• Title/Summary/Keyword: 비선형 응력-변형률 관계

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A Constitutive Model for Normally Consolidated Clays (정규압밀점토의 응력 -변형률 구성 방정식)

  • 이영휘
    • Geotechnical Engineering
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    • v.8 no.2
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    • pp.71-80
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    • 1992
  • A new constitutive model is proposed for normally consolidated clays. A main skeleton of the proposed model is based on the concepts of the incremental stress-strain theory by Roscoe and Poorooshasb. The equation of the undrained stress path is formulated by introducing the new pore pressure parameter(C), which is the slope of the linear line in the plot of the normalized pore pressure against the stress ratio. Once the stress increment along the constant stress ratio path (followed by untrained stress path) is know, the volumetric strains are calculated from the linear characteristics between void ratio and logarithm of the mean normal stress for any stress ratio. Then the incremental shear strains are successfully predicted by applying the flow rule derived in the modified theory by Roscoe and Burland.

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Nonlinear Finite Element Analysis of RC Shear Walls under Cyclic Loadings (반복하중을 받는 철근콘크리트 전단벽의 비선형 유한요소 해석)

  • 곽효경;김도연
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.4
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    • pp.353-367
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    • 2003
  • This paper describes the extension of the numerical model, which was developed to simulate the nonlinear behavior of reinforced concrete (RC) structures subjected to monotonic in plane shear and introduced in the companion paper, to simulate effectively the behavior of RE structures under cyclic loadings. While maintaining all the basic assumptions adopted in defining the constitutive relations of concrete under monotonic loadings, a hysteretic stress strain relation of concrete, which across the tension compression region, is defined. In addition, unlike previous simplified stress strain relations, curved unloading and reloading branches inferred from the stress strain relation of steel considering the Bauschinger effect we used. The modifications of the stress strain relation of steel are also introduced to reflect pinching effect depending on the shear span ratio and an average stress distribution in a cracked RC element. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

Prediction of Non-linear Behavior of Flexible Matrix Composites (유연수지를 기지재료로 하는 복합재료의 비선형거동 예측)

  • 서영욱;우경식
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.10
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    • pp.24-31
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    • 2006
  • In this paper, mechanical behavior of unidirectional composites with flexible matrix was predicted by geometrical non-linear finite element analysis. Two typical idealized unit cells of square and hexagonal fiber arrays were modeled and these were subjected to different loadings. The stress-strain behavior of composites was predicted from which the effective properties were calculated. The hyperelasticity of polyurethane matrix was considered using Mooney-Rivlin model. In result, the stress-strain behavior of flexible composites shows non-linearity, especially it is remarkable under transverse normal and shear loading conditions. In this cases, there are great difference between square and hexagonal fiber array models.

A Study on the Nonlinear Buckling Behavior of Thin-Walled Sections (박판단면의 비선형 좌굴거동에 관한 해석적연구)

  • Jin, Chang Sun;Kwon, Young Bong
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.407-421
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    • 1998
  • The purpose of this paper is to provide and verify an analytical method, based on the spline finite strip method, which can be used to investigate the buckling mode and stress of thin-walled steel sections. Geometric imperfection and initial stress of plates and plate assemblies, which are resulted from various preloadings and may cause prebuckling deformations before buckling, are included in the analysis. Material nonlinearity and residual stress are also considered. It can be applied to sections with simple or non-simple boundary conditions and arbitrary loading. The method has been applied to investigate the buckling behavior of plates and plate assemblies which are subjected to compression with initial imperfections and residual stresses.

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Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening (변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법)

  • Baek, Ki Youl
    • Journal of Korean Society of Steel Construction
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    • v.19 no.3
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    • pp.291-301
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    • 2007
  • The overlay model is a certain kinds of numerical analysis method to present the material non-lineariy which is represented the baushinger effect and the strain hardening. This model simulates the complex behavior of material by controlling the properties of the layers which like the hardening ratio, the section area and the yield stress. In this paper, the constitutive equation and plastic flow rule of each layer which are laid in the plane stress field are obtained by using the thermodynamics. Two numerical examples were tested for the validity of proposed method in uniaxial stress and plane stress field with comparable experimental results. The only parameter for the test is the yield stress distribution of each layers.

Evaluation for Confined Effects by the Sectional Properties of Concrete Filled Steel Tube Columns (콘크리트 충전형 압축부재의 단면특성에 따른 구속효과 평가)

  • Park, Kuk-Dong;Hwang, Won-Sup;Kim, Hee-Ju;Jun, Myung-Il
    • Journal of Korean Society of Steel Construction
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    • v.22 no.4
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    • pp.365-375
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    • 2010
  • Concrete-filled steel tube columns are expected to have confined effects of the steel on the concrete and reinforced local buckling effects of the concrete. After comparing the results of existing studies with the experimental results from this study, the stress-strain relations were modified by evaluating the load-displacement with consideration of the confined effects. The effects of the parameters on the load-displacement and moment-curvature relationship according to the sectional and material properties were analyzed.

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

  • Hyun, Hong-Chul;Lee, Jin-Haeng;Lee, Hyung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.21-28
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    • 2008
  • Stress-strain curves based on Ramberg-Osgood and Hollomon relations are strongly dependent upon the regressed range of strain. This work investigates mathematical expressions of true stress-strain curves of metallic materials. We first observe the variation of yield strength, strain hardening exponent and stress-strain curve with regressed range of stain. Based on sectional regression and expression using one or two parameters, we propose an optimal strain range for which yield strength and nonlinear material behavior are quite appropriate.

Implicit Stress Integration of the Generalized Isotropic Hardening Constitutive Model : 1. Formulation (일반 등방경화 구성관계에 대한 내재적인 음력적분 : 1. 정식화)

  • 오세붕;이승래
    • Geotechnical Engineering
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    • v.12 no.4
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    • pp.145-156
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    • 1996
  • An implicit stress integration algorithm was formulated for implementing an aiusotorpic hardening constitutive model which has been based op the generalized isotropic hardening rule in nonlinear finite element analysis technique. the rate form of stress tensor was implicitly integrated using the generalized trapezoidal rule and the tangent stress-strain modulus was evaluated consistently with the nonlinear solution technique. As a result, it has been found that the nonlinear analysis with the anisotropic hardening constitutive model might be performed accurately and efficiently.

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Non-linear Dynamic Analysis of Reinforced Concrete Slabs Subjected to Explosive Loading Using an Orthotropic Concrete Constitutive Model (이등방성 콘크리트 모델을 이용한 폭발하중을 받는 철근콘크리트 슬래브의 비선형 동적해석)

  • Lee, MinJoo;Kwak, Hyo-Gyoung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.6
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    • pp.409-416
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    • 2019
  • An improved numerical model for non-linear analysis of reinforced concrete (RC) slabs subjected to blast loading is proposed. This approach considers a strain rate dependent orthotropic constitutive model that directly determines the stress state using the stress-strain relation acquired from the data obtained using the biaxial strength envelope. Moreover, the bond-slip between concrete and reinforcing steel is gradually enlarged after the occurrence of cracks and is concentrated in the plastic hinge region. The bond-slip model is introduced to consider the crack direction of the concrete under a biaxial stress state. Correlation studies between the numerical analysis and the experimental results were performed to evaluate the analytical model. The results show that the proposed model can effectively be used in dynamic analyses of reinforced concrete slab members subjected to explosive loading. Moreover, it was determined that it is important to consider biaxial behavior in the material model and the bond-slip effect.

Anisotropic Elastic Shear Moduli of Sands Measured by Multi-directional Bender Element Tests in Stress Probe Experiments (사질토의 전단 하중 재하 시 다축 벤더엘리먼트 시험으로 구한 이방적 전단탄성계수)

  • Ko, Young Joo;Jung, Young Hoon;Lee, Choong Hyun;Chung, Choong Ki
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.3C
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    • pp.159-166
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    • 2008
  • The stress-strain behavior of soils can usually be regarded as non-linear, while it is also known that the soil exhibits the linear-elastic behavior at pre-failure state (very small strain range, $<10^{-3}%$). This study aims to analyze the variation of anisotropic elastic shear moduli of granular soils in various stress conditions. The stress probe experiments with the triaxial testing device equipped with local strain gages and multi-directional bender elements were conducted. When the stress ratio exceeds the range between -0.5 and 1.5, the elastic shear stiffness in the axial direction deviates from the empirical correlation with current stresses, which indicates that the yielding of soils alters the internal pathway through which the elastic shear wave propagates. The experimental results show that the variation of elastic shear moduli in the horizontal direction closely relates to the volume change of soils.