• Title/Summary/Keyword: Stress-strain model

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Effect of Corrosion Atmosphere and Strain Rate on the Stress Corrosion Cracking of High Strength 7xxx Aluminum Alloy (고강도 7xxx 알루미늄 합금의 응력부식균열에 미치는 부식환경과 응력속도의 영향)

  • Yun, Yeo-Wan;Kim, Sang-Ha
    • Journal of the Korean institute of surface engineering
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    • v.41 no.3
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    • pp.121-128
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    • 2008
  • High strength 7xxx aluminum alloys have been applied to automotive bump back beam of the some limited model for light weight vehicle. The aluminum bump back beam is manufactured through extrusion, bending and welding. The residual stress given on these processes combines with the corrosive atmosphere on the road spreaded with corrosive chemicals to melt snow to occur the stress corrosion cracking. The composition of commercial 7xxx aluminum has Zn/Mg ratio about 3 and Cu over 2 wt% for better strength and stress corrosion cracking resistivity. But this composition isn't adequate for appling to the automotive bump back beam with high resistance to extrusion and bad weldability. In this study the composition of 7xxx aluminum alloy was modified to high Zn/Mg ratio and low Cu content for better extrusion and weldability. To estimate the resistivity against stress corrosion cracking of this aluminum alloy by slow strain rate test, the corrosion atmosphere and strain rate separate the stress corrosion cracking from conventional corrosion must be investigated. Using 0.6 Mol NaCl solution on slow strain rate test the stress corrosion cracking induced fracture was not observed. By adding 0.3% $H_2O_2$ and 0.6M $Na_2SO_4$ to 1M NaCl solution, the corrosion potential and current density of polarization curve moved to active potential and larger current density, and on the slow strain rate test the fracture energy in solution was lower than that in pre-exposure. These mean the stress corrosion cracking induced fracture can be estimated in this 1M NaCl + 0.3% $H_2O_2$ + 0.6M $Na_2SO_4$ solution. When the strain rate was below $2{\times}10^{-6}$, the stress corrosion cracking induced fracture start to be observed.

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.

A Study on the Strain Localization of Concrete (콘크리트의 변형률 국소화에 관한 연구)

  • Seo, Chul;Byun, Keun-Joo;Song, Ha-Won
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.10a
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    • pp.178-182
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    • 1995
  • Strain localization is important phenomenon since it governs the total behavior or ultimate loads in various kinds of engineering problems. Establishment of an analysis method for strain localization phenomena is also of great concern for expansion of fracture mechanics of concrete. Inside zone of localization, a decrese in stress is accompanied by an increse in strain; outside the strain decreses. All deformation localization phenomenon cannot be predicted by both the classical stress-strain formulation and the linear elastic fracture mechanics. In this paper, a simple one dimensional model including localized deformation zone is studied under compressive and tensile loading. When the model is loaded. localization is assumed to occur uniformly in a finite region and material outside the localization zone is modelled as elastic unloading occurs. Size effects of effective elastic moduli under compression and tension in localization zone are examined.

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Modeling on the Nonlinear Rate Sensitivity of Flow Stress (유동응력의 비선형 속도 민감도에 대한 모델링)

  • Ho, Kwang-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.6
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    • pp.670-676
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    • 2004
  • Most metallic materials and alloys show rate independence or negative rate sensitivity in some temperature region when dynamic strain aging occurs. It is generally recognized that negative rate sensitivity is an essential feature of dynamic strain aging that can depend on strain and/or strain rate. The unified viscoplasticity theory based on overstress is applied to reproduce a change of rate sensitivity type that depends on strain or strain rate. This is accomplished through the introduction of a single new term in the growth law of the equilibrium stress, which is a tensor valued state variable of the model. It is also shown that the new term can be used to reproduce a dramatic increase of rate sensitivity in dynamic plasticity.

A Constitutive Model on the Behavior Under $K_0$ Condition for Cohesionless Soils and Optimization Method of Parameter Evaluation Based on Genetic Algorithm (사질토의 $K_0$ 조건하 거동에 대한 구성모델 및 유전자 알고리즘을 적용한 계수의 최적화 산정기법)

  • 오세붕;박현일
    • Journal of the Korean Geotechnical Society
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    • v.20 no.5
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    • pp.37-48
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    • 2004
  • This study is focused on the constitutive model in order to represent brittleness and dilatancy for cohesionless soils. The constitutive model was based on an anisotropic hardening rule derived from generalized isotropic hardening nile, which includes an appropriate hardening equation for the overall strain behavior at small to large strains. The yield surface is a simple cylinder type in stress space and it makes the model practically useful. Hence dilatancy behavior in cohesionless soils could be modeled reasonably. A peak stress ratio was defined in order to model brittle stress-strain relationships. An optimized design methodology was proposed on the basis of real-coded genetic algorithm in order to determine parameters for the proposed model systematically. The material parameters were then determined by that algorithm. In order to verify the proposed model, triaxial tests were performed under $K_0$ conditions far weathered soils. In comparison with the triaxial test results under $K_0$ conditions, the proposed model could calculate appropriately the actual effective stress behavior on brittle stress-strain relationships and dilatancy.

Numerical approach to predict stress-strain model for tie confined self curing self compacting concrete (TCSCSCC)

  • P Swamy Naga Ratna Giri;Vikram Tati;Rathish Kumar P;Rajesh Kumar G
    • Computers and Concrete
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    • v.33 no.2
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    • pp.205-216
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    • 2024
  • Self-Curing Self Compacting Concrete (SCSCC), is a special concrete in contemporary construction practice aimed at enhancing the performance of structural concrete. Its primary function is to ensure a sufficient moisture supply that facilitates hydration along with flow, particularly in the context of high-rise buildings and tall structures. This innovative concrete addresses the challenges of maintaining adequate curing conditions in large-scale projects, maintaining requisite workability, contributing to the overall durability and longevity of concrete structures. For implementing such a versatile material in construction, it is imperative to understand the stress-strain (S-S) behaviour. The primary aim of this study is to develop the S-S curves for TCSCSCC and compare through experimental results. Finite element (FE) analysis based ATENA-GiD was employed for the numerical simulation and develop the analytical stress-strain curves by introducing parameters viz., grade of concrete, tie diameter, tie spacing and yield strength. The stress ratio and the strain ratios are evaluated and compared with experimental values. The mean error is 1.2% with respect to stresses and 2.2% in case of strain. Finally, the stress block parameters for tie confined SCSCC are evaluated and equations are proposed for the same in terms of confinement index.

A Study on Non-linear Behavior in Welded Structures by Mechanical Stress Release Method (기계적 응력 완화법에 의한 용접구조물의 비선형 거동에 관한 연구)

  • 김정현;장경복;윤훈성;강성수;조상명
    • Journal of Welding and Joining
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    • v.21 no.1
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    • pp.66-71
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    • 2003
  • The release of residual stress by mechanical loading and unloading is often performed in the fabrication of box structure fur steel bridge. The proper degree of loading and unloading is significant at release method of residual stress by mechanical loading because that degree is changed by material and geometric shape of welded structure. Therefore, the simulation model that could exactly analyze the release of residual stress by mechanical loading is to be necessary. In this study, the non-linear behavior of weldments under external loading and unloading, such as the decrease and increase of structure stiffness, was investigated by monitoring of nominal stress and strain. Tensile loading and unloading test and the proper degree of stress relaxation was measured by sectioning technique using strain gauge. Analysis model that is indispensable for the effective application of MSR method was established on the basis of test and measurement result.

The deformable multilaminate for predicting the Elasto-Plastic behavior of rocks

  • Haeri, Hadi;Sarfarazi, V.
    • Computers and Concrete
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    • v.18 no.2
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    • pp.201-214
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    • 2016
  • In this paper, a multilaminate based model have been developed and presented to predict the strain hardening behavior of rock. In this multilaminate model, the stress-strain behavior of a material is obtained by integrating the mechanical response of an infinite number of predefined oriented planes passing through a material point. Essential features such as the variable deformations hypothesis and multilaminate model are discussed. The methodology to be discussed here is modeling of strains on the 13 laminates passing through a point in each loading step. Upon the presented methodology, more attention has been given to hardening in non-linear behaviour of rock in going from the peak to residual strengths. The predictions of the derived stress-strain model are compared to experimental results for marble, sandstone and dense Cambria sand. The comparisons demonstrate the ability of this model to reproduce accurately the mechanical behavior of rocks.

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.

Development on Human Muscle Skeletal Model and Stress Analysis of Kumdo Head Hitting Motion (검도 머리치기 동작의 인체 근골격 모델개발 및 응력해석)

  • Lee, Jung-Hyun;Lee, Se-Hoon;Lee, Young-Shin
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.11
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    • pp.116-125
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    • 2007
  • Human muscle skeletal model was developed for biomechanical study. The human model was consists with 19 bone-skeleton and 122 muscles. Muscle number of upper limb, trunk and lower limb part are 28, 60, 34 respectively. Bone was modeled with 3D beam element and muscle was modeled with spar element. For upper limb muscle modelling, rectus abdominis, trapezius, deltoideus, biceps brachii, triceps brachii muscle and other main muscles were considered. Lower limb muscle was modeled with gastrocenemius, gluteus maximus, gluteus medius and related muscles. The biomechanical stress and strain analysis of human was conducted by proposed finite element analysis model under Kumdo head hitting motion. In this study structural analysis has been performed in order to investigate the human body impact by Kumdo head hitting motion. As the results, the analytical displacement, stress and strain of human body are presented.