• Title/Summary/Keyword: Strain calculation

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An ab Initio Study of Interfacial Energies between Group IV Transition Metal Carbides and bcc Iron (IV 천이금속 탄화물과 bcc Fe간 계면 에너지의 제일원리 연구)

  • Chung Soon-Hyo;Jung Woo-Sang;Byun Ji-Young
    • Korean Journal of Materials Research
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    • v.15 no.9
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    • pp.566-576
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    • 2005
  • This paper describes an ab Initio study on interface energies, misfit strain energies, and electron structures at coherent interfaces Fe(bcc structure)/MCs(NaCl structure M=Ti, Zr, Hf). The interface energies at relaxed interfaces Fe/TiC, Fe/ZrC and Fe/HfC were 0.263, 0.153 and $0.271 J/m^2$, respectively. It was understood that the dependence of interface energy on the type of carbide was closely related to changes of the binding energies between Fe, M and C atoms before and after formation of the interfaces Fe/MCs with the help of the DLP/NNBB (Discrete Lattice Plane/ Nearest Neighbour Broken Bond) model and data of the electron structures. The misfit strain energies in Fe/TiC, Fe/ZrC and Fe/HfC systems were 0.390, 1.692 and 1.408 eV per 16 atoms(Fe: 8 atoms and MC; 8 atoms). More misfit energy was generated as difference of lattice parameters between the bulk Fe and the bulk MCs increased.

Mechanics of a variable damping self-centering brace: Seismic performance and failure modes

  • Xie, Xing-Si;Xu, Long-He;Li, Zhong-Xian
    • Steel and Composite Structures
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    • v.31 no.2
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    • pp.149-158
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    • 2019
  • The force-deformation behavior, strain distribution and failure modes of a variable damping self-centering brace (VD-SCB) are theoretically analyzed, experimentally studied, and numerically simulated to guide its design. The working principle of the brace is explained by describing the working stages and the key feature points of the hysteretic curve. A large-scale brace specimen was tested under different sinusoidal excitations to analyze the recentering capability and energy dissipation. Results demonstrate that the VD-SCB exhibits a full quasi-flag-shaped hysteretic response, high ultimate bearing capacity, low activation force and residual deformation, and excellent recentering and energy dissipation capabilities. Calculation equations of the strain distribution in different parts of the brace are proposed and are compared with the experimental data and simulated results. The developments of two failure modes are compared. Under normal circumstances, the brace fails due to the yielding of the spring blocking plates, which are easily replaced to restore the normal operating conditions of the brace. A brief description of the design procedure of the brace is proposed for application.

Test Equipment and Test Portfolio for Education of Strain and Vibration Measurements (변형률 및 진동 측정 교육을 위한 실험 장치와 실험 포트폴리오)

  • Yang, Jimin;Lee, Dooyoul
    • Journal of Practical Engineering Education
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    • v.13 no.3
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    • pp.497-505
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    • 2021
  • Test equipment for strain and vibration measurement was designed for educational purposes. Widely available and affordable materials were put into making this device. Three strain gauges placed on an iron ruler made cantilevered beam were used to measure values according to external load. An electromagnet triggered excitation and a function generator created vibration of the beam. We present three different tests conducted with this equipment regarding production of scales, measurement of resonant frequency, and calculation of the difference between excitation frequency and measured frequency. Overall, this paper presents a piece of simple yet inexpensive test equipment and its corresponding portfolio with expectations of being applied to the educational field for efficient measurement of load and vibration.

Multiaxial ratcheting assessment of Z2CND18.12N steel using modified A-V hardening rule

  • Xiaohui Chen;Yang Zhou;Wenwu Liu;Xu Zhao
    • Steel and Composite Structures
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    • v.49 no.1
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    • pp.1-17
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    • 2023
  • Based on Ahmadzadeh-Varvani hardening rule (A-V model), multiaxial ratcheting effect of Z2CND18.12N austenitic stainless steel is simulated by ABAQUS with user subroutine UMAT. The results show that the predicted results of the origin multiaxial A-V model are lower than the experimental data, and it is difficult to control ratcheting strain rate. In order to improve the predicted capability of A-V model, the A-V model is modified. In this study. Moreover, under the assumption of the von Mises yield criterion and normal plasticity flow rule, we develop a numerical algorithm of plastic strain with the improved model to implement the finite element calculation of the model. Internal iteration in the numerical algorithm was implemented with the Euler backward method, which calculated the trial strain for each equilibrium iteration using the consistent tangent matrix. With a user subroutine, the proposed model is programmed into ABAQUS for a user - executable version. By simulating the uniaxial ratcheting of a round bar made of Z2CND18.12N austenitic stainless steel, we observe that the predicted results simulated by ABAQUS with UMAT are compared with the experimental data. The predicted results of the improved multiaxial A-V model are consistent well with the experimental data.

THE SCIENTIFIC BASIS OF THE PROCESS OF VEGETABLE JUICE SQUEEZINDG OUT OF LEAFSTALK BIOMASS

  • Proydak, N.I.
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1996.06c
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    • pp.953-956
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    • 1996
  • The main regularities of the process of strain of the leafstalk boimass of the annual and parennial sown grasses (hard phase) with the simulataneous filtration of the vegetable juice (liquid phase) in the working members of the uninterrupted action(screw press) and the periodic action (Briqueting stamp press) were established . The engineering methods of calculation of the basic constructive -technological parameter of the pres equipment of the given types were worked out.

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Discharge Capacity of PBD and Deep Soft Soil Improvement (PBD의 배수특성과 대심도 지반개량)

  • 구본효
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.10a
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    • pp.585-592
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    • 2002
  • Discharge capacity of PBD is the most important factor of specification items to control any product of PBD. There is no standard specification for the PBD. Because the degree of discharge capacity is related to well resistance, install depth, maximum strain etc in the field. Discharge capacity test of PBD, permeability test of filter are conducted using PBD materials used in Korea. This paper proposes the critical discharge capacity for deep PBD under condition of non well resistance based upon their test and theoretical calculation. It was found that discharge capacity more than about 10 ㎤/sec is enough to undergo designing of deep PBD without well resistance.

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Finite Difference Analysis of Safe Load and Critical Time in a Four-Parameter Viscoelastic Column

  • Shin, Jong-Gye;Lee, Jae-Yeul
    • Journal of Hydrospace Technology
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    • v.2 no.2
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    • pp.80-87
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    • 1996
  • A creep-buckling analysis is studied for a simply-supported viscoelastic column. The fluid-type four-parameter model is employed because of its general applicability to creep materials. Using the imperfection-based incremental approach, a nonlinear load deflection equation is derived. Safe load and critical (or life) time which characterize the stability of the viscoelastic column are obtained mathematically and interpreted physically. A finite difference algorithm is applied to solve the second-order differential equation of the viscoelastic stress-strain relation. Numerical calculation has been made and discussed far a SUS316 stainless steel column.

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Ultimate Fracture Strength Analysis of Initially Cracked Plate (초기균열을 가진 판의 최종파괴 강도해석)

  • 백점기;서흥원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.133-138
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    • 1991
  • The aim of the present paper is to develop a computer program predicting ultimate fracture strength of initially cracked structure under monotonically increasing external loads. For this purpose, two kinds of 3-D isoparametric solid elements, one 6-node wedge element and another 8-node brick element are formulated along the small deformation theory. Plasticity in the element is checked using von Mises' yield criterion. Elasto-plastic stiffness matrix of the element is calculated taking account of strain hardening effect. If the principal strain at crack tip which is one nodal point exceeds the critical strain dependin on the material property, crack tip is supposed to be opened and the crack tip node which was previously constrained in the direction perpendicular to the crack line is released. After that, the crack lay be propagated to the adjacent node. Once a crack tip node is fractured, the energy of the newly fractured node should be released which is to be absorbed by the remaining part. The accumulated reaction force which was carried by the newly fractured node so far is then applied in the opposite direction. During the action of crack tip relief force, since unloading may be occured in the plastic element, unloading check should be made. If a plastic element unloads, elastic stress-strain equation is used in the calculation of the stiffness matrix of the element, while for a loading element, elasto-plastic stress-strain equation is continuously used. Verification of the computer program is made comparing with the experimental results for center cracked panel subjected to uniform tensile load. Also some factors affecting ultimate fracture strength of initially cracked plate are investigated. It is concluded that the computer program developed here gives an accurate solution and becomes useful tool for predicting ultimate fracture load of initially cracked structural system under monotonically increasing external loads.

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A Manufacturing Process analysis of Large Exhaust Valve Spindle considering Microstructure Evolution (미세조직 변화를 고려한 대형 배기밸브 스핀들 제조공정 해석)

  • Jeong Ho-Seung;Cho Jong-Rae;Park Hee-Cheon
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.8
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    • pp.938-945
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    • 2005
  • The microstructure evolution in hot forging process is composed of dynamic recrystallization during deformation as well as grain growth during dwell time. Therefore, the control of forging parameters such as strain, strain rate. temperature and holding time is important because the microstructure change in hot working affects the mechanical properties. Modeling equations are developed to represent the flow curve. grain size. recrystallized volume fraction and grain growth phenomena by various tests. The developed modeling equations were combined with thermo-viscoplastic finite element modeling to predict the microstructure change evolution during hot forging process. The large exhaust valve spindle (head diameter of 512mm) was simulated by closed die forging with hydraulic press and cooled in air after forging. The preform was heated to each 1080 and 1150$^{\circ}C$. Numerical calculation was performed by DEFORM-2D. a commercial finite element code. Heat transfer can be coupled with the deformation analysis in a non-isothermal deformation analysis. In order to obtain the fine and homogeneous microstructure and good mechanical properties in forging. the FEM would become a useful tool in the simulation of the microstructure development. In forging, appropriate temperature, strain and strain rate and rapid cooling are required to obtain the fine grain microstructure The optimal forging temperature and effective strain range of Nimonic 80A for large exhaust valve spindle are about 1080$\∼$l120$^{\circ}C$ and 150$\∼$200$\%$.

Linear Static and Free Vibration Analysis of Laminated Composite Plates and Shells using a 9-node Shell Element with Strain Interpolation (변형률 보간 9절점 쉘 요소를 이용한 적층복합판과 쉘의 선형 정적 해석 및 자유진동 해석)

  • 최삼열;한성천
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.3
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    • pp.279-293
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    • 2004
  • The analysis of linear static and free vibration problems of isotropic and laminated composite plates and shells is performed by the improved 9-node shell element with the new strain displacement relationship. In that relationship, the effect of new additional terms between the bending strain and displacement has been investigated in the warping problem. Natural co ordinate based strains, stresses and constitutive equations are used. The assumed natural strain method is used to alleviate both membrane and shear locking behavior from the element. The Lanczos method is employed in the calculation of the eigenvalues of laminated composite structures and the Gauss integration rule is adopted to evaluate the mass matrix. The numerical examples are compared with the analytical solutions to validate the current formulation and the results presented could be useful for the understanding of the behaviour of laminates under free vibration conditions.