• Title/Summary/Keyword: Shear strain

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Analysis of Forming Limit for Circular Bonded Sheet Metals by Shear Band Formation (전단띠 형성에 의한 원형접합판의 변형한계 해석)

  • 정태훈
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.1
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    • pp.127-132
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    • 2001
  • By the use of a similar numerical method as the forming limit strain by coating method of coated sheet metals is investigated, in which the FEM is applied and J2G(J2-Gotohs Corner Theory) is utilized as the plasticity constitutive equa-tion. Circular bonded sheet metals with dissimilar sheets on both surface planes are stretched in a plane -strain state, with various work-hardening exponent n-values and thicknesses of each layer. Processes of shear-band formation in such com-posite sheets are clearly illustrated. It is concluded that, it the bonded state, the higher limiting strain of one layer is reduced due to the lower limiting strain of the other layer and vice versa, and does not necessarily obey the rule of linear combination of the limiting strain of each layer weighed according thickness.

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Friction Characteristics on Interface Between Reinforcement and Sand by Direct Shear Test Methods (전단시험방법에 따른 토목섬유/모래 접촉면에서의 마찰특성)

  • Ju, Jae-Woo;Park, Jong-Beom;Chang, Yong-Chai
    • Journal of the Korean Geosynthetics Society
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    • v.2 no.1
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    • pp.39-45
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    • 2003
  • The most important part in the earth reinforcement is the interface between soil and the reinforcement. Shear strength and shear behavior in this interface make a great role relating to the reinforcement effect. This paper presents 2 kinds of direct shear test methods. one is the strain free shear test, called 'free method', that is performed by the free condition of allowing tensile strain. The other is the strain fix shear test, called 'fixed method', that is performed by the fixed condition of not allowing tensile strain. Two reinforcements were used such as nonwoven geotextile and geogrid. That is, interfaces are composed of geogrid/sand and geotextile/sand. From the test results it shows us that the fixed method had a greater friction angle and a smaller peak shear strain than those of the free method. Residual stress of the fixed method was bigger than that of the free method but the residual stress ratio was vice versa.

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A laminated composite plate finite element a-priori corrected for locking

  • Filho, Joao Elias Abdalla;Belo, Ivan Moura;Pereira, Michele Schunemann
    • Structural Engineering and Mechanics
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    • v.28 no.5
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    • pp.603-633
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    • 2008
  • A four-node plate finite element for the analysis of laminated composites which is developed using strain gradient notation is presented. The element is based on a first-order shear deformation theory and on the equivalent lamina assumption. Strains and stresses can be calculated at different points through the thickness of the plate. They are averaged values due to the equivalent lamina assumption. A shear correction factor is used as the transverse shear strain is taken to be constant over the plate thickness while its actual variation is parabolic. Strain gradient notation, which is physically interpretable, allows for the detailed a-priori analysis of the finite element model. The polynomial expansions are inspected and spurious terms responsible for modeling errors are identified in the shear strains polynomial expansions. The element is corrected by simply removing the spurious terms from the shear strains expansions. The element is implemented into a FORTRAN finite element code in two versions; namely, with and without spurious terms. Results are compared to show the effects of the spurious terms on the solutions. It is also shown that a refined mesh composed of corrected elements provides solutions which approximate very well the analytical solutions, validating the procedure.

Evaluation of Dynamic Properties of Trackbed Foundation Soil Using Mid-size Resonant Column Test

  • Lim, Yujin;Nguyen, Tien Hue;Lee, Seong Hyeok;Lee, Jin-Wook
    • International Journal of Railway
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    • v.6 no.3
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    • pp.112-119
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    • 2013
  • A mid-size RC test apparatus (MRCA) equipped with a program is developed that can test samples up to D=10 cm diameter and H=20 cm height which are larger than usual samples used in practice. Using the developed RC test apparatus, two types of crushed trackbed foundation materials were tested in order to get the shear modulus reduction curves of the materials with changing of shear strain levels. For comparison purpose, large repetitive triaxial compression tests (LRT) with samples of height H=60cm and diameter D=30 cm were performed also. Resilient modulus obtained from the LRT was converted to shear modulus by considering elastic theory and strain level conversion and were compared to shear modulus values from the MRCA. It is found from this study that the MRCA can be used to test the trackbed foundation materials properly. It is found also that strain levels of $E_{v2}$ mostly used in the field should be verified considering the shear modulus reduction curves and proper values of $E_{v2}$ of trackbed foundation must be used considering the strain level verified.

High Strain Rate Deformation Behavior of 5083 Aluminum Alloy Prepared via Equal Channel Angular Extrusion (ECAE 전단 가공된 5083 알루미늄 합금의 고변형률 변형거동)

  • Kim, Yang Gon;Ko, Young Gun;Shin, Dong Hyuk;Lee, Sunghak
    • Korean Journal of Metals and Materials
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    • v.47 no.7
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    • pp.397-405
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    • 2009
  • The high strain rate deformation behavior of ultra-fine grained 5083 aluminum alloys prepared via equal channel angular (ECA) extrusion was investigated in this study. The microstructure of ECA extruded specimens consisted of ultra-fine grains, and contained a considerable amount of second phase particles, which were fragmented and distributed homogeneously in the matrix. According to the dynamic torsion test results, the maximum shear stress and fracture shear strain of the route A (no rotation) specimen were lower than those of route C ($180^{\circ}$ rotation) specimen since that adiabatic shear bands of $100{\mu}m$ in width were formed in the route A specimen. The formation of adiabatic shear bands was addressed by concepts of critical shear strain, deformation energy required for void initiation, and microstructural homogeneity associated with ECA operations.

A Suggestion of an Empirical Equation for Shear Modulus Reduction Curve Estimation of Sandy Soils (사질토 전단탄성계수 감소곡선 산정을 위한 경험식 제안)

  • Park, Dug-Keun
    • Journal of the Korean Geotechnical Society
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    • v.18 no.3
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    • pp.126-126
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    • 2002
  • In dynamic analyses such as seismic ground response and soil-structure interaction problems, it is very crucial to obtain accurate dynamic shear modulus of soil deposit. In this study, an extensive data base of available experimental data is compiled and reanalyzed to establish a simple empirical formula for the dynamic shear modulus reduction curve to cover wide range of strain for sandy soils. The proposed empirical equation is to represent the dynamic shear modulus degradation with strain in terms of low-amplitude dynamic shear modulus and effective mean confining Pressure, since those factors have the most significant effect on the Position and shape of the shear modulus reduction curve for nonelastic soils. If low-amplitude shear modulus is measured, degraded modulus at any shear strain amplitude can be calculated using the proposed equation.

A Suggestion of an Empirical Equation for Shear Modulus Reduction Curve Estimation of Sandy Soils (사질토 전단탄성계수 감소곡선 산정을 위한 경험식 제안)

  • Park, Dug-Keun
    • Journal of the Korean Geotechnical Society
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    • v.18 no.3
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    • pp.127-138
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    • 2002
  • In dynamic analyses such as seismic ground response and soil-structure interaction problems, it is very crucial to obtain accurate dynamic shear modulus of soil deposit. In this study, an extensive data base of available experimental data is compiled and reanalyzed to establish a simple empirical formula for the dynamic shear modulus reduction curve to cover wide range of strain for sandy soils. The proposed empirical equation is to represent the dynamic shear modulus degradation with strain in terms of low-amplitude dynamic shear modulus and effective mean confining Pressure, since those factors have the most significant effect on the Position and shape of the shear modulus reduction curve for nonelastic soils. If low-amplitude shear modulus is measured, degraded modulus at any shear strain amplitude can be calculated using the proposed equation.

Shear Response Prediction of the Reinforced Concrete Beams using Truss Models for Membrane Element Analysis (막요소 해석에 사용된 트러스 모델을 이용한 철근콘크리트 보의 전단거동 예측)

  • Kim, Sang-Woo;Lee, Jung-Yoon
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.1 s.7
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    • pp.77-85
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    • 2003
  • This paper presents a truss model that can predict the shear behavior of reinforced concrete (RC) beams subjected to the combined actions of shear and flexure. Unlike other truss models, the proposed truss model, TATM, takes into account the effect of the flexural moment on the shear strength of RC beams with different shear span-to-depth ratios. To check the successfulness of the proposed model experimentally obtained stress shear strain curves were compared to the predicted ones using the proposed truss model. Furthermore, the shear strengths of 170 RC test beams with variable shear span-to-depth ratios were compared to the shear strengths as given by the truss model reported in this paper.

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Localized Plastic Deformation in Plastic Strain Gradient Incorporated Combined Two-Back Stress Hardening Model (변형량 기울기 이론이 조합된 이중후방응력 경화모델에서의 국부적 소성변형)

  • Yun, Su-Jin;Lee, Sang-Youn;Park, Dong-Chang
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2011.11a
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    • pp.528-535
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    • 2011
  • In the present, the formation of shear band under a simple shear deformation is investigated using a rate-independent elastic-plastic constitutive relations. Moreover, the strain gradient terms are incorporated to obtain a non-local plastic constitutive relation, which in turn represented using combined two-back stress hardening model. Then, the continuum damage model is also included to the proposed model. The post-localization behavior are studied by introducing a small imperfection in a work piece. The strain gradient affects the shear localization significantly such that the intensity of shear band decreases as the strain gradient coefficient increases when the J2 flow theory is employed.

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Evaluation of In-plane Shear Strength of CFRP Rebar-Concrete Member Using Modified Compression Field Theory (수정압축장이론에 의한 탄소보강근-콘크리트 부재의 면내전단강도 평가)

  • Su-Tae Kang;Eun-Ik Yang;Myung-Sung Choi
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.28 no.4
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    • pp.13-20
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    • 2024
  • In this study, when subjected to in-plane shear such as a shear wall, the behavior characteristics of a concrete member using CFRP rebars were investigated when the longitudinal reinforcement ratio was kept constant at 2.96% and the transverse reinforcement ratio was changed from 0.30 to 2.98%. The evaluation was conducted based on MCFT theory and analyzed by comparison with the case of concrete members using steel rebars. When the reinforcement ratio ranged from 0.30 to 1.19%, concrete members employing CFRP rebars exhibited higher shear strength compared to those using steel rebars. In contrast, at high reinforcement ratios of 1.79 and 2.98%, it was observed that the shear strength of the member with CFRP rebar was lower compared to the member with steel rebar. Maximum shear strain was observed to be higher for members reinforced with steel rebars at lower reinforcing bar ratios, while for ratios of 0.97% and above, CFRP rebars resulted in higher maximum shear strain. As the reinforcement ratio increases, the use of CFRP rebar instead of steel rebar results in a greater increase in maximum shear strain. By analyzing the difference in strain in the reinforcing bar as well as the difference in principal strain in the element caused by differences in the mechanical properties of the steel rebar and CFRP rebar, the shear strength and shear strain when using steel rebar and CFRP rebar with different reinforcement ratios can be compared and analyzed.