• Title/Summary/Keyword: Cowper-Symonds model

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Estimating Strain Rate Dependent Parameters of Cowper-Symonds Model Using Electrohydraulic Forming and Artificial Neural Network (액중 방전 성형과 인공신경망 기법을 활용한 Cowper-Symonds 구성 방정식의 변형률 속도 파라메터 역추정)

  • Byun, H.B.;Kim, J.
    • Transactions of Materials Processing
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    • v.31 no.2
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    • pp.81-88
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    • 2022
  • Numerical analysis and dynamic material properties are required to analyze the behavior of workpiece during an electrohydraulic forming (EHF) process. In this study, EHF experiments were conducted under three conditions (6, 7, 8 kV). Dynamic material properties of Al 5052-H34 were inversely estimated through an ANN (Artificial Neural Network) model constructed based on LS-Dyna analysis results. Parameters of Cowper-Symonds constitutive equation, C and p, were used to implement dynamic material properties. By comparing experimental results of three conditions with ANN model results, optimized parameters were obtained. To determine the reliability of the derived parameters, experimental results, LS-Dyna analysis results, and ANN results of three conditions were compared using MSE and SMAPE. Valid parameters were obtained because values of indicators were within confidence intervals.

Determination of plastic concrete behavior at different strain rates to determine Cowper-Symonds constant for numerical modeling

  • Nateghi, Reza;Goshtasbi, Kamran;Nejati, Hamid Reza
    • Computers and Concrete
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    • v.26 no.3
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    • pp.227-237
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    • 2020
  • Strain rate investigations are needed to calibrate strain-rate-dependent material models and numerical codes. An appropriate material model, which considers the rate effects, need to be used for proper numerical modeling. The plastic concrete cut-off wall is a special underground structure that acts as a barrier to stop or reduce the groundwater flow. These structures might be subjected to different dynamic loads, especially earthquake. Deformability of a structure subjected to dynamic loads is a principal issue which need to be undertaken during the design phase of these structures. The characterization of plastic concrete behavior under different strain rates is essential for proper designing of cut-off walls subjected to dynamic loads. The Cowper-Symonds model, as one of the most commonly applied material models, complies well with the behavior of a plastic concretes in low to moderate strain rates and will be useful in explicit dynamics simulations. This paper aims to present the results of an experimental study on mechanical responses of one of the most useful types of plastic concrete and Cowper-Symonds constant determination procedures in a wide range of strain rate from 0.0005 to 107 (1/s). For this purpose, SHPB, uniaxial, and triaxial compression tests were done on plastic concrete samples. Based on the results of quasi-static and dynamic tests, the dynamic increase factors (DIF) of this material in different strain rates and stress state conditions were determined for calibration of the Cowper - Symonds material models.

On the structural behavior of ship's shell structures due to impact loading

  • Lim, Hyung Kyun;Lee, Joo-Sung
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.1
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    • pp.103-118
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    • 2018
  • When collision accident between ships or between ship and offshore platform occurs, a common phenomenon that occurs in structures is the plastic deformation accompanied by a large strain such as fracture. In this study, for the rational design against accidental limit state, the plastic material constants of steel plate which is heated by line heating and steel plate formed by cold bending procedure have been defined through the numerical simulation for the high speed tension test. The usefulness of the material constants included in Cowper-Symonds model and Johnson-Cook model and the assumption that strain rate can be neglected when strain rate is less than the intermediate speed are verified through free drop test as well as comparing with numerical results in several references. This paper ends with describing the future study.

Turbine Case Containment Capability Evaluation Using Finite Element Analysis (유한요소해석을 이용한 터빈 케이스의 컨테인먼트 성능 평가)

  • Jun-woo Baek;Sang-woo Kim;Soo-yong Lee
    • Journal of Aerospace System Engineering
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    • v.17 no.5
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    • pp.19-27
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    • 2023
  • In this study, we used finite element analysis to conduct a containment capability evaluation of a turbine case. When analyzing the impact behavior of structures subjected to impact loads, it is important to consider the strain rate, as it affects the increase in flow stress. Therefore, we applied three material models (Cowper-Symonds, Johnson-Cook, and Modified Johnson-Cook) for the impact analysis. To validate these material models, we performed an impact test on an aluminum 6061 plate. By comparing and analyzing the experimental and analytical results, we determined that the Modified Johnson-Cook material model exhibited the least error. As a result, we applied this material model to evaluate the containment capability of the turbine case. This evaluation involved determining the occurrence of penetration, as well as the stress and strain induced at the collision area due to the initial velocity of the blade.

Comparison of Forming Limit Diagram to Prove Improved Formability of High-speed Forming Acquired Experimentally and Theoretically (고속 성형의 성형성 향상 입증을 위한 실험 및 이론적 성형한계선도 획득 및 비교)

  • M. S. Kim;Y. H. Jang;J. Kim
    • Transactions of Materials Processing
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    • v.33 no.2
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    • pp.87-95
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    • 2024
  • The current study aims to prove that high-speed forming has better formability than conventional low-speed forming. Experimentally, the quasi-static forming limit diagram was obtained by Nakajima test, and the dynamic forming limit diagram was measured by electrohydraulic forming. For the experiments, the LS-DYNA was used to create the optimal specimen for electrohydraulic forming. The strain measurement was performed using the ARGUS, and comparison of the forming limit diagrams confirmed that EHF showed better formability than quasi-static forming. Theoretically, the Marciniak-Kuczynski model was used to calculate the theoretical forming limit. Swift hardening function and Cowper Symonds model were applied to predict the forming limits in quasi-static and dynamic status numerically.

Fracture Estimation of Stiffened Plates under Impact Loading using Micromechanics Plasticity Model (미시역학 소성모델을 이용한 충격하중을 받는 보강판의 파단 예측)

  • Choung, Joon-Mo;Cho, Sang-Rai;Kim, Kyung-Su
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.6
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    • pp.611-621
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    • 2009
  • This paper first reviews the physical meanings and the expressions of two representative strain rate models: CSM (Cowper-Symonds Model) and JCM (Johnson-Cook Model). Since it is known that the CSM and the JCM are suitable for low-intermediate and intermediate-high rate ranges, many studies regarding marine accidents such as ship collision/grounding and explosion in FPSO have employed the CSM. A formula to predict the material constant of the CSM is introduced from literature survey. Numerical simulations with two different material constitutive equations, classical metal plasticity model based on von Mises yield function and micromechanical porous plasticity model based on Gurson yield function, have been carried out for the stiffened plates under impact loading. Simulation results coincide with experimental results better when using the porous plasticity model.

NUMERICAL SIMULATION OF CONVEX AND CONCAVE TUBES WITH CONSIDERATION OF STRAIN RATE SENSITIVITY

  • Ye, B.W.;Oh, S.;Cho, Y.B.;Sin, H.C.
    • International Journal of Automotive Technology
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    • v.8 no.2
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    • pp.193-201
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    • 2007
  • The present paper deals with the application of the explicit finite element code, PAM-CRASH, to simulate the crash behavior of steel thin-walled tubes with various cross-sections subjected to axial loading. An isotropic elastic, linear strain-hardening material model was used in the finite element analysis and the strain-rate sensitivity of mild steel was modeled by using the Cowper-Symonds constitutive equation with modified coefficients. The modified coefficients were applied in numerical collapse simulations of 11 types of thin-walled polygon tubes: 7 convex polygon tubes and 4 concave polygon tubes. The results show that the thin hexagonal tube and the thick octagonal tube showed relatively good performance within the convex polygon tubes. The crush strengths of the hexagonal and octagonal tubes increased by about 20% and 25% from the crush strength of the square tube, respectively. Among the concave tubes, the I-type tube showed the best performance. Its crush strength was about 50% higher than the crush strength of the square tube.

On the Derivation of Material Constants Associated with Dynamic Behavior of Heat Formed Plates (열성형 판 부재의 동적거동에 관련된 재료상수 산출에 관한 연구)

  • Lee, Joo-Sung;Lim, Hyung-Kyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.2
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    • pp.105-114
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    • 2016
  • When impact load is applied to a plate structure, a common phenomenon that occurs in structures is plastic deformation accompanied by a large strain and eventually it will experience a fracture accordingly. In this study, for the rational design against accidental limit state, the plastic material constants of steel plate which is formed by line heating and by cold bending procedure have been defined through the numerical simulation for the high speed tension test. The usefulness of the material constants included in Cowper-Symonds model and Johnson-Cook model with the assumption that strain rate can be neglected when strain rate is less than the intermediate speed is verified through comparing the present numerical results with those in references. This paper ends with describing the future study.

A Study on the Computational Analysis of 355nm UV Laser Multiple-Pulsed Micro Machining Considering the Strain Rate Effect (변형률 속도 효과를 고려한 355nm UV 레이저 다중 펄스 미세가공의 전산해석에 관한 연구)

  • Lee, Jung-Han;Oh, Jae-Yong;Park, Sang-Hu;Nam, Gi-Jung;Ryu, Gwang-Hyun;Shin, Suk-Hun;Shin, Bo-Sung
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.10
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    • pp.29-33
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    • 2010
  • UV laser micromachining of metallic materials has been used in microelectronic and other industries. This paper shows on experimental investigation of micromachining of copper using a 355nm UV laser with 50ns pulse duration. A finite element model with high strain rate effect is especially suggested to investigate the phenomena which are only dominated by mechanically pressure impact in disregard of thermally heat transfer. In order to consider the strain rate effect, Cowper-Symonds model was used. To analyze the dynamic deformation during a very short processing time, which is nearly about several tens nanoseconds, a commercial Finite Element Analysis (FEA) code, LS-DYNA 3D, was employed for the computational simulation of the UV laser micro machining behavior for thin copper material. From these computational results, depth of the dent (from one to six pulsed) were observed and compared with previous experimental results. This will help us to understand interaction between UV laser beam and material.