• Title/Summary/Keyword: elastic and elasto-plastic materials

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A Study on the Prediction of Fatigue Life in Dissimilar Materials Die Considering the Heat Shrink Fit (열박음을 고려한 이종재 금형의 피로수명 예측에 관한 연구)

  • 여은구;김엽래
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.05a
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    • pp.93-98
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    • 1999
  • Generally, the - life of die is limited by fatigue fracture or dimensional inaccuracy originated from wear. In this paper, to predict the fatigue life of the dissimilar materials die, the stress and stxain histories of die can be predicted by the analysis of elasto-plastic finite element neth hod and the elastic analysis of die during the process analysis of workpiece. Using heat shrink fit analysis, initial stress of the k r t die is computed. Also, the stress-life curve of die material can be obtained through experiment. With the above two facts, we propose the analysis method of predicting fatigue life in die. In the proposed model, tlz analysis of elastic-plastic finite element method for material is carried out by using ABAQUS. Surface force resulted from the contacting border of the die and workpiece is tmnsformed into the nodal force of die to implement elastic analysis. Besides, the proposed analysis model of die is applied to the one material and the dissimilar materials extrusion die.

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The piling-up/sinking-in response of elasto-plastic materials in nano-indentation using sharp indenter (나노 인덴테이션 시험에서의 탄소성 재료의 파일업/싱크인 특성)

  • Kim, Byung-Min;Lee, Chan-Joo;Lee, Jung-Min;Lee, Sang-Jin
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1367-1372
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    • 2007
  • Over the past decade, many computational researches have been performed to investigate quantitative relationships between load-displacement and material properties. But piling-up which causes errors to estimate mechanical material properties remains the most significant unresolved issue in nano-indentation test. This study has estimated quantitative aspects of the effects of material properties, especially work hardening exponent, on piling up/sinking in response of various materials. Using FE Analysis, piling up/sinking in response when material is indented by sharp indenter is investigated to evaluate the effects of material properties. From the FE analysis result, quantitative relationships between piling up/sinking in height and material properties is assessed using dimensional analysis which is used to define scaling variables and universal functions. And nano-indentaion test is performed to verify this relation on various materials. From the result of comparison with prediction from dimensional function and experiment, the work hardening exponent was found to have greater influence on the piling up/sinking in height during the nano-indentation than other material properties, such as elastic modulus and yield stress.

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Integrated Analysis for the Shrink-Fitted Die with Multi stress-Ring of Dissimilar Materials (열박음된 이종재 다중보강링을 갖는 금형의 통합해석)

  • Yoh, Eun-Gu;Lee, Yong-Shin
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.40-46
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    • 2001
  • An integrated analysis for the thermo-elastic deformation, fatigue, wear and brittle damage evolution of the shrink-fitted die with multi stress-ring of dissimilar materials is presented. A simple numerical algorithm for the moving elastic boundaries characterizing the contacts of the insert and multi stress-rings is presented. The initial stress distribution in the die due to shrink-fit is considered and the traction at the die surface contacting with the work piece is obtained by analyzing the elasto-plastic deformation of work piece. Elastic analysis of the separate-type die is performed and then the evolution of brittle damage, wear and fatigue life are predicted. This integrated analysis is applied to the extrusion die with two layers of stress-rings and the results are discussed in detail.

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Homogenized Elastic-plastic Relation based on Thermodynamics and Strain Localization Analyses for Particulate Composite (열역학 기반 내부 변수를 이용한 균질화 탄소성 구성방정식 및 입자강화 복합재에서의 소성변형집중)

  • S. J. Yun;K. K. Kim
    • Transactions of Materials Processing
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    • v.33 no.1
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    • pp.18-35
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    • 2024
  • In the present work, the evolution rules for the internal variables including continuum damage factors are obtained using the thermodynamic framework, which are in turn facilitated to derive the elastic-plastic constitutive relation for the particulate composites. Using the Mori-Tanaka scheme, the homogenization on state and internal variables such as back-stress and damage factors is carried out to procure the rate independent plasticity relations. Moreover, the degradation of mechanical properties of constituents is depicted by the distinctive damages such that the phase and interfacial damages are treated individually accordingly, whereas the kinematic hardening is depicted by combining the Armstrong-Frederick and Phillips' back-stress evolutions. On the other hand, the present constitutive relation for each phase is expressed in terms of the respective damage-free effective quantities, then, followed by transformation into the damage affected overall nominal relations using the aforementioned homogenization concentration factors. An emphasis is placed on the qualitative analyses for strain localization by observing the perturbation growth instead of the conventional bifurcation analyses. It turns out that the proposed constitutive model offers a wide range of strain localization behavior depending on the evolution of various internal variable descriptions.

A New Tangent Stiffness for Anisotropic Elasto-Viscoplastic Analysis of Polycrystalline Deformations (다결정재 소성변형의 탄소성 해석을 위한 접선강성 개발)

  • Yoon, J.H.;Huh, H.;Lee, Y.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.349-352
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    • 2006
  • The plastic deformation of polycrystalline materials is induced by changes of the microstructure when the loading is beyond the critical state of stress. Constitutive models for the crystal plasticity have the common objective which relates microscopic single crystals in the crystallographic texture to the macroscopic continuum point. In this paper, a new consistent tangent stiffness for the anisotropic elasto-viscoplastic analysis of polycrystalline deformation is developed, which can be used in the finite element analysis for the slip-dominated large deformation of polycrystalline materials. In order to calculate the consistent tangent stiffness, the state function is defined based on the consistency condition between the elastic and plastic stress. The rate of shearing increment($\Delta{\gamma}^{\alpha}$) is calculated with satisfying the consistency condition. The consistency condition becomes zero when the trial resolved shear stress($\tau^{{\alpha}^*}$) becomes resolved shear stress($\tau^{\alpha}$) at every step. Iterative method is utilized to calculate the rate of shearing increment based on the implicit backward Euler method. The consistent tangent stiffness can be formulated by differentiating the rate of shearing increment with total strain increment after the instant rate of shearing increment converges. The proposed tangent stiffness is applied to the ABAQUS/Standard by implementing in the ABAQUS/UMAT.

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Anisotropic-Asymmetric Yield Criterion and Anisotropic Hardening Law for Composite Materials: Theory and Formulations

  • Kim Ji-Hoon;Lee Myoung-Gyu;Chung Kwan-Soo;Youn Jae-Ryoun;Kang Tae-Jin
    • Fibers and Polymers
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    • v.7 no.1
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    • pp.42-50
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    • 2006
  • In this paper, elasto-plastic constitutive equations for highly anisotropic and asymmetric materials are developed and their numerical implementation is presented. Some engineering materials such as fiber reinforced composites show different material behavior in the different material directions (anisotropy) as well as in tension and compression (asymmetry). Although these materials have mostly been analyzed using the anisotropic elastic constitutive equations, the necessity of consideration of plastic properties has been frequently reported in the previous works. In order to include both the anisotropic and asymmetric properties of composite materials, the Drucker-Prager yield criterion is modified by adding anisotropic parameters and initial components of translation. The implementation procedure for the developed theory and algorithms is presented based on the implicit finite element scheme. The measured data from the previous work are used to validate the present constitutive equations.

An elastic contact algorithm in SPH by virtual work principle (SPH에 가상일 원리를 적용한 탄성 접촉 알고리즘)

  • Seo, Song-Won;Min, Oak-Key
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1346-1351
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    • 2003
  • There is few research about contact problem in SPH because it is primarily suitable to analyze the large deformation problem. However, an elasto-plastic problem with small deformation need to be considered about contact characteristics. The numerical formulating methods for SPH is induced to be able to obtain solutions based on a variational method in contact problem. The contact algorithm presented is applied to the elastic impact problem in 1D and 2D. The results show thai an imaginary tension and a numerical instability which happen in impacting between different materials can be removed and contact forces which could not have been calculated are able to obtain.

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Study on Springback Control in Reconfigurable Die Forming (가변금형 성형에서 탄성회복 제어 연구)

  • Ha, S.M.;Park, J.W.;Kim, T.W.
    • Transactions of Materials Processing
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    • v.17 no.6
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    • pp.393-400
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    • 2008
  • Springback is one of the most difficult phenomena to analyze and control in sheet forming. Most of traditional springback control methods rely on experiences of skilled workers in industrial fields. This study focuses on prediction and generation of optimum reconfigurable die surfaces to control shape errors originated by springback. For this purpose, a deformation transfer function(DTF) was combined with finite element analysis of the springback in the 2D sheet forming model of elastic-perfectly plastic materials under the condition without blank holder. The results showed shape errors within 1% of the objective shape, which were comparable with analytically predicted errors. In addition to this theoretical analysis, DTF method was also applied to 2D and 3D sheet forming experiments. The experimental results showed ${\pm}0.5$ mm and ${\pm}1.0$ mm shape error distribution respectively, demonstrating that reconfigurable die surfaces were predicted well by the DTF method. Irrespective of material properties and sheet thickness, the DTF method was applicable not only to FEM simulation but also to 2D and 3D elasto-reconfigurable die forming. Consequently, this study shows that springback can be controlled effectively in the elasto-RDF system by using the DTF method.

Accuracy of EPFM Approach Based on the p-Version of F.E.M. (p-Version 유한요소법에 기초한 EPFM 해석법의 정확성)

  • 홍종현;우광성;박진환
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.429-436
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    • 1999
  • The best available solution to predict the fatigue life of structural steels is the implementation of EPFM approach based on the principles and techniques of elasto plastic fracture mechanics. To predict the fatigue life, the conventional Paris law has been modified by substituting the range of J-value denoted by ΔJ for ΔK that is calculated by the proposed p-version model. The proposed P-version finite element model is formulated by the incremental theory of Plasticity that consists of the constitutive equation fur elastic-perfectly plastic materials, Tresca/von-Mises yield criteria, and associated flow rule. The experimental fatigue test is conducted with five UP(Center Clucked Panels) specimens to validate the accuracy of the p-version finite element model. Also, the results obtained by LTM approach have been compared with those by EPFM approach.

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Creep Prediction of Chemical Grouted Sands (약액주입 사질고결토의 크리프 예측)

  • Kang, Hee-Bog;Kim, Jong-Ryeol;Kang, Kwon-Soo;Kim, Tae-Hoon;Hwang, Soung-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.2
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    • pp.195-204
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    • 2004
  • A series of constant creep and repeated creep tests are performed to investigate the behavior of visco-elasto-plastic materials of chemical grouted sands. In the result of constant creep test, the material exhibits three types of shear strain : elastic, plastic, viscoelastic. The elastic, plastic and viscoelastic strains are linear, i.e., the strains are proportional to the stresses for loading. Good agreement is found between the predicted viscoelastic and test results by the power law and the generalized model. In the repeated creep test, the instantaneous recoverable strain is time-independent and the magnitude of accumulated plastic strain increases with number of cycles. Also it is seen that the accumulated plastic strains are approximately proportional to stress. There are no significant differences between test results predicted values for first cycle, and the differences increase relatively insignificantly with number of cycles.