• Title/Summary/Keyword: continuum approach

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Modeling of Mechanical Properties of Concrete Mixed with Expansive Additive

  • Choi, Hyeonggil;Noguchi, Takafumi
    • International Journal of Concrete Structures and Materials
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    • v.9 no.4
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    • pp.391-399
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    • 2015
  • This study modeled the compressive strength and elastic modulus of hardened cement that had been treated with an expansive additive to reduce shrinkage, in order to determine the mechanical properties of the material. In hardened cement paste with an expansive additive, hydrates are generated as a result of the hydration between the cement and expansive additive. These hydrates then fill up the pores in the hardened cement. Consequently, a dense, compact structure is formed through the contact between the particles of the expansive additive and the cement, which leads to the manifestation of the strength and elastic modulus. Hence, in this study, the compressive strength and elastic modulus were modeled based on the concept of the mutual contact area of the particles, taking into consideration the extent of the cohesion between particles and the structure formation by the particles. The compressive strength of the material was modeled by considering the relationship between the porosity and the distributional probability of the weakest points, i.e., points that could lead to fracture, in the continuum. The approach used for modeling the elastic modulus considered the pore structure between the particles, which are responsible for transmitting the tensile force, along with the state of compaction of the hydration products, as described by the coefficient of the effective radius. The results of an experimental verification of the model showed that the values predicted by the model correlated closely with the experimental values.

FLUID-STRUCTURE INTERACTION ANALYSIS FOR VORTEX-INDUCED VIBRATION OF CIRCULAR CYLINDER (유체-구조 연성해석을 통한 원주의 와유기 진동 해석)

  • Kim, S.H.;Ahn, H.T.;Ryue, J.S.;Shin, H.K.;Kwon, O.J.;Seo, H.S.
    • Journal of computational fluids engineering
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    • v.17 no.1
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    • pp.29-35
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    • 2012
  • Fluid-Structure Interaction analysis of a circular cylinder surrounded by incompressible turbulent flow is presented. The fluid flow is modeled by incompressible Navier-Stokes equations in conjunction with large-eddy simulation for turbulent vortical flows. The circular cylinder is modeled as elastic continuum described by elasto-dynamic equation of motion. Finite element method based approach is utilized for unified formulation of fluid-structure interaction analysis. The magnitude and frequency of structural response is analysed in comparison to the driving fluid forces.

Numerical Analysis of the Effect of Injection Pressure Variation on Free Spray and Impaction Spray Characteristics

  • Park, Kweon-Ha;Kim, Byung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.14 no.2
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    • pp.236-250
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    • 2000
  • Compression ignition direct injection diesel engines employed a high pressure injection system have been developed as a measure to improve a fuel efficiency and reduce harmful emissions. In order to understand the effects of the pressure variation, many experimental works have been done, however there are many difficulties to get data in engine condition. This work gives numerical results for the high pressure effects on spray characteristics in wide or limited space with near walls. The gas phase is modelled by Eulerian continuum conservation equations of mass, momentum, energy and fuel vapour fraction. The liquid phase is modelled using the discrete droplet model approach in Lagrangian form and the drop behavior on a wall is calculated with a new droplet-wall interaction model based on the experiments observing individual drops. The droplet distributions, vapour fractions and gas flows are shown in various injection pressure cases. In free spray case which the injection spray has no wall impaction, the spray dispersion and vapour fraction increase and drop sizes decrease with increasing injection pressure. The same phenomena appears more clearly in wall impaction cases.

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Elasto-plastic damage modelling of beams and columns with mechanical degradation

  • Erkmen, R. Emre;Gowripalan, Nadarajah;Sirivivatnanon, Vute
    • Computers and Concrete
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    • v.19 no.3
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    • pp.315-323
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    • 2017
  • Within the context of continuum mechanics, inelastic behaviours of constitutive responses are usually modelled by using phenomenological approaches. Elasto-plastic damage modelling is extensively used for concrete material in the case of progressive strength and stiffness deterioration. In this paper, a review of the main features of elasto-plastic damage modelling is presented for uniaxial stress-strain relationship. It has been reported in literature that the influence of Alkali-Silica Reaction (ASR) can lead to severe degradations in the modulus of elasticity and compression strength of the concrete material. In order to incorporate the effects of ASR related degradation, in this paper the constitutive model of concrete is based on the coupled damage-plasticity approach where degradation in concrete properties can be captured by adjusting the yield and damage criteria as well as the hardening moduli related parameters within the model. These parameters are adjusted according to results of concrete behaviour from the literature. The effect of ASR on the dynamic behaviour of a beam and a column are illustrated under moving load and cyclic load cases.

Numerical Approach for Frequency-Shifting Analysis of Electrostatic Micro-Mechanial Actuator (정전기력을 이용한 미소기전 구동기의 고유치 변화 해석에 관한 연구)

  • Lee, Wan-Sul;Kwon, Kie-Chan;Kim, Bong-Kyu;Cho, Ji-Hyon;Youn, Sung-Kie
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.854-859
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    • 2001
  • An eigenvalue analysis of a tunable micro-mechanical actuator is presented. The actuator is modeled as a continuum structure. The eigenvalue modified by the tuning voltage is computed through the linearization of the relation between the electrostatic force and the displacement at the equilibrium. A staggered algorithm is employed to perform the coupled analysis of the electrostatic and elastic fields. The stiffness matrix of the actuator is modified at this equilibrium state. The displacement field is perturbed using an eigenmode profile of the actuator. The configuration change of the actuator due to perturbation modifies the electrostatic field and thus the electrostatic force. The equivalent stiffness matrix corresponding to the perturbation and the change in the electrostatic force is then added to stiffness matrix in order to explain natural frequency shifting. The numerical examples are presented and compared with the experiments in the literatures.

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Implementation of Polycrystal Model in Rigid Plastic Finite Element Method (강소성 유한요소법에서의 다결정 모델의 구현)

  • Kang, G.P.;Lee, K.;Kim, Y.H.;Shin, K.S.
    • Transactions of Materials Processing
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    • v.26 no.5
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    • pp.286-292
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    • 2017
  • Magnesium alloy shows strong anisotropy and asymmetric behavior in tension and compression curve, especially at room temperature. These characteristics limit the application of finite element method (FEM) which is based on conventional continuum mechanics. To accurately predict the material behavior of magnesium alloy at microstructural level, a methodology of fully coupled multiscale simulation is presented and a crystal plasticity model as a constitutive equation in the simulation of metal forming process is introduced in this study. The existing constitutive equation for rigid plastic FEM is modified to accommodate deviatoric stress component and its derivatives with respect to strain rate components. Viscoplastic self-consistent (VPSC) polycrystal model was selected as a constitutive model because it was regarded as the most robust model compared to Taylor model or Sachs model. Stiffness matrix and load vector were derived based on the new approach and implemented into $DEFORM^{TM}-3D$ via a user subroutine handling stiffness matrix at an elemental level. The application to extrusion and rolling process of pure magnesium is presented in this study to assess the validity of the proposed multiscale process.

A Study on Application of Fractal Dimension in Analysis of Damage Mechanics in Rock (암반의 손상역학 해석에 있어서 Fractal차원의 적용에 관한 연구)

  • 정교철;정영기
    • The Journal of Engineering Geology
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    • v.4 no.2
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    • pp.139-151
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    • 1994
  • Rocks are composed of the discrete elements of microstructures such as different grains and microcracks. The studies of these microstructures are of increasing interest in engineering geology and civil engineering related to construction of a deep under-ground space. Accordingly, instead of a simplified continuum approach, discrete structural elements and mechanical properties of various grains must be accounted. But it is difficult to analyse crack and discontinuity surfaces in Euclidean geometry. So, Mandelbrot( 1983) developed fractal theory to manage irregular body in nature. In this study, geometrical properties of microstructures to estimate a relation between crack propagation and stress were calculated. Then it is shown that fractal theory can be applied to research real mechanical behavior of rocks.

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Ductility Demand of Precast Coupled Shear Wall (프리캐스트 병렬 전단벽의 연성도 해석)

  • 홍성걸;김영욱
    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.2
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    • pp.29-40
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    • 1999
  • This study presents a simplifled calculation method for required ductility of coupling beams in precast coupled shear walls at preliminary seismic design stages. Deflection of precast coupled shear walls based on a continuum approach is combined with inelastic gap opening of horizontal connection of panels to provide a relationship between the system-level ductility and the element-level ductility in a precast coupled shear wall. The equation proposed herein for ductility requirement for coupling beams shows that higher stiffness and lower strength of coupling beams result in high ductility reuqirement. The equation also shows that the ductility requirement is proportional to the degree of gap opening of the story in question. However, the coupling beam ductility in higher stories are not affected by gap openings of horizontal connections of panel.

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Finite Element Analysis for Plastic Large Deformation and Anisotropic Damage (소성 대변형 및 이방성 손상의 유한요소해석)

  • I.S. Nho;S.J. Yim
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.145-156
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    • 1993
  • An improved analysis model for material nonlinearity induced by elasto-plastic deformation and damage including large strain response was proposed. The elasto-plastic-damage constitutive model based on the continuum damage mechanics approach was adopted to overcome limitations of the conventional plastic theory, which can manage the anisotropic tonsorial damages evolved during time-independent plastic deformation process of materials. Updated Lagrangian finite element formulation for elasto-plastic damage coupling problem including large deformation, large rotation and large strain problems was completed to develop a numerical model which can predict all kinds of structural nonlinearities and damage rationally. Finally, a finite element analysis code for the 2-dimensional plane problem was developed and the applicability and validity of the numerical model was investigated through some numerial examples. Calculations showed reasonable results in both geometrical nonlinear problem due to large deformation and material nonlinearity including the damage effect.

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Microstructural Evolution during Hot Deformation of Molybdenum using Processing Map Approach (변형지도 모델링을 통한 몰리브데늄의 고온 변형에 따른 미세조직 변화 연구)

  • Kim, Young-Moo;Lee, Sung-Ho;Lee, Seong;Noh, Joon-Woong
    • Journal of Powder Materials
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    • v.15 no.6
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    • pp.458-465
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    • 2008
  • The hot deformation characteristics of pure molybdenum was investigated in the temperature range of $600{\sim}1200^{\circ}C$ and strain rate range of $0.01{\sim}10.0/s$ using a Gleeble test machine. The power dissipation map for hot working was developed on the basis of the Dynamic Materials Model. According to the map, dynamic recrystallization (DRX) occurs in the temperature range of $1000{\sim}1100^{\circ}C$ and the strain rate range of $0.01{\sim}10.0/s$, which are the optimum conditions for hot working of this material. The average grain size after DRX is $5{\mu}m$. The material undergoes flow instabilities at temperatures of $900{\sim}1200^{\circ}C$ and the strain rates of $0.01{\sim}10.0/s$, as calculated by the continuum instability criterion.