criterion. The finite difference method (FDM) was used to propose a new solution to calculate pore water pressure, stress, and strain distributions on periphery of circular tunnels in axisymmetric and plain strain conditions. In the proposed solution, a modified non-radial flow pattern, for the hydraulic analysis, is utilized. To evaluate the effect of gravitational loads and variations of pore water pressure, the equations concerning different directions around the tunnel (crown, wall, and floor) are derived. Regarding the strain-softening behavior of the rock mass, the stepwise method is executed for the plastic zone in which parameters of strength, dilatancy, stresses, strains, and deformation are different from their elasto-plastic boundary values as compared to the tunnel boundary values. Besides, the analytical equations are developed for the elastic zone. The accuracy and application of the proposed method is demonstrated by a number of examples. The results present the effects of seepage body forces, gravitational loads and dilatancy angle on ground response curve appropriately.

부가중합형실리콘인상재의 물리적 특성에 대한 연구 (A Study on the Physical Properties of Addition Silicone Impression Materials)

  • 김수화
    • 치위생과학회지
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    • 제6권4호
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    • pp.231-235
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    • 2006
  • 본 연구는 부가중합형실리콘인상재의 정밀 인상채득에 영향을 미치는 요인, 압축변형률, 탄성회복률, 점주도와 젖음성을 평가하기 위하여 현재 시판되고 있는 4종류의 인상재 Examixfine(GC), Aquasilultra(Dentsply), Extrude(Kerr), Perfect-F(Handae)를 이용하여 실험하였다. 실험 데이터는 SPSSWIN 12.0을 사용하여 분석하였고, 결과는 다음과 같다. 1. 압축변형률은 Extrude가 4.86%로 가장 낮게 나타났고, Examixfine이 6.78%로 가장 크게 나타났다. Examixfine과 Perfect-F 사이에는 유의한 값의 차이가 없었으나, 다른 인상재 그룹에서는 유의성이 있었다. (p < 0.001). 2. Extrude의 탄성회복률이 99.83%로 가장 크게 나타났고, Perfect-F가 96.54%로 가장 낮게 나타났다. Examixfine과 Aquasilultra 간에는 유의성이 없었으나, 다른 인상재그룹간에는 유의한 차이가 있었다(p < 0.001). 3. 점주도의 측정결과에서 Examixfine이 점주도 값이 45.12mm로 가장 높았고, Perfect-F의 경우 40.28 mm로 가장 낮은 점주도 값을 나타내었다. Examixfine과 Aquasilultra, Extrude와 Perfect-F 간에는 유의한 차이가 나타나지 않았다(p > 0.001). 4. 젖음성에서는 Aquasilultra가 $47.85^{\circ}$로 가장 접촉각이 작게 나타나 친수성이 가장 우수하게 나타났고, Perfect-F는 접촉각이 $94.89^{\circ}$로 접촉각이 크게 나타나 소수성으로 나타났다. 인상재 종류별로도 각각 유의성이 존재하였다 (p < 0.001). 5. 접촉각은 압축변형률(p < 0.01), 탄성회복률(p < 0.01), 점주도(p < 0.05)와 상관관계가 있었고, 탄성회복률과 점주도 와는 음의 상관관계를 보였다. 압축변형률은 접촉각, 탄성회복률과 상관관계가 있었고(p < 0.01), 탄성회복률과 음의 상관관계를 나타냈다. 탄성회복률은 접촉각, 압축변형률과 음의 상관관계를 가지고 있었고(p < 0.01), 점주도도 접촉각과 음의 상관관계를 보였다(p < 0.05).

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강화변형률 솔리드 요소를 사용한 사각형태 층간분리를 갖는 복합적층판의 탄성좌굴해석 (Elastic Buckling Analysis of Laminated Composite Plates with Embedded Square Delamination Using an Enhanced Assumed Strain Solid Element)

  • 박대용;장석윤
    • 복합신소재구조학회 논문집
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    • 제1권2호
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    • pp.1-13
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    • 2010
  • 복합적층구조의 층간분리현상은 탄성좌굴하중을 감소시키며 설계값보다 낮은 수준에서 전체구조물의 파괴를 유발한다. 따라서 복합적층구조의 층간분리 현상은 매우 중요한 문제이며 많은 이론과 실험적인 연구가 진행되어왔다. 본 연구에서는 3차원 이론을 사용한 효과적인 유한요소법에 기초하여 임베디드된 사각형 층간분리 현상을 갖는 복합적층판의 탄성좌굴 거동을 분석하였다. 해석을 위해 개발된 3차원 유한요소는 EAS-SOLID8이라고 이름 붙여졌으며 강화된 대체 변형률 방법을 사용하였다. 임베디드된 사각형 층간분리를 갖는 복합적층판의 탄성좌굴거동 분석을 위해 경계조건, 폭-두께비 변화에 대하여 매개변수 해석을 수행하였다. 본 연구의 그래프와 좌굴모드는 임베디드된 사각형 층간분리를 갖는 복합적층판의 설계에 매우 유용한 자료가 될 것으로 사료된다.

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철도노반의 탄성변위 예측 및 측정을 통한 회복탄성계수 모델 평가 (An Assessment of a Resilient Modulus Model by Comparing Predicted and Measured Elastic Deformation of Railway Trackbeds)

  • 박철수;김은정;오상훈;김학성;목영진
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1404-1414
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    • 2008
  • In the mechanistic-empirical trackbed design of railways, the resilient modulus is the key input parameter. This study focused on the resilient modulus prediction model, which is the functions of mean effective principal stress and axial strain, for three types of railroad trackbed materials such as crushed stone, weathered soil, and crushed-rock soil mixture. The model is composed with the maximum Young's modulus and nonlinear values for higher strain in parallel with dynamic shear modulus. The maximum values is modeled by model parameters, $A_E$ and the power of mean effective principal stress, $n_E$. The nonlinear portion is represented by modified hyperbolic model, with the model parameters of reference strain, ${\varepsilon}_r$ and curvature coefficient, a. To assess the performance of the prediction models proposed herein, the elastic response of a test trackbed near PyeongTaek, Korea was evaluated using a 3-D nonlinear elastic computer program (GEOTRACK) and compared with measured elastic vertical displacement during the passages of freight and passenger trains. The material types of sub-ballasts are crushed stone and weathered granite soil, respectively. The calculated vertical displacements within the sub-ballasts are within the order of 0.6mm, and agree well with measured values with the reasonable margin. The prediction models are thus concluded to work properly in the preliminary investigation.

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Rheology of concentrated xanthan gum solutions: Oscillatory shear flow behavior

  • Song Ki-Won;Kuk Hoa-Youn;Chang Gap-Shik
    • Korea-Australia Rheology Journal
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    • 제18권2호
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    • pp.67-81
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    • 2006
  • Using a strain-controlled rheometer, the dynamic viscoelastic properties of aqueous xanthan gum solutions with different concentrations were measured over a wide range of strain amplitudes and then the linear viscoelastic behavior in small amplitude oscillatory shear flow fields was investigated over a broad range of angular frequencies. In this article, both the strain amplitude and concentration dependencies of dynamic viscoelastic behavior were reported at full length from the experimental data obtained from strain-sweep tests. In addition, the linear viscoelastic behavior was explained in detail and the effects of angular frequency and concentration on this behavior were discussed using the well-known power-law type equations. Finally, a fractional derivative model originally developed by Ma and Barbosa-Canovas (1996) was employed to make a quantitative description of a linear viscoelastic behavior and then the applicability of this model was examined with a brief comment on its limitations. Main findings obtained from this study can be summarized as follows: (1) At strain amplitude range larger than 10%, the storage modulus shows a nonlinear strain-thinning behavior, indicating a decrease in storage modulus as an increase in strain amplitude. (2) At strain amplitude range larger than 80%, the loss modulus exhibits an exceptional nonlinear strain-overshoot behavior, indicating that the loss modulus is first increased up to a certain strain amplitude(${\gamma}_0{\approx}150%$) beyond which followed by a decrease in loss modulus with an increase in strain amplitude. (3) At sufficiently large strain amplitude range (${\gamma}_0>200%$), a viscous behavior becomes superior to an elastic behavior. (4) An ability to flow without fracture at large strain amplitudes is one of the most important differences between typical strong gel systems and concentrated xanthan gum solutions. (5) The linear viscoelastic behavior of concentrated xanthan gum solutions is dominated by an elastic nature rather than a viscous nature and a gel-like structure is present in these systems. (6) As the polymer concentration is increased, xanthan gum solutions become more elastic and can be characterized by a slower relaxation mechanism. (7) Concentrated xanthan gum solutions do not form a chemically cross-linked stable (strong) gel but exhibit a weak gel-like behavior. (8) A fractional derivative model may be an attractive means for predicting a linear viscoelastic behavior of concentrated xanthan gum solutions but classified as a semi-empirical relationship because there exists no real physical meaning for the model parameters.

반복재하(反復載荷)에 의한 점성토(粘性土)의 응력변형특성(應力變形特性) (Stress-Strain Behavior of Clays under Repeated Loading)

  • 조재홍;강예묵;유능환
    • 농업과학연구
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    • 제14권2호
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    • pp.329-344
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    • 1987
  • 과압밀비(過壓密比)와 전단속도(剪斷速度) 및 다짐율(率)이 점성토(粘性土)의 응력변형특성(應力變形特性)에 미치는 영향(影響)을 검토(檢討)하기 위해서 반부극하(反復戟荷)에 의(依)한 삼축압축시험(三軸壓縮試驗)을 한 결과(結果)를 요약(要約)하면 다음과 같다. 1. 반부재하(反復載荷)를 했을 때 같은 변형(變形)에서 축차응력의 차(差)는 큰 변형(變形)에서 반부재하(反復載荷)했을 때 더욱 크게 나타났고 공극수압(空隙水壓)은 제하시(除荷時)에는 감소(減少)하다가 다시 증가(增加)하며 재재하(再載荷)되면서 급격히 증가하는 현상(現象)을 나타냈다. 2. 과압밀비(過壓密比)가 클수록 변형(變形)의 증가(增加)에 따라 회복되는 탄성변형률은 감소(減少)하였으며 제일재하계수(除一載荷係數)는 과압밀비가 증가(增加)할수록 감소(減少)하였다. 3. 전단속도(剪斷速度)가 증가(增加)함에 따라 탄성변형율(彈性變形率)은 증가(增加)하였고 변형(變形)의 증가(增加)에 따라 탄성변형율(彈性變形率)은 감소(減少)하였다. 제일재하계수(除一載荷係數)는 변형(變形)이 증가(增加)함에 따라 감소(減少)하였고 전단속도(剪斷速度)가 빠른 경우에 큰 값을 나타냈다. 4. 회복되는 탄성변형율(彈性變形率)은 다짐율이 증가(增加)함에 따라 크게 나타났고 또 변형(變形)이 증가(增加)함에 따라 탄성변형율(彈性變形率)은 약간 감소(減少)하는 경향(傾向)을 나타냈다. 제일재하계수(除一載荷係數)는 다짐율(率)의 증가(增加)에 따라 뚜렷한 경향(傾向)은 보이지 않았으나 일반적(一般的)으로 변형(變形)이 증가(增加)함에 따라 감소(減少)하는 경향(傾向)을 나타냈다.

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