• 제목/요약/키워드: Inelastic Constitutive Equation

검색결과 17건 처리시간 0.019초

Numerical procedures for extreme impulsive loading on high strength concrete structures

  • Danielson, Kent T.;Adley, Mark D.;O'Daniel, James L.
    • Computers and Concrete
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    • 제7권2호
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    • pp.159-167
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    • 2010
  • This paper demonstrates numerical techniques for complex large-scale modeling with microplane constitutive theories for reinforced high strength concrete, which for these applications, is defined to be around the 7000 psi (48 MPa) strength as frequently found in protective structural design. Applications involve highly impulsive loads, such as an explosive detonation or impact-penetration event. These capabilities were implemented into the authors' finite element code, ParaAble and the PRONTO 3D code from Sandia National Laboratories. All materials are explicitly modeled with eight-noded hexahedral elements. The concrete is modeled with a microplane constitutive theory, the reinforcing steel is modeled with the Johnson-Cook model, and the high explosive material is modeled with a JWL equation of state and a programmed burn model. Damage evolution, which can be used for erosion of elements and/or for post-analysis examination of damage, is extracted from the microplane predictions and computed by a modified Holmquist-Johnson-Cook approach that relates damage to levels of inelastic strain increment and pressure. Computation is performed with MPI on parallel processors. Several practical analyses demonstrate that large-scale analyses of this type can be reasonably run on large parallel computing systems.

Progressive Inelastic Deformation Characteristics of Cylindrical Structure with Plate-to-Shell Junction Under Moving Temperature Front

  • Lee, Hyeong-Yeon;Kim, Jong-Bum
    • Journal of Mechanical Science and Technology
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    • 제17권3호
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    • pp.400-408
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    • 2003
  • A study on the progressive inelastic deformation behavior of the 316 L stainless steel cylindrical structure with plate-to-shell junction under moving temperature front was carried out by structural test and analysis. The structural test intends to simulate the thermal ratcheting behavior occurring at the reactor baffle of the liquid metal reactor as free surface of hot sodium pool moves up and down under plant transients. The thermal ratchet load that heats the specimen up to 550$^{\circ}C$ was applied repeatedly and residual deformation was measured. The thermal ratcheting test was carried out with two types of cylindrical structures, one with plate to-shell junction and the other without the junction to investigate the effects of the geometric discontinuities on the global ratcheting deformation. The temperature distributions of the test specimens were measured and were used for the ratcheting analysis. The ratchet deformations were analyzed with the constitutive equation of the non-linear combined hardening model. The analysis results were in good agreement with those of the structural tests.

점소성모델을 이용한 이방성 재료의 비탄성 해석 (Inelastic Analysis of Anisotropic Materials Using the Viscoplastic Model)

  • 신찬호
    • 대한기계학회논문집
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    • 제15권5호
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    • pp.1657-1664
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    • 1991
  • 본 연구에서는 재료의 이방성을 고려한 점소성 모델을 제시하였다. 공학적 인 견지에서 볼 때 이방성 재료의 기계적 거동을 표한하기 위해서는 단순화 이론(si- mplified theory)의 개발이 필요하게 되었으며 이에따라 Betten은 등방성 소성 포텐셜 (isotropic plastic potential)에서 응력텐서를 재료의 이방성을 포함하는 변환 응력 텐서(mapped stress tensor)로 대체함으로써 이방성을 고려하였다. 그러므로 실제 이방성 재료의 비탄성 거동은 가상의 등방성 상태로 치환되며 여기에 소성 포텐셜 이 론을 적용하게 된다.

고강도 강재의 비탄성 거동을 모사하기 위한 복합경화모델 파라미터 결정 (Determination of Combined Hardening Model Parameters to Simulate the Inelastic Behavior of High-Strength Steels)

  • 조은선;조진우;한상환
    • 한국지진공학회논문집
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    • 제27권6호
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    • pp.275-281
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    • 2023
  • The demand for high-strength steel is rising due to its economic efficiency. Low-cycle fatigue (LCF) tests have been conducted to investigate the nonlinear behaviors of high-strength steel. Accurate material models must be used to obtain reliable results on seismic performance evaluation using numerical analyses. This study uses the combined hardening model to simulate the LCF behavior of high-strength steel. However, it is challenging and complex to determine material model parameters for specific high-strength steel because a highly nonlinear equation is used in the model, and several parameters need to be resolved. This study used the particle swarm algorithm (PSO) to determine the model parameters based on the LCF test data of HSA 650 steel. It is shown that the model with parameter values selected from the PSO accurately simulates the measured LCF curves.

전단변형 효과가 고려된 보-기둥 섬유유한요소를 이용한 철근콘크리트 보의 비탄성 거동특성 평가 (Evaluation of Reinforced Concrete Beam's Inelastic Behavior Characteristics using Beam-column Fiber Finite Element considering Shear Deformation Effect)

  • 천주현;황철성;박광민;신현목
    • 한국구조물진단유지관리공학회 논문집
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    • 제21권3호
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    • pp.130-137
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    • 2017
  • 본 연구에서는 기존의 저자 등에 의해 수행된 유연도법에 근거한 보-기둥 섬유요소에 수치해석적 방법으로부터 전단변형 효과를 고려할 수 있도록 수정된 정식화 방안과 단면에 대한 비탄성 전단응답 이력 구성관계식을 새로이 제안함으로써 전단 및 휨 - 전단파괴 양상을 나타내는 철근콘크리트 보에 대한 합리적인 해석적 방안을 마련하는 것을 목표로 한다. 주요 실험변수들이 전단거동 특성에 미치는 영향을 파악하기 위하여 모두 종방향 철근의 항복전에 전단파괴가 일어나도록 설계된 총 6개의 철근콘크리트 보 실험체를 검증 대상으로 저자 등에 의해 새로이 수정된 구성관계식을 적용한 비선형 유한요소해석 프로그램(RCAHEST)을 통한 해석을 수행하였다. 모든 실험체에 대한 파괴모드와 파괴시까지의 전반적인 거동 특성을 비교적 적절히 예측하고 있음을 확인하였으며 이러한 연구결과들은 향후, 대형화 복잡화 되어가고 있는 전체 구조물에 대한 신뢰도 높은 해석을 수행하기 3차원 해석에도 충분히 활용될 수 있을 것으로 기대된다.

316L 스테인리스강 원통 구조물의 열라체팅 변형 시험 및 해석 (Test and Analysis of Thermal Ratcheting Deformation for 316L Stainless Steel Cylindrical Structure)

  • 이형연;김종범;이재한
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.479-486
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    • 2002
  • In this study, the progressive inelastic deformation, so called, thermal ratchet phenomenon which can occur in high temperature structures of liquid metal reactor was simulated with thermal ratchet structural test facility and 316L stainless steel test cylinder. The thermal ratchet deformation at the reactor baffle cylinder of the liquid metal reactor can occur due to the moving temperature distribution along the axial direction as the sodium free surface moves up and down under the cyclic heat-up and cool-down transients. The ratchet deformation was measured with the laser displacement sensor and LVDTs after cooling the structural specimen which is heated up to 55$0^{\circ}C$ with steep temperature gradients along the axial direction. The temperature distribution of the test cylinder along the axial direction was measured with 28 channels of thermocouples and was used for the ratchet analysis. The thermal ratchet deformation was analyzed with the constitutive equation of nonlinear combined hardening model which was implemented as ABAQUS user subroutine and the analysis results were compared with those of the test. Thermal ratchet load was applied 9 times and the residual displacement after 9 cycles of thermal load was measured to be 1.79mm. The ratcheting deformation shapes obtained by the analysis with the combined hardening model were in reasonable agreement with those of the structural tests.

탄성지반상에 놓인 철근 콘크리트 축대칭 쉘의 정적 및 동적 해석(IV) -축대칭 쉘의 동적 응답에 대한 철근의 영향을 중심으로- (Static and Dynamic Analysis of Reinforced Concrete Axisymmetric Shell on the Elastic Foundation -Effect of Steel on the Dynamic Response-)

  • 조진구
    • 한국농공학회지
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    • 제39권4호
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    • pp.106-113
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    • 1997
  • Dynamic loading of structures often causes excursions of stresses well into the inelastic range, and the influence of the geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. A structure in a nuclear power plant is a structure of importance which puts emphasis on safety. A nuclear container is a pressure vessel subject to internal pressure and this structure is constructed by a reinforced concrete or a pre-stressed concrete. In this study, the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion is numerically solved by a central difference scheme. The constitutive relation of concrete is modeled according to a Drucker-Prager yield criterion in compression. The reinforcing bars are modeled by a smeared layer at the location of reinforcements, and the steel layer model under Von Mises yield criteria is adopted to represent an elastic-plastic behavior. To investigate the dynamic response of a nuclear reinforced concrete containment structure, the steel-ratios of 0, 3, 5 and 10 percent, are considered. The results obtained from the analysis of an example were summarized as follows 1. As the steel-ratio increases, the amplitude and the period of the vertical displacements in apex of dome decreased. The Dynamic Magnification Factor(DMF) was some larger than that of the structure without steel. However, the regular trend was not found in the values of DMF. 2. The dynamic response of the vertical displacement and the radial displacement in the dome-wall junction were shown that the period of displacement in initial step decreased with the steel-ratio increases. Especially, the effect of the steel on the dynamic response of radial displacement disapeared almost. The values of DMF were 1.94, 2.5, 2.62 and 2.66, and the values increased with the steel-ratio. 3. The characteristics of the dynamic response of radial displacement in the mid-wall were similar to that of dome-wall junction. The values of DMF were 1.91, 2.11, 2.13 and 2.18, and the values increased with the steel-ratio. 4. The amplitude and the period of the hoop-stresses in the dome, the dome-wall junction, and the mid-wall were shown the decreased trend with the steel-ratio. The values of DMF were some larger than those of the structure without steel. However, the regular trend was not found in the values of DMF.

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