• Title/Summary/Keyword: Stress and Strain Distribution

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A Proposal of New Model for Stress-Strain Relationship and Stress Distribution of Ultra High-Strength Concrete (초고강도 콘크리트에 적합한 응력-변형율 모델과 응력분포 모델의 제안)

  • 장일영;박훈규
    • Magazine of the Korea Concrete Institute
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    • v.9 no.5
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    • pp.197-206
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    • 1997
  • 본 연구에서는 기존의 초고강도 콘크리트에 대한 실험자료를 근거로 합리적인 통계적 기법을 이용하여 초고강도 콘크리트의 설계 실용화를 위한 응력-변형율 관계 모델과 응력분포 모델을 제안하는 것이 목적이다. 이를 위하여 첫째, 콘크리트의 응력-변형율 특성을 결정하는 재료 변수들(탄성계수, 최대 압축강도시 변형율 등)에 대한 검토를 수행하였다. 둘째, 이를 바탕으로 일반성과 정확성을 동시에 갖춘 초고강도 콘크리트(700~1400kg/$\textrm{cm}^2$)에 적합한 응력-변형율 모델을 제안, 비교, 고찰하엿다. 셋째, 제안된 응력-형율 모델로부터 초고강도 콘크리트 구조의 극한강도를 평가하기에 적합한 응력분포모델을 제안, 일반성과 정확성을 비교 검증하였다.

Study on Tensile Properties of Carbon Fiber Reinforced Polymers (CFRP) Laminate with Strain Distribution (변형률 분포를 가진 탄소섬유복합체의 인장특성에 대한 연구)

  • Kim, Yun-Gon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.24 no.6
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    • pp.25-33
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    • 2020
  • To investigate the relationship between strain distribution and tensile properties of brittle material, five types of tensile coupon of carbon fiber reinforced polymer (CFRP) modified the tab portion in order to have a strain distribution including S0, SD1, SD2, SV1, SV2 were tested. The ultimate stress and strain of SD2 and SV2 which was intended to have larger strain distribution were smaller than those of SD1 and SV1, that was more clearly shown in the test results of the symmetric coupons (SV series) than the asymmetric coupons (SD series). In addition, the ultimate stress and strain of most coupons with strain distribution in this study were decreased when compared to the control group with uniform strain. These results were analyzed in various ways through 1) the average of the strain values directly measured by the strain gages, 2) the converted strain calculated by dividing the total deformation by the effective length, and 3) the ultimate effective strain derived from both the elastic modulus and the ultimate load. The values measured by strain gage indicates response of the local region precisely, but it does not represent the response from whole section. However, the converted strain and effective strain can supplement disadvantage of gage because they represent the average response of whole section. In particular, the effective strain can provide rupture strain conservatively, which can be utilized in practice, when the value obtained by strain gage was not effective due to gage damage or abnormal gage readings near ultimate load. This value provides a value that can be used even when partial rupture has occurred and is reasonably useful for specimens with strain distribution.

Evaluation of Biomechanical Stability of Newly Developed Revision Total Knee Arthroplasty through Strain and Stress Distribution Analysis within the Tibia: Finite Element Analysis (경골 내 변형률 및 응력 분포 특성 분석을 통한 새로이 개발된 재치환용 인공슬관절의 생체역학적 안정성 평가: 유한요소해석)

  • Han, Paul;Jang, Young-Woong;Yoo, Oui Sik;Kim, Jung Sung;Kim, Han Sung;Lim, Dohyung
    • Journal of Biomedical Engineering Research
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    • v.34 no.1
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    • pp.14-23
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    • 2013
  • In this study, biomechanical stability of the newly developed revision total knee arthroplasty (rTKA) was evaluated through strain and stress distribution analysis within the implanted proximal tibia using a three-dimensional finite element (FE) analysis. 2000N of compressive load (about 3 times body weight) was applied to the condyle surface on spacer, sharing by the medial (60%) and lateral (40%) condyles simulating a stance phase before toe-off. The results showed that PVMS within the revision total knee arthroplasty and the proximal tibia were less than yield strength considering safe factor 4.0 (rTKA: less than 10%, Cortical bone: less than 70%, Cancellous bone: less than 70%). The materials composed of them and the strain and stress distributions within the proximal tibia were generally well matched with those of a traditional revision total knee arthoplasty (Scorpio TS revision system, Stryker Corp., Michigan, USA) without the critical damage strain and stress, which may reduce the capacity for bone remodeling, leading to bone degeneration. This study may be useful to design parameter improvement of the revision total knee arthoplasty in biomechanical stability point of view beyond structural stability of revision total knee arthoplasty itself.

Study of Stress Distribution of Cold Rolled Steel Sheets in Tension Leveling Process (냉연 형상 교정시 Stress 천이 현상 연구)

  • Choi H. T.;Hwang S. M.;Koo J. M.;Park K. C.
    • Transactions of Materials Processing
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    • v.13 no.6 s.70
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    • pp.497-502
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    • 2004
  • The shape of cold rolled steel sheets is defined as the degree of flatness, and the flatter, the better. Because undesirable strip shapes of cold rolled steel sheets can affect not only visible problem but also automatic working process in customer's lines, the requirement of the customers is more and more stringent. So we usually used the tension leveler to make high quality of strip flatness. For the improvement of the quality of strip flatness, this report developed three- dimensional FEM (Finite Element Method) simulation model, and analysis about the strain and stress distribution of strip in the tension leveling process. The numerical study can be summarized as follows. (1) If we pass the edge wave material (steepness: $1.0\%$) that the stress-difference between the strip center and the edge is 5.2kgf through tension leveler. the stress-difference is decreased 0.45kgf and the steepness is improved to $0.29\%$. (2) If the Intermesh is increased from 6mm to 7mm, the steepness is improved from $0.294\%$ to $0.268\%$. (3) If the initial steepness is decreased form $1.0\%$ to $0.75\%$, the final steepness is improved from $0.294\%$ to $0.263\%$. We know that more increased intermesh and lower initial steepness make the final steepness improved.

Theoretical analysis of stress-strain behavior of multi-layer RC beams under flexure

  • Ertekin Oztekin
    • Structural Engineering and Mechanics
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    • v.90 no.5
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    • pp.505-515
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    • 2024
  • In this study, obtaining theoretical stress-strain curves and determining the parameters defining the equivalent rectangular stress block were aimed for 3 and 4-layered rectangular Reinforced Concrete (RC) cross-sections subjected to flexure. For these aims, the analytical stress-strain model proposed by Hognestad was chosen for the concrete grades (20 MPa≤fck≤60 MPa) used in this study. The tensile strength of the concrete was neglected and the thickness of the concrete layers in the compression zone of the concrete cross-section was taken as equal. In addition, while concrete strength was kept constant within each layer, concrete strengths belonging to separate layers were increased from the neutral axis towards the outer face of the compression zone of the concrete cross-section. After the equivalent rectangular stress block parameters were determined by numerical iterations, variations of these parameters depending on concrete strength in layers and layer numbers were obtained. Finally, some analytical equations have been proposed to predict the equivalent stress block parameters for the 3 and 4-layered RC cross-sections and validities of these proposed equations were shown by different metrics in this study.

Experimental investigation on CFRP-to-concrete bonded joints across crack

  • Anil, Ozgur;Belgin, Cagatay M.;Kara, M. Emin
    • Structural Engineering and Mechanics
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    • v.35 no.1
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    • pp.1-18
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    • 2010
  • Bonding of carbon fiber reinforced polymer (CFRP) composites has become a popular technique for strengthening concrete structures in recent years. The bond stress between concrete and CFRP is the main factor determining the strength, rigidity, failure mode and behavior of a reinforced concrete member strengthened with CFRP. The accurate evaluation of the strain is required for analytical calculations and design processes. In this study, the strain between concrete and bonded CFRP sheets across the notch is tested. In this paper, indirect axial tension is applied to CFRP bonded test specimen by a four point bending tests. The variables studied in this research are CFRP sheet width, bond length and the concrete compression strength. Furthermore, the effect of a crack- modeled as a notch- on the strain distribution is studied. It is observed that the strain in the CFRP to concrete interface reaches its maximum values near the crack tips. It is also observed that extending the CFRP sheet more than to a certain length does not affect the strength and the strain distribution of the bonding. The stress distribution obtained from experiments are compared to Chen and Teng's (2001) analytical model.

Study on the Wrinkling Prediction in Sheet Metal Stamping Processes (박판 스탬핑 공정의 주름발생 예측에 관한 연구)

  • 황보원;금영탁
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.3
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    • pp.131-142
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    • 2001
  • A wrinkling is the instability phenomenon influenced by material properties, shape geometry, forming conditions, stress state, etc. The wrinkling is considered as a critical defect in appearance of product. Many wrinkling prediction methods using thickness strain distribution and farming analysis have been proposed. The wrinkling, however, is not easily predicted precisely by these methods. In this study, the region in the biaxial plane stress state is modeled with a rectangular plate introducing the effective dimension, and critical stress values for the wrinkling are calculated. Prediction index for the wrinkling is then evaluated by normalizing the actual stress with respect to the critical stress. In order to show the validity and efficiency of the method proposed, the wrinkling prediction for a squared sheet in the uniaxial tensile stress and auto-body front finder panel is performed.

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Transient Temperature Drstributions in a Adiabatic Plate Due to Resistance Spot Welding (저항점용접(抵抗點熔接)에 따른 과도적(過渡的) 냉각(冷却) 온도이력(溫度履歷))

  • Hyo-Chul,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.9 no.1
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    • pp.15-20
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    • 1972
  • As the technique of resistance spot welding became more and more advanced the factors hitherto considered secondary become more and more important. Among these factors the distribution of heat and temperature during resistance spot welding is particularly important in conjunction with thermal stress, strain and residual stress, strain problems. The analytical investigations upon the transient temperature due to resistance spot welding were made for the carbon steel plate and aluminum alloy plate. The numerical values obtained by the analytical investigation are nearly identical with the temperature distribution which obtained by D.J. Sullivan and some other experimental data. It was thought therefore useful to estimate the heat effect upon the material such as a residual stress and strain, metalurgical change, change in physical properties and etc.

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Cracking behavior of RC shear walls subject to cyclic loadings

  • Kwak, Hyo-Gyoung;Kim, Do-Yeon
    • Computers and Concrete
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    • v.1 no.1
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    • pp.77-98
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    • 2004
  • This paper presents a numerical model for simulating the nonlinear response of reinforced concrete (RC) shear walls subject to cyclic loadings. The material behavior of cracked concrete is described by an orthotropic constitutive relation with tension-stiffening and compression softening effects defining equivalent uniaxial stress-strain relation in the axes of orthotropy. Especially in making analytical predictions for inelastic behaviors of RC walls under reversed cyclic loading, some influencing factors inducing the material nonlinearities have been considered. A simple hysteretic stress-strain relation of concrete, which crosses the tension-compression region, is defined. Modification of the hysteretic stress-strain relation of steel is also introduced to reflect a pinching effect depending on the shear span ratio and to represent an average stress distribution in a cracked RC element, respectively. To assess the applicability of the constitutive model for RC element, analytical results are compared with idealized shear panel and shear wall test results under monotonic and cyclic shear loadings.

Effect of Interface in Three-phase Cord-Rubber Composites (세 가지 상을 갖는 코드섬유-고무 복합재료의 계면의 영향)

  • Kim, Jong-Kuk;Yum, Young-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.11
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    • pp.1249-1255
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    • 2009
  • Cord-rubber composites widely used in tires show very complicated mechanical behavior such as nonlinearity and large deformation. Three-phase(cord, rubber and the interface) modeling has been used to analyze the stress distribution in the cord-rubber composites more accurately. In this study, finite element methods were performed using two-dimensional generalized plane strain element and plane strain element to investigate the stress distribution and effective modulus of cord-rubber composites. Neo Hookean model was used for rubber property and several interface properties were assumed for various loading directions. It was found that the interface properties affect the effective modulus and the distributions of shear stress.