• Title/Summary/Keyword: Elastic-plastic finite element method

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A Discrete Analysis of Dynamic Plastic Response of Beam-Columns (Beam-Column의 동적(動的) 역성(逆性) 응답(應答)에 관한 이산화(離散化) 해석(解析))

  • Sung-Hwan,Park;Chang-Doo,Jang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.3
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    • pp.43-51
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    • 1987
  • In this paper, dynamic elastic, plastic response of beam-columns is analysed using discrete models. composed of rigid bars and springs. The equation of motion is formulated including the shear deformation effect, and the stress change of yielding points is calculated with various yielding criteria. The effect of initial axial force is considered by two ways: (1) including the effect in interaction curve only. (2) including the effect directly in the equation of motion in terms of initial stiffness method is also used in nonlinear interaction procedure. It is found that this model is very effective in analysing not only the plastic response but the elastic response, and present method is more efficient than Finite Element Method from the viewpoint of calculation time and accuracy.

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Effect of Plastic Gradient from GND on the Behavior of Polycrystalline Solids (GND 효과에 의한 소성 구배의 다결정 고체 거동에 대한 영향)

  • Chung, Sang-Yeop;Han, Tong-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.185-191
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    • 2011
  • Plastic gradient from geometrically necessary dislocation(GND) can affect material behavior significantly. In this research, mechanical behavior of polycrystalline solid is investigated using the finite element method incorporating plastic gradient from long range dislocation or GND effect. Plastic gradient effect is implemented in the analysis model by considering a long range strain term as well as elastic and plastic terms in the multiplicative decomposition. In the model, gradient hardness coefficient and length parameter are used to evaluate the effect of the long range strains and sensitive study is conducted for the parameters. It is confirmed that the GND amplifies hardening response of polycrystals compared with the single crystal.

Study of the Interaction between a Tracked Vehicle and the terrain (궤도차량과 토양의 상호관계에 대한 연구)

  • 박천서;이승종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.144-147
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    • 2001
  • The planar tracked vehicle model used in this investigation consists of two kinematically decoupled subsystem, i.e., the chassis subsystem and the track subsystem. The chassis subsystem include the chassis frame, sprocket, idler and rollers, while the track subsystem is represented as a closed kinematic chain consisting of rigid links interconnected by revolute joints, In this paper, the recursive kinematic and dynamic formulation of the tracked vehicle is used to find the vertical forces and the distances of the certain track moved in the driving direction along the track. These distances and vertical forces obtained are used to calculate the sinkage of a terrain. The FEM is adopted to analyze the interaction between the tracked vehicle and terrain. The terrain is represented by a system of elements with specified constitutive relationships and considered as a piecewise linear elastic, plastic and isotropic material. When the tracked vehicle is moving with different speeds on the terrain, the elastic and plastic deformations and the maximum sinkage for the four different types of a isotropic soil are simulated.

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A Program Development for Dynamic Characteristics of Material in SHPB with Explicit Finite Element Method (홉킨슨 압축봉에서의 동적 재료특성에 관한 수치해석적 연구)

  • Lee, Seung-U;Hong, Seong-In
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.6 s.177
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    • pp.1438-1445
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    • 2000
  • To determine dynamic characteristics of materials, a program was developed under base of stress wave propagation theory for SHPB with explicit finite element method. Through the program, all kinds of quasi-static stress-strain curves can be directly converted to dynamic stress-strain curves at any strain rate. This simulation results were compared with experimental results in the references and they are in a good agreement with each other.

Finite Element Modeling of Rubber Pad Forming Process (고무 패드 성형 공정의 유한요소 모델링)

  • 신수정;이태수;오수익
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.9
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    • pp.117-126
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    • 1998
  • For investigating rubber pad sheet metal forming process, the rubber pad deformation characteristics as well as the contact problem of rubber pad-sheet metal has been analyzed. In this paper, the behavior of the rubber deformation is represented by hyper-elastic constitutive relations based on a generalized Mooney-Rivlin model. Finite element procedures for the two-dimensional responses, employing total Lagrangian formulations are implemented in an implicit form. The volumetric incompressibility condition of the rubber deformation is included in the formulation by using penalty method. The sheet metal is characterized by elasto-plastic material with strain hardening effect and analyzed by a commercial code. The contact procedure and interface program between rubber pad and sheet metal are implemented. Inflation experiment of circular rubber pad identifies the behaviour of the rubber pad deformation during the process. The various form dies and scaled down apparatus of the rubber-pad forming process are fabricated for simulating realistic forming process. The obtaining experimental data and FEM solutions were compared. The numerical solutions illustrate fair agreement with experimental results. The forming pressure distribution according to the dimensions of sheet metal and rubber pads, various rubber models and rubber material are also compared and discussed.

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A Method for Calculation of Compressive Strength of a One-Sided Stiffened Plate (편면 보강판의 압축강도 해석을 위한 한 방법)

  • C.D. Jang;S.I. Seo
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.117-124
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    • 1991
  • In this paper, a method to overcome inefficiency of the finite element method in the calculation of compressive strength of one-sided stiffened plates, is proposed. In this method the collapse modes of stiffened plates are assumed as follows. a) Overall buckling $\rightarrow$ Overall collapse b) Local buckling $\rightarrow$ Overall collapse c) Local buckling $\rightarrow$ Local collapse In each collapse mode, shape of deflection is assumed, and then elastic large deformation analysis based on the Rayleigh-Ritz method is carried out. One-sided stiffening effect is considered by taking into account of the moment due to eccentricity. Plastic analysis by assuming hinge lines is also carried out. The ultimate strength of a stiffened plate is obtained as the point of intersection of the elastic analysis curve and the plastic one. From this study, it is concluded that the angles between the plastic hinge lines in plastic collapse mode are determined as the ones which give the minimum collapse load, and these angles are different from the ones assumed in the previous studies. Minimum stiffness ratios can also be calculated. Calculated results according to this method show good agreements with the results by the finite element method.

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Elacstic-\Plastic Limit Load Analysis of Notched Specimen by the Finite Element Method (노치 ( Notch )를 가진 試片의 有限要素法에 의한 彈塑性 極限 荷重解析)

  • Lee, Taik-Soon;Kim, Dong-Sub;Hwang, Pyung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.4
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    • pp.379-385
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    • 1983
  • Many papers have shown limit loads of v-notched tension specimens in plane stress by the elastic-plastic finite element method. But they are always higher than the theoretical maximum loads. The present approach tries to find the reasons and formulates correction factor applicable to any notch shape using virtual work principle with triangular elements. The corrected limit loads are in good agreement with theoretical upper bound solutions and they are little influenced by mesh size and specimen length, which make the computing time save.

The Values of J-integral and Shapes of Plastic Zone Near a Crack Tip of Cracked Panels by the $\rho$-Version of F.E.M. ($\rho$-Version 유한요소법에 의한 균열판의 소성역 형상과 J-적분값 산정)

  • 홍종현;우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.42-49
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    • 1999
  • Because the linear elastic tincture analysis has been proved to be insufficient in predicting the failure of cracked bodies, in recent years, a number of fracture concepts have been studied which remain applicable in the presence of large-scale plasticity near a crack tip. This work thereby presents a new finite element model, as accurate as possible, to analyze plane problems of ductile fracture under large-scale yielding conditions. Based on the incremental theory of plasticity, the p-version finite element analysis is employed to account for the values of J-integral, the most dominant fracture parameter, and the shape of plastic zone near a crack tip by using the J-integral method and equivalent domain integral method. The numerical results by the proposed model are compared with the theoretical solutions in literatures and the numerical solutions by the i,-version of F.E.M.

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Determining the effective width of composite beams with precast hollowcore slabs

  • El-Lobody, Ehab;Lam, Dennis
    • Structural Engineering and Mechanics
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    • v.21 no.3
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    • pp.295-313
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    • 2005
  • This paper evaluates the effective width of composite steel beams with precast hollowcore slabs numerically using the finite element method. A parametric study, carried out on 27 beams with different steel cross sections, hollowcore unit depths and spans, is presented. The effective width of the slab is predicted for both the elastic and plastic ranges. 8-node three-dimensional solid elements are used to model the composite beam components. The material non-linearity of all the components is taken into consideration. The non-linear load-slip characteristics of the headed shear stud connectors are included in the analysis. The moment-deflection behaviour of the composite beams, the ultimate moment capacity and the modes of failure are also presented. Finally, the ultimate moment capacity of the beams evaluated using the present FE analysis was compared with the results calculated using the rigid - plastic method.

Finite Element Analysis of the Coiling Process of Hot Bar in coil Box of Mini-Mill (미니밀 코일박스의 권취공정에 대한 유한요소 해석)

  • 이호국;이상로
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.32-39
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    • 1997
  • The coiling station of ISP coil box is an equipment that winds a hot bar rolled at reduction unit into a coil without mandrel. In the coiling process, the roll gap of the bending unit is a significant one of several factors that influence bar coiling. To obtain a good bar-coil, the roll gap must be set appropriately according to the bar thickness. In this study, with 2-dimensional isothermal elastic-plastic finite element method, authors investigated influence of the change of the roll gap on the initial coiling shapes and the formed inner diameters of coils. Based on finite element analysis, authors proposed the appropriate roll gap according to the bar thickness to be able to wind a hot bar. The inner diameters of coils by results of analysis comparatively agreed with coling operation conducted in plant.

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