• 제목/요약/키워드: Stress-Strain Relation of Material

검색결과 110건 처리시간 0.029초

금속재료 응력-변형률 곡선의 수학적 표현들 (Mathematical Expressions for Stress-Strain Curve of Metallic Material)

  • 현홍철;이진행;이형일
    • 대한기계학회논문집A
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    • 제32권1호
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    • pp.21-28
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    • 2008
  • 본 연구에서는 인장과 압축실험 데이터를 사용하여 재료의 응력-변형률 곡선을 얻었다. 시편에 네킹 현상이 발생하기 전에는 인장실험의 결과를 토대로 각 재료의 영률값과 항복강도를 찾았다. 이후 비선형 거동은 압축실험의 데이터를 이용해 나타냈다. 이렇게 얻어진 재료의 실제응력-변형률 곡선을 구간 멱함수법을 사용해 변형률 구간별로 회귀하였다. 회귀하여 구한 곡선과 실제 재료의 응력-변형률 곡선을 비교해 최적 회귀방법과 상응하는 변형률 회귀구간을 찾았다. 하나와 두 변수에 의한 회귀를 혼용하면 가장 적절한 회귀 방법이 얻어진다. 우선 두 변수들로 회귀하여 항복강도를 찾는다. 뤼더변형률이 없는 재료의 항복강도를 예측에는 초기구간 데이터만을 이용해야 오차를 최소화 할 수 있다. 한편 뤼더변형률이 재료들은 곡선의 후반부 데이터를 사용해야 정확한 물성치를 찾아낼 수 있다. 이어 항복 강도가 구해진 상황에서 응력-변형률 곡선의 전체 데이터를 사용해, n을 단일변수로 하여 회귀한다. 여기서 얻은 항복강도와 n을 이용하면 실제 실험 응력-변형률 곡선을 가장 유사하게 따라가는 회귀곡선을 얻을 수 있다.

평면연삭에서의 잔류응력 분포에 관한 연구 (A study on residual stress distribution in surface grinding)

  • 김경년;정재천;김기선
    • 오토저널
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    • 제13권6호
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    • pp.109-118
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    • 1991
  • In this study, it is intended to investigate the effect of the grinding conditions such as table feed, down feed, cross feed of residual stress distribution. And this distribution is investigated upon the grinding direction and the its orthogonal direction at ground layers. The material is used carbon steel (SM20C) which usually used to motor axis. And in order to be considered as Bernoulli-Euler beam, the dimension of the specimen is appropriately designed. According as corroiding the ground surface, the residual stress layers are removed and strain which occured on account of unbalance of internal stress is detected by rosette-gate. Through A/D converter and computer, these values are saved and evaluated residual stress by stress-strain relation formula. Finally, these results are diagrammatized with Auto Cad. The results obtained are as follows. As the depth from the ground surface increases in grinding direction and its orthogonal direction, tensile residual stress exists in the surface, and subsequently it becomes compressive residual stress as it goes downward. As the table feed, the cross feed and the down feed increase, maximum residual stress is transformed form the tensile to the compressive.

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Effect of strain ratio variation on equivalent stress block parameters for normal weight high strength concrete

  • Kumar, Prabhat
    • Computers and Concrete
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    • 제3권1호
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    • pp.17-28
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    • 2006
  • Replacement of actual stress distribution in a reinforced concrete (RC) flexural member with a simpler geometrical shape, which maintains magnitude and location of the resultant compressive force, is an acceptable conceptual trick. This concept was originally perfected for normal strength concrete. In recent years, high strength concrete (HSC) has been introduced and widely used in modern construction. The stress block parameters require updating to account for special features of HSC in the design of flexural members. In future, more varieties of concrete may be developed and a corresponding design procedure of RC flexural members will be required. The usual practice is to conduct large number of experiments on various sizes of specimen and then evolve an empirical relation. This paper presents a numerical procedure through which the stress block parameters can be numerically derived for a given strain ratio variation. The material model for concrete is presented and computational procedure is described. This procedure is illustrated with several variations of strain ratio. The advantages of numerical procedure are that it costs less and it can be used with new material models for any new variety of concrete.

변형구배 결정소성 유한요소해석법을 이용한 니켈기 다결정 합금의 Hall-Petch 관계 모델링 (Modeling the Hall-Petch Relation of Ni-Base Polycrystalline Superalloys Using Strain-Gradient Crystal Plasticity Finite Element Method)

  • 최윤석;조경목;남대근;최일동
    • 한국재료학회지
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    • 제25권2호
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    • pp.81-89
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    • 2015
  • A strain-gradient crystal plasticity constitutive model was developed in order to predict the Hall-Petch behavior of a Ni-base polycrystalline superalloy. The constitutive model involves statistically stored dislocation and geometrically necessary dislocation densities, which were incorporated into the Bailey-Hirsch type flow stress equation with six strength interaction coefficients. A strain-gradient term (called slip-system lattice incompatibility) developed by Acharya was used to calculate the geometrically necessary dislocation density. The description of Kocks-Argon-Ashby type thermally activated strain rate was also used to represent the shear rate of an individual slip system. The constitutive model was implemented in a user material subroutine for crystal plasticity finite element method simulations. The grain size dependence of the flow stress (viz., the Hall-Petch behavior) was predicted for a Ni-base polycrystalline superalloy NIMONIC PE16. Simulation results showed that the present constitutive model fairly reasonably predicts 0.2%-offset yield stresses in a limited range of the grain size.

링압축시험에서 역해석을 이용한 유동응력과 마찰상수 결정법 (A method of determining flow stress and friction factor using an inverse analaysis in ring compression test)

  • 최영;김호관;조해용;김병민;최재찬
    • 대한기계학회논문집A
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    • 제22권3호
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    • pp.483-492
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    • 1998
  • An inverse analysis been applied to obtain the flow stress of the material. In this method, a ring-shaped specimen is compressed between two flat tools. This procedure employs, as the object function of inverse analysis, the balance of measured loads and reaction forces calculated by using rigid-plastic finite element method. The balance is explicit scalar function of flow stress which is a function of some unknown constants. For minimizing the balance, Newton-Raphon scheme is used. The friction factor, m, between flat tools and the specimen is determined by using friction area-divided method. The proposed method allows an accurate identification by avoiding the usual assumptions made in order to convert experimental measures into stress-strain relation. In this paper, the proposed method is numerically tested. A commercial pure aluminum was selected, as an example, to apply the method and the results are compared with stress-strain relation obtained by experiments.

소성거동을 고려한 RC 구조물의 간략화 해석모델에 관한 연구 (Development of the Simplified Analysis Model for RC Structures Considering Plastic Behavior)

  • 정연주;유영찬
    • 한국전산구조공학회논문집
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    • 제13권3호
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    • pp.361-371
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    • 2000
  • RC 구조물은 서로 다른 재료적 특성을 지닌 콘크리트와 철근의 복합구조이고, 특히 콘크리트는 복잡한 소성거동을 나타내는 재료이다. 따라서 RC 구조물의 소성해석을 위해서는 콘크리트와 철근 각각의 재료특성과 소성거동을 묘사할 수 있는 세밀한 모델링 기법이 필요하지만, 이때 발생하는 모델링의 어려움, 모델링 규모, 계산용량 및 수렴성 등의 문제점으로 인하여 소성해석 수행에 많은 시간과 노력이 소요되거나 해석자체가 불가능하게 된다. 따라서 본 논문에서는 간편한 RC 구조물의 소성해석을 위해 RC 부재와 동일한 소성거동을 나타내는 균질·등방 재료로의 물성치환 방법을 제시하였다. 물성치환 원리는 RC 부재의 소성거동 특성, 즉 항복모멘트, 항복곡률 및 극한모멘트, 극한곡률로 표현되는 bi-linear 형태의 모멘트-곡률 관계를 이용하여, 이와 동일한 모멘트-곡률 관계(bi-linear 형태의 응력 변형률 관계)를 갖는 균질·등방 재료를 생성하였다. 또한 실제 RC 부재 해석모델과 치환된 균질·등방 재료를 이용한 해석모델에 대한 소성해석 결과를 비교·분석하여 본 연구의 타당성을 검증하였다.

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Longitudinal cracks in non-linear elastic beams exhibiting material inhomogeneity

  • Rizov, Victor I.
    • Structural Engineering and Mechanics
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    • 제71권2호
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    • pp.153-163
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    • 2019
  • Longitudinal fracture behavior of non-linear elastic beam configurations is studied in terms of the strain energy release rate. It is assumed that the beams exhibit continuous material inhomogeneity along the width as well as along the height of the crosssection. The Ramberg-Osgood stress-strain relation is used for describing the non-linear mechanical behavior of the inhomogeneous material. A solution to strain energy release rate is derived that holds for inhomogeneous beams of arbitrary cross-section under combination of axial force and bending moments. Besides, the solution may be applied at any law of continuous distribution of the modulus of elasticity in the beam cross-section. The longitudinal crack may be located arbitrary along the beam height. The solution is used to investigate a longitudinal crack in a beam configuration of rectangular cross-section under four-point bending. The crack is located symmetrically with respect to the beam mid-span. It is assumed that the modulus of elasticity varies continuously according a cosine law in the beam cross-section. The longitudinal fracture behavior of the inhomogeneous beam is studied also by applying the J-integral approach for verification of the non-linear solution to the strain energy release rate derived in the present paper. Effects of material inhomogeneity, crack location along the beam height and non-linear mechanical behavior of the material on the longitudinal fracture behavior are evaluated. Thus, the solution derived in the present paper can be used in engineering design of inhomogeneous non-linear elastic structural members to assess the influence of various material and geometrical parameters on longitudinal fracture.

Electro-Active Paper의 면내압전상수 측정 (Measurement of In-plane Piezoelectric Charge Constant of Electro-Active Paper)

  • 이원섭;윤규영;김흥수;김재환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.943-946
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    • 2007
  • In-plane piezoelectric charge constant of Electro-Active paper (EAPap) was investigated based on direct and converse piezoelectric effects. EAPap samples were made with cellulose film with very thin gold electrode coated on both sides of the film. To characterize direct piezoelectricity of EAPap, induced charge was measured when mechanical stress was applied to EAPap. In-plane piezoelectric charge constant was extracted from the relation between induced charge and applied in-plane normal stress. To investigate converse piezoelectricity, induced in-plane strain was measured when electric field was applied to EAPap. Piezoelectric charge constant was also extracted from the relation of induced in-plane strain and applied electric field. Piezoelectric charge constants obtained from direct and converse piezoelectricity are 31 pC/N and 178 x 10-12m/V for 45 degree sample, respectively. Measured piezoelectric charge constants of EAPap provide promising potential as a piezoelectric material.

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A17075합금의 고온 크리프 활성화에너지의 상태의존성 (State Dependence of Activation Energies for High Temperature Creep of A17075 Alloy)

  • 조용이;김희송
    • 대한기계학회논문집
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    • 제17권1호
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    • pp.131-140
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    • 1993
  • 본 연구에서는 A17075의 활성화에너지의 각 변수 의존성을 온도 보상시간과 Zener-Hollomon 개변수를 써러 조사하고 가장 신빙성이 있는 Miller에 의한 현상론적 크리프식을 조사 연구하였다.

각형 CFT 단주의 하중-변형도 관계 모델 (Modelling of Load-Strain Curves for CFT Stub Columns)

  • 강현식;유영찬;문태섭
    • 한국강구조학회 논문집
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    • 제12권1호통권44호
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    • pp.9-16
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    • 2000
  • 본 연구는 중심 압축을 받는 각형 CFT 단주의 하중-변형도 관계를 추정하기 위한 재료의 응력도-변형도 관계 모델화에 관한 것이다. 수정된 모델은 미일공동연구 결과식 형태를 기본으로 하여 본 연구자가 수행했던 실험결과로 수정된 것이다. 궁극적인 목적은 콘크리트와 강관의 강도 변화에 따른 거동 특성을 평가하기 위한 기초 자료의 제공에 있다.

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