• Title/Summary/Keyword: Distribution of Stresses and Strains

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Cyclic behavior of jumbo reduced beam section connections with heavy sections: Numerical investigation

  • Qi, Liangjie;Liu, Mengda;Shen, Zhangpeng;Liu, Hang
    • Earthquakes and Structures
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    • v.23 no.2
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    • pp.183-196
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    • 2022
  • Reduced beam section (RBS) moment connections used in special moment resisting frames are currently limited to beam sections that are not larger than nominal depths of 920 mm, weight of 447 kg/m and flange thickness of 44 mm. Due to the higher demand for structural components with jumbo sections, which can potentially be applied in the transfer girders in long-span building structures, the newly available steel heavy members are promising. To address this issue, advanced numerical models are developed to fully evaluate the distribution of stresses and concentrations of plastic strains for such jumbo RBS connections. This paper first presents a brief overview of an experimental study on four specimens with large beam and column sections. Then, a numerical model that includes initial imperfections, residual stresses, geometric nonlinearity, and explicitly modeled welds is presented. The model is used to further explore the behavior of the test specimens, including distribution of stresses, distribution of plastic strains, stress triaxiality and potential for fracture. The results reveal that the stresses are highly non-uniform across the beam flange and, similarly, the plastic strains concentrate at the extreme fiber of the bottom flange. However, neither of these phenomena, which are primarily a function of beam flange thickness, is reflected in current design procedures.

On the Thermal Stress and Residual Stress Distributions in a Aluminum Alloy Plate due to Resistance Spot Welding (알루미늄합금(合金)의 저항용접(抵抗熔接)에 따른 열응력(熱應力) 및 잔류응력(殘留應力)의 해석(解析))

  • Zae-Geun,Kim;Hyo-Chul,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.9 no.2
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    • pp.21-32
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    • 1972
  • The problems of thermal stress and residual stress in resistance spot welding are studied from two standpoint namely, effect of temperature distributions and effect of the radius of free boundary. The radius of the region where the temperature distributions are occured is taken as a function of time after welding and as a finite size, 6 times of heated zone. The region of the radial stress distribution is treated as a function of time under Saint-Venant's principle and 6 or 12 times of originally heated zone. Thermal stresses and strains are obtained by analytic solution under constant mechanical properties and by the finite difference method for varing properties under temperature variation. From the computed results following conclusions are derived (1) For the engineering purpose, the region of temperature distribution and stress distribution can be treated as a finite region, $R=r_o=6r_e$ (2) If the maximum temperature of the aluminum alloy plate is less than $500^{\circ}F$, thermal stresses and strains can be obtained with constant mechanical properties. (3) The residual stresses and strains will be remained in welds and its vicinity.

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Influence of pressure-dependency of the yield criterion and temperature on residual stresses and strains in a thin disk

  • Alexandrov, S.;Jeng, Y.R.;Lyamina, E.
    • Structural Engineering and Mechanics
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    • v.44 no.3
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    • pp.289-303
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    • 2012
  • Existing plane stress solutions for thin plates and disks have shown several qualitative features which are difficult to handle with the use of commercial numerical codes (non-existence of solutions, singular solutions, rapid growth of the plastic zone with a loading parameter). In order to understand the effect of temperature and pressure-dependency of the yield criterion on some of such features as well as on the distribution of residual stresses and strains, a semi-analytic solution for a thin hollow disk fixed to a rigid container and subject to thermal loading and subsequent unloading is derived. The material model is elastic-perfectly/plastic. The Drucker-Prager pressure-dependent yield criterion and the equation of incompressibity for plastic strains are adopted. The distribution of residual stresses and strains is illustrated for a wide range of the parameter which controls pressure-dependency of the yield criterion.

A study on the stress and strain during welding of plate-to-pipe joint (평판-관 구조물 용접시 발생하는 응력 및 변형율에 관한 연구)

  • 나석주;김형완
    • Journal of Welding and Joining
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    • v.4 no.2
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    • pp.30-39
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    • 1986
  • In manufacturing of pipe walls for boiler units, distortion can result in pipe-web-pipe joints from the nonuniform expansion and contraction of the weld metal and the adjacent base metal during heating and cooling cycle of the welding process. In this study, the stresses and strains during longitudinal welding of the plate-to-pipe joint were investigated. Using the method of successive elastic solution, longitudinal stresses and strains during and after welding were calculated from the information of temperature distributions obtained by Rosenthal's equations. In order to confirm the validity of the numerical results, the temperature and residual stress distributions were measured and compared with the calculated results. In spite of some assumptions, the one-dimensional analytical results of residual stresses were in fairly good agreement with the experimental ones. The residual stresses due to welding of plate-to-pipe joints are tensile near the weld line and compressive in the base metal as in the welding of plates. the amount and distribution of residual stresses were deeply dependent on the heat input ratio of the plate and pipe.

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Rigid-Plastic Finite Element Analysis of Axisymmetric Forward Extrusion (강소성 유한요소법 을 이용한 축대칭 전방 압출 해석)

  • 양동열;오병수;이중홍
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.4
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    • pp.452-462
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    • 1985
  • The axisymmetric forward extrusion is analyzed by using the rigid-plastic finite element formulation. The distribution of stresses and strains as well as the deformation pattern in solid extrusion is very important for the improvement of product quality. The initial velocity field is determined by assuming the material as a Newtonian fluid through an arbitrarily shaped axisymmetric die. The workhardening effect and the friction of the die-material interface are considered in the formulation. Some reduction of area and die shapes(conical and biquadratic-curved) are chosen for computation. Experiments are carried out for steel alloy(SCM4) specimens using conical and curved dies. It is found that experimental observation is in good agreement with FEM results. The strain distribution is curved(biquadratic) dies is shown to be more uniform than in conical dies at the same reduction of area.

Tension stiffening effect of RC panels subject to biaxial stresses

  • Kwak, Hyo-Gyoung;Kim, Do-Yeon
    • Computers and Concrete
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    • v.1 no.4
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    • pp.417-432
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    • 2004
  • An analytical model which can simulate the post-cracking nonlinear behavior of reinforced concrete (RC) members such as bars and panels subject to uniaxial and biaxial stresses is presented. The proposed model includes the description of biaxial failure criteria and the average stress-strain relation of reinforcing steel. Based on strain distribution functions of steel and concrete after cracking, a criterion to consider the tension-stiffening effect is proposed using the concept of average stresses and strains. The validity of the introduced model is established by comparing the analytical predictions for reinforced concrete uniaxial tension members with results from experimental studies. In advance, correlation studies between analytical results and experimental data are also extended to RC panels subject to biaxial tensile stresses to verify the efficiency of the proposed model and to identify the significance of various effects on the response of biaxially loaded reinforced concrete panels.

Rigid-Plastic Finite Element Analysis of Axi-Symmetric Hydroforming with Controlled Pressure (유체압력이 제어되는 축대칭 하이드로포밍에 대한 강소성 유한요소 해석)

  • 양동열;권혁주;정완진;노태성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.571-580
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    • 1990
  • The study is concerned with the analysis of axisymmetric hydroforming with controlled pressure by the rigid-plastic finite element method. The finite element method is employed to obtain the detailed information including the distribution of stresses and strains and geometry changes. Experiments are carried out for hydroforming of cold-rolled steel sheets with the developed CNC hydroforming press which is pressure-controlled according to the fluid pressure vs.-stroke relationship given by the upper bound. Four types of punches are used for the experiments. The computed results are in good agreements with the experimental observation in geometric change and thickness variation. The present analysis permits the prediction of stresses, strains, geometric changes. The effects of Lankford value and workhardening exponent on thickness strains in hydroforming are also discussed. It is thus shown that the present method can be applied to the effective design of axisymmetric hydrooforming processes.

탄.소성 Work-Hardening 모델에 대한 Program 개발 -Lade 모델을 중심으로-

  • 박병기;정진섭
    • Proceedings of the Korean Geotechical Society Conference
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    • 1991.10a
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    • pp.255-270
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    • 1991
  • In recent years. finite element methods have been used with increasing effectiveness in analysis of displacements and stresses within soil masses. However, one of the weakest links in the analytical representations used in these methods is the models of the material behaviour. Herein is discribed a modification to the finite element methods that allows solution problems with realistic stress-strain relation for soils. A finite element program for the precision prediction of the stress distribution within foundation has been developed using the elasto-plastic Work-Hardening model. The developed program is verified by comparing the results of this study with the tested results for Sacramento river sand. The main results obtained from the numerical examples are as follows: The vertical total stress increments are insensitive to drainage and constitutive equation of materials. The horizontal total stress increments are considerably affected by the drainage and constitutive equation of materials. The maximum shear stresses are affected by the drainage only in elasto-ptastic meterirals. The excess pore water pressures and the volumetric strains not only are considerably affected by the constitutive equation of materials. but also have almost similar distribution.

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Residual Stress Measurement for Circular Disk Using Fraction Mechanics Approach (파괴역학을 이용한 원판형 부재의 잔류응력 측정)

  • 강기주;최성렬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.5
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    • pp.1218-1226
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    • 1993
  • A method, so called 'successive cracking method,' for measuring residual stresses in a circular disk is proposed. In this method residual stresses are evaluated using a fracture mechanics approach, that is, the strains measured at a point on a edge of the disk as a crack is introduced and extended from the edge are used to deduce the residual stress distribution which existed in the uncracked disk. Through finite element analysis and comparative experiments with generally used sectioning method, the successive cracking method is shown to be valid, simple and effective to measure 2-dimensional residual stress distribution in a circular disk.

3-Dimensional Elastic-Plastic Contact Analysis Considering Subsurface Plastic Strain in a Half-Space (반무한체 표면아래의 소성변형을 고려한 3차원 탄소성 접촉해석)

  • Cho, Yong-Joo;Moon, Kil-Hwan;Lee, Sang-Don
    • Tribology and Lubricants
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    • v.24 no.2
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    • pp.90-95
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    • 2008
  • An elastic-plastic contact analysis is developed using a semi-analytical method. The elastic contact is solved within a Hertz theorem. The reciprocal theorem with initial strains is then introduced, to express the surface geometry as a function of contact stress and plastic strains. The irreversible nature of plasticity leads to an incremental formulation of the elastic-plastic contact problem, and an algorithm to solve this problem is set up. Closed form expression, which give residual stresses and surface displacements from plastic strains, are obtained by integration of the reciprocal theorem. The distribution of contact stress, residual stress and plastic strain are obtained by the changed surface geometry.