• 제목/요약/키워드: elastic and plastic deformation

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유한회전과 접합부 특성을 고려한 공간프레임의 대변형 탄소성 해석 (Large Deformational Elasto-Plastic Analysis of Space Frames Considering Finite Rotations and Joint Connection Properties)

  • ;한상을
    • 한국강구조학회 논문집
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    • 제21권6호
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    • pp.597-608
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    • 2009
  • 본 연구에서는 접합부 특성이 고려된 공간프레임의 대변형 탄소성해석법에 관한 내용을 기술한다. 이 해석법은 유한변형을 고려한 대변형 탄성해석법에 기초한 것으로 부재의 재료적 탄소성, 접합부 반강접 특성을 추가적으로 고려하였다. 절점의 유한변형은 오일러의 개념으로 부터 유도되었으며, 부재좌표계에서 계산된 부재변형은 보-기둥식에 대입하여 부재력을 계산하였다. 부재변형은 부재축변형과 휨에 의한 축변형효과를 함께 고려하여 계산하였으며, 부재축력의 휨강성, 비틀림강성에 대한 효과를 고려하여 항복함수를 계산하였다. 재료는 완전 탄소성으로 가정하였고, 항복은 부재 양단부에서 집중하여 발생하는 소성힌지의 개념을 사용하였다. 부재 접합부 반강접 특성은 지수모델이나 선형모델을 적용하였고, 접합부 특성이 고려된 탄소성 후좌굴해석을 수행하기 위해 호장법을 사용하였다. 본 연구내용의 정확성 및 효율성을 검증하기 위해 공간프레임에 대한 해석을 수행하였다.

곡 블록 용접변형 해석법에 관한 연구 - 해석법 정립 및 실 블록 적용 (Study on Analysis Method for Welding Deformation of curved Block - Development of Analysis and Application of real Block)

  • 이명수;장경복;양진혁;강성수
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2006년도 춘계 학술대회 개요집
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    • pp.77-79
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    • 2006
  • To achieve high productivity of assembly hull blocks, it is important to predict welding deformations accurately and to apply these data to the production planning. In the deformation analysis of hull block, simplified methods (elastic analysis) such as inherent method, equivalent loading method and local & global approach are usually used instead of thermal-elastic-plastic analysis because of calculating time and cost. To be much more practical, these simplified methods should consider gravity effect of plate and contact condition between the plate and the positioning jig. In this research, using finite element method, practical predicting method for the welding deformation of the curved hull blocks with considering welding sequence, gravity effect and contact condition is proposed.

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곡 블록 용접변형 해석법에 관한 연구 - 시험편 테스트 및 검증 (Study on Analysis Method for Welding Deformation of curved Block - Specimen test and Verification)

  • 이명수;장경복;박중구;양진혁;강성수
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2005년도 추계학술발표대회 개요집
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    • pp.17-19
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    • 2005
  • To achieve high productivity of assembly hull blocks, it is important to predict welding deformations accurately and to apply these data to the production planning. In the deformation analysis of hull block, simplified methods (elastic analysis) such as inherent method, equivalent loading method and local & global approach are usually used instead of thermal-elastic-plastic analysis because of calculating time and cost. To be much more practical, these simplified methods should consider gravity effect of plate and contact condition between the plate and the positioning jig. In this research, using finite element method, practical predicting method for the welding deformation of the curved hull blocks with considering welding sequence, gravity effect and contact condition is proposed.

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Performance analysis of spherical indentation process during loading and unloading - a contact mechanics approach

  • Gandhi, V.C. Sathish;Kumaravelan, R.;Ramesh, S.
    • Structural Engineering and Mechanics
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    • 제52권3호
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    • pp.469-483
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    • 2014
  • In an indentation approach, the smooth rigid spherical ball penetrated into a deformable flat is considered for the study based on contact mechanics approach. The elastic-plastic frictionless spherical indentation analysis has been under taken in the finite element analysis using "ABAQUS" and experimental study. The spherical indentation has been studied for the materials like steel, aluminium, copper and brass with an identical spherical indenter for diverse indentation depths. The springback analysis is executed for studying the actual indentation depth after the indenter is unloaded. In the springback simulation, the material recovers its elastic deformation after the indenter is unloaded. The residual diameter and depth of an indentation for various materials are measured and compared with simulation results. It shows a good agreement between the simulation and an experimental studies.

Inelastic behavior of standard and retrofitted rectangular hollow sectioned struts -I: Analytical model

  • Boutros, Medhat K.
    • Structural Engineering and Mechanics
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    • 제10권5호
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    • pp.491-504
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    • 2000
  • This paper is a presentation of a physical model for the elastic-partly plastic behavior of rectangular hollow section pinned struts subjected to static cyclic axial loading and the evaluation of the compressive strength of retrofitted damaged struts. Retrofitting is achieved by welding stiffening plates along the webs of damaged struts. The shape of the elastic and permanent deformations of the strut axis satisfy the conditions at the ends and midspan. Continuous functions of the geometric variables of stress distributions in the yielded zone are evaluated by interpolation between three points along each partly plastic zone. Permanent deformations of the partly plastic region are computed and used to update the shape of the unloaded strut. The necessity of considering geometric nonlinearity is discussed. The sensitivity of the results to the location of interpolation points, the shape of the permanent deformation and material hysteretic properties is investigated.

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

  • 박성환;장창두
    • 대한조선학회지
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    • 제24권3호
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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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변형연화모델을 이용한 미고결 지반의 터널변형 (Tunnel Deformation in Shallow Unconsolidated Ground by Using Strain-Softening Model)

  • 서인식;김병탁
    • 한국산업융합학회 논문집
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    • 제10권2호
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    • pp.81-88
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    • 2007
  • In case of an urban tunnel, the displacement of ground base controls the tunnel design because it is built on shallow and unconsolidated ground many times. There are more insufficiency to describe the ground movement which coincides in the measured result of the situ because the design of an urban tunnel is dependent on the method of numerical analysis used to the existing elastic and elasto-plastic models. We studied about the prediction for the ground movement of a shallow tunnel in unconsolidated ground, mechanism of collapse, and settlement. Also this paper shows comparison with the existing elastic and elasto-plastic model using the unlinear analysis of the strain-softening model. We can model the real ground movement as the increasement of ground surface inclination or occurrence of shear band by using strain-softening model for the result of ground movement of an urban NATM tunnel.

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슬리브드 폴리머 발사체의 충격시 벌징 거동 패턴에 미치는 코어 재료의 영향 (Influences of Core Materials during Impact The Bulging Behavior of Sleeved Polymer Projectiles)

  • 신형섭;박성택;정윤철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.198-203
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    • 2008
  • In the present study, the deformation behavior of both of metal and polymer combination on impact was investigated. They have showed a different deformation behavior when the co-axially combined projectile was impacted on rigid target. The theory according to Taylor's simplified approach assumes an ideally rigid-plastic material model exhibiting rate-independent behavior and simple one-dimensional wave propagation concepts that neglect radial inertia. In the case of impact with polymeric materials, elastic strain in general are not negligible compared with plastic strain; and the rigid-plastic material behavior assumed by Taylor for metallic materials cannot be applied any more. Since, the sleeve and the core materials have widely different mechanical properties, they will produce a significant difference of mechanical impedance with each other. Therefore these impedance mismatch influences on the deformation behavior sleeved polymer projectile on impact. As a result, sleeved projectiles will generate a very interesting impact behavior. Therefore, the according to sleeved metal material and core polymer material can see expected. The objective of this study was to investigate the factors which influences on deformation behavior pattern of sleeve materials surface.

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슬립모델을 이용한 변형률의존 유한변형 탄소성재료의 구성방정식 개발 (A Rate-Dependent Elastic Plastic Constitutive Equation in Finite Deformation Based on a Slip Model)

  • 남용윤;김사수;이상갑
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.181-188
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    • 1994
  • Generally, the structural material shows rate dependent behaviors, which require to constitute different strain-stress relations according to strain rates. Conventional rate- independent constitutive equations used in general purpose finite analysis programs are inadequate for dynamic finite strain problems. In this paper, a rate dependent constitutive equation for elastic-plastic material was developed. The plastic stretch rate was modeled based on slip model with dislocation velocity and density so that there is no yielding condition, and no loading conditions. Non-linear hardening rule was also introduced for finite strain. Material constants of present constitutive equation were determined by experimental data of mild steel. The constitutive equation was applied to uniaxile tension. It was appeared that the present constitutive equation well simulates rate dependent behaviors of mild steel.

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PCTC 박판 블록 용접 변형에 관한 연구 (A Study on Welding Deformation of thin plate block in PCTC)

  • 강성구;양종수;김호경
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2009년 추계학술발표대회
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    • pp.97-97
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    • 2009
  • The use of thin plate increases due to the need for light weight in large ship. Thin plate is easily distorted and has residual stress by welding heat. Therefore, the thin plate should be carefully joined to minimize the welding deformation which costs time and money for repair. For one effort to reduce welding deformation, it is very useful to predict welding deformation before welding execution. There are two methods to analyze welding deformation. One is simple linear analysis. The other is nonlinear analysis. The simple linear analysis is elastic analysis using the equivalent load method or inherent strain method from welding experiments. The nonlinear analysis is thermo-elastic analysis which gives consideration to the nonlinearity of material dependent on temperature and time, welding current, voltage, speed, sequence and constraint. In this study, the welding deformation is analyzed by using thermo-elastic method for PCTC(Pure Car and Truck Carrier) which carries cars and trucks. PCTC uses thin plates of 6mm thickness which is susceptible to welding heat. The analysis dimension is 19,200mm(length) * 13,825mm(width) * 376mm(height). MARC and MENTAT are used as pre and post processor and solver. The boundary conditions are based on the real situation in shipyard. The simulations contain convection and gravity. The material of the thin block is mild steel with $235N/mm^2$ yield strength. Its nonlinearity of conductivity, specific heat, Young's modulus and yield strength is applied in simulations. Welding is done in two pass. First pass lasts 2,100 second, then it rests for 900 second, then second pass lasts 2,100 second and then it rests for 20,000 second. The displacement at 0 sec is caused by its own weight. It is maximum 19mm at the free side. The welding line expands, shrinks during welding and finally experiences shrinkage. It results in angular distortion of thin block. Final maximum displacement, 17mm occurs around welding line. The maximum residual stress happens at the welding line, where the stress is above the yield strength. Also, the maximum equivalent plastic strain occurs at the welding line. The plastic strain of first pass is more than that of second pass. The flatness of plate in longitudinal direction is calculated in parallel with the direction of girder and compared with deformation standard of ${\pm}15mm$. Calculated value is within the standard range. The flatness of plate in transverse direction is calculated in perpendicular to the direction of girder and compared with deformation standard of ${\pm}6mm$. It satisfies the standard. Buckle of plate is calculated between each longitudinal and compared with the deformation standard. All buckle value is within the standard range of ${\pm}6mm$.

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