• Title/Summary/Keyword: Elastic-plastic boundary

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Experimental and Numerical Study on the Elastic-Plastic, Large Deflection, Post-Buckling Behavior of Axially Compressed Circular Cylindrical Tubes (축방향 압축력을 받는 원통형 박막소재의 좌굴후 탄소성 대변형에 관한 실험 및 해석 연구)

  • Kwon, Se-Mun;Yun, Hee-Do
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.969-974
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    • 2001
  • Circular cylindrical tubes are widely used in structures such as vehicles and aircraft structures, where light weight and high compressive/bending/torsional load carrying capacity are required. When axially compressed, relatively thick circular cylindrical tubes deform in a so-called ring mode. Each ring develops and completely collapses one by one until the entire length of the tube collapses. During the collapse process the tube absorbs a large amount of energy. Like honey-comb structures, circular cylindrical tubes are light weighted, are capable of high axial compressive load, and absorb a large amount of energy before being completely collapsed. In this report, the subject of axial plastic buckling of circular cylindrical tubes was reviewed first. Then, the axial collapse process of the tubes in a so-called ring mode was studied both experimentally and numerically. In the experiment, steel tubes were axially compressed slowly until they were completely collapsed. Fixed boundary condition was provided. Numerical study involves axisymmetric, elastic-plastic, large deflection, self-contact mechanisms. The measured and calculated results were presented and compared with each other. The purpose of the study was to evaluate the load carrying capacity and the energy absorbing capacity of the tube.

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Two Dimensional Elasto-plastic Stress Analysis by the B.E.M. (경계요소법에 의한 2차원 탄소성응력해석)

  • 조희찬;김희송
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.621-629
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    • 1992
  • This study is concerned with an application of the Boundary Element Method to 2-dimensional elastoplastic stress analysis on the material nonlinearities. The boundary integral formulation adopted an initial stress equation in the inelastic term. In order to determine the initial stress increment, the increment of initial elastic strain energy due to elastic increment in stressstrain curve was used as the convergence criterion during iterative process. For the validity of this procedure, the results of B.E.M. with constant elements and NISA with linear elements where compared on the thin plate with 2 edge v-notches under static tension and the thick cylinder under internal pressure. And this paper compared the results of using unmedical integral with the results of using semi-analytical integral on the plastic domain integral.

J2-bounding Surface Plasticity Model with Zero Elastic Region (탄성영역이 없는 J2-경계면 소성모델)

  • Shin, Hosung;Oh, Seboong;Kim, Jae-min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.43 no.4
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    • pp.469-476
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    • 2023
  • Soil plasticity models for cyclic and dynamic loads are essential in non-linear numerical analysis of geotechnical structures. While a single yield surface model shows a linear behavior for cyclic loads, J2-bounding surface plasticity model with zero elastic region can effectively simulate a nonlinearity of the ground response with the same material properties. The radius of the yield surface inside the boundary surface converged to 0 to make the elastic region disappear, and plastic hardening modulus and dilatancy define plastic strain increment. This paper presents the stress-strain incremental equation of the developed model, and derives plastic hardening modulus for the hyperbolic model. The comparative analyses of the triaxial compression test and the shallow foundation under the cyclic load can show stable numerical convergence, consistency with the theoretical solution, and hysteresis behavior. In addition, plastic hardening modulus for the modified hyperbolic function is presented, and a methodology to estimate model variables conforming 1D equivalent linear model is proposed for numerical modeling of the multi-dimensional behavior of the ground.

Plane-Strain Analysis of Auto-Body Panel Using the Rigid-Plastic Finite Element Method (강소성 유한요소법을 이용한 자동차 판넬 성형공정의 평면 변형해석)

  • 양동열;정완진;송인섭;전기찬;유동진;이정우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.169-178
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    • 1991
  • A plane-strain finite element analysis of sheet metal forming is carried out by using the rigid-plastic FEM based on the membrane theory. The sheet material is assumed to possess normal anisotropy and to obey Hill's new yield criterion and its associated flow rule. A formulation of initial guess generation for the displacement field is derived by using the nonlinear elastic FEM. A method of contact treatment is proposed in which the skew boundary condition for arbitrarily shaped tools is successively used during iteration. In order to verify the validity of the developed method, plane-strain drawing with tools in analytic expression and with arbitrarily shaped tools is analyzed and compared with the published results. The comparison shows that the present method can be effectively used in the analysis of plane-strain sheet metal forming and thus provides the basis of approximate sectional analysis of panel-like sheet forming.

Stability Analysis of Concrete Liner installed in a Compressed Air Storage Tunnel (압축공기 저장용 터널에 설치된 콘크리트 라이닝의 안정성 해석)

  • Lee, Youn-Kyou;Park, Kyung-Soon;Song, Won-Kyong;Park, Chul-Whan;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.19 no.6
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    • pp.498-506
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    • 2009
  • The stability assessment of a concrete liner of a compressed air storage tunnel should be performed by an approach which is different from that commonly used for the liners of road tunnels, since the liner is exposed to high air pressure. In this study, the stability analysis method for the liner of compressed air storage tunnel is proposed based on the elastic and elasto-plastic solutions of the thick-walled cylinder problem. In case of elastic analysis, the yield initiation condition at the inner boundary is considered as the failure condition of the liner, while the condition which results in the extension of yielding zone to a certain depth is taken as a failure indicator of the liner in the elasto-plastic analysis taking Mohr-Coulomb criterion. The application of the proposed method revealed that the influence of the relative magnitude of boundary loads on the stability of liner is considerable. In particular, noting that the estimation of the outer boundary load may be relatively difficult, it is thought that the precise prediction of outer boundary load is very important in the analysis. Accordingly, the emphasis is put on the selection of the liner installation time, which may govern the magnitude of outer boundary load.

Thermal Residual Stress Relaxation Behavior of Alumina/SiC Nanocomposites (Alumina/SiC 나노복합재료에서의 잔류 열응력 완화거동에 관한 연구)

  • Choa, Y.H.;Niihara, K.;Ohji, T.;Singh, J.P.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2002.04b
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    • pp.11-11
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    • 2002
  • Plastic deformation was observed by TEM around the intragranular SiC particles in the $Al_2O_3$ matrix for $Al_2O_3/SiC$ nanocomposite system. The dislocations are generated at selected planes and there is a tendency for the dislocations to form a subgrain boundary structure with low-angel grain boundaries and networks. In this study, dislocation generated in the $Al_2O_3$ matrix during cooling down from sintering temperatures by the highly localized thermal stresses within and/or around SiC particles caused from the thermal expansion mismatch between $Al_2O_3$ matrix and SiC particle was observed. In monolithic $Al_2O_3$ and $Al_2O_3/SiC$ microcomposite system. These phenomena is closely related to the plastic relaxation of the elastic stress and strain energy associated with both thermal misfitting inclusions and creep behaviors. The plastic relaxation behavior was explained by combination of yield stress and internal stress.

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Description of reversed yielding in thin hollow discs subject to external pressure

  • Alexandrov, Sergei E.;Pirumov, Alexander R.;Jeng, Yeau-Ren
    • Structural Engineering and Mechanics
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    • v.58 no.4
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    • pp.661-676
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    • 2016
  • This paper presents an elastic/plastic model that neglects strain hardening during loading, but accounts for the Bauschinger effect. These mathematical features of the model represent reasonably well the actual behavior of several materials such as high strength steels. Previous attempts to describe the behavior of this kind of materials have been restricted to a class of boundary value problems in which the state of stress in the plastic region is completely controlled by the yield stress in tension or torsion. In particular, the yield stress is supposed to be constant during loading and the forward plastic strain reduces the yield stress to be used to describe reversed yielding. The new model generalizes this approach on plane stress problems assuming that the material obeys the von Mises yield criterion during loading. Then, the model is adopted to describe reversed yielding in thin hollow discs subject to external pressure.

Elastic-plastic Finite Element Analysis of Drawbead Forming for Evaluation of Equivalent Boundary Conditions in Sheet Metal Forming - Part I : Evaluation (박판 성형공정에서의 등가 경계조건 계산을 위한 드로우비드 성형의 탄소성 유한요소 해석 - PartI: 등가 경계조건 계산)

  • Park, J.S.;Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.11 no.6
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    • pp.503-512
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    • 2002
  • The drawbead is used to control material flow into the die during the binder wrap process and the stamping process in the sheet metal forming process. Since the dimension of drawbead is relatively small in comparison with the typical dimensions, it is difficult to include drawbeads in finite element analysis of the sheet metal forming process. It is because the mesh system has to be fine enough to describe the drawbead and the computation time is drastically increased. In this paper, simulation of drawbead forming has been carried out to obtain the equivalent boundary conditions in the binder wrap process and the stamping process. In order to investigate the effect of various die geometries, parameter studies are performed with the variation of parameters such as the blank length, the drawbead depth, the drawbead radius, the inclination of die and the friction coefficient.

Post-buckling Behaviour of Aluminium Alloys Rectangular Plate Considering the Initial Deflection Effect (초기 처짐 영향을 고려한 알루미늄 합금 사각형 판의 좌굴 후 거동)

  • Oh, Young-Cheol;Kang, Byoung-Mo;Ko, Jae-Yong
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.20 no.6
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    • pp.738-745
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    • 2014
  • In this paper, It is performing to the elastic and elasto-plastic large deformation series analysis using a numerical method for the initial deflection effect of the aluminum alloy rectangular plate in the elasto-plastic loading area patch loading size. It is assumed a boundary condition to be a simply supported condition and consider the initial deflection amplitude, aspect ratio. It examined the critical elastic buckling load and post-buckling behaviour of aluminium alloy A6082-T6 rectangular plate. It used a commercial program for the elastic and elasto-plastic deformation series analysis. If the initial deflection amplitude is smaller, the in-plane rigidity with increasing to load is reduced from the start and occurs significantly more increasing the amplitude. More higher the aspect ratio, the initial yield strength is gradually decreased, and the plate thickness thicker and occurs larger than the thin walled plate a reduction ratio of the initial yield strength of the patch loading size as 0.5.

Prediction of the Equivalent Elastic Properties of Fiber Reinforced Composite Materials and Structural Analysis of Composite Satellite Panel (섬유강화 복합재료 등가탄성계수 예측과 복합재료 위성패널의 구조해석)

  • You, Won-Young;Lim, Jae Hyuk;Sohn, Dongwoo;Kim, Sun-Won;Kim, Sung-Hoon
    • Aerospace Engineering and Technology
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    • v.12 no.2
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    • pp.48-56
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    • 2013
  • In this paper, the equivalent elastic properties of fiber reinforced plastic laminar are investigated using various homogenization schemes. Although there are several methods for predicting the equivalent elastic properties such as analytical formula or semi-empirical formula, most of them have some limitations or are not much accurate when handling new composite material consisting of various fiber, matrix and fiber-volume fraction ratio. To resolve the issues, computational homogenization scheme is adopted with a representative volume element (RVE) comprised of a set of finite elements. Finally, the equivalent elastic properties are obtained by applying periodic boundary conditions. The obtained results are compared with those by the existing methods and test results. Also its effect on structural analysis results of the composite satellite panel is investigated.