• Title/Summary/Keyword: volume strain

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Aseismic analysis for large underground structure (대형 지하구조물의 내진해석)

  • Choi, Seung-Ho;Pam, Inn-Joon;Kim, Sang-Hwan
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.11 no.2
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    • pp.163-174
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    • 2009
  • The large underground structure under earthquake is affected more by soil dynamic characteristic and volume of structure than by structural dynamic characteristic itself. Therefore, it is the purpose of research that the aseismic analysis for caverns including various aseismic analysis factors (rock quality-Q value, soil dynamic characteristic, shape ratio $&$ volume, underground structural dynamic characteristic, and aseismic level) are applied by using the numerical analysis program (SAUS; seismic analysis of underground structures). The result of research is stated that maximum strain, maximum moment, and maximum shear are not sensitive with respect to shape ratio. However those values are sensitive with respect to Q value, volume of underground structure and aseismic level. Based on the results of this research, the assessment for the influence factors of aseismic analysis for large underground structure could be possible.

Static analysis of nonlinear FG-CNT reinforced nano-composite beam resting on Winkler/Pasternak foundation

  • Mostefa Sekkak;Rachid Zerrouki;Mohamed Zidour;Abdelouahed Tounsi;Mohamed Bourada;Mahmoud M Selim;Hosam A. Saad
    • Advances in nano research
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    • v.16 no.5
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    • pp.509-519
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    • 2024
  • In this study, the static analysis of carbon nanotube-reinforced composites (CNTRC) beams resting on a Winkler-Pasternak elastic foundation is presented. The developed theories account for higher-order variation of transverse shear strain through the depth of the beam and satisfy the stress-free boundary conditions on the top and bottom surfaces of the beam. To study the effect of carbon nanotubes distribution in functionally graded (FG-CNT), we introduce in the equation of CNT volume fraction a new exponent equation. The SWCNTs are assumed to be aligned and distributed in the polymeric matrix with different patterns of reinforcement. The rule of mixture is used to describe the material properties of the CNTRC beams. The governing equations were derived by employing Hamilton's principle. The models presented in this work are numerically provided to verify the accuracy of the present theory. The analytical solutions are presented, and the obtained results are compared with the existing solutions to verify the validity of the developed theories. Many parameters are investigated, such as the Pasternak shear modulus parameter, the Winkler modulus parameter, the volume fraction, and the order of the exponent in the volume fraction equation. New results obtained from bending and stresses are presented and discussed in detail. From the obtained results, it became clear the influence of the exponential CNTs distribution and Winkler-Pasternak model improved the mechanical properties of the CNTRC beams.

Analysis of Damaged Material Response Using Unified Viscoplastic Constitutive Equations (통합형 점소성구성식을 이용한 손상재료거동해석)

  • Ha Sang Yul;Kim Ki Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.2 s.233
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    • pp.253-261
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    • 2005
  • In decades, a substantial body of work on a unified viscoplastic model which considers the mechanism of plastic deformation and creep deformation has developed. The systematic scheme for numerical analysis of unified model is necessary because the dominant failure mechanism is the defect growth and coalescence in materials. In the present study, the unified viscoplastic model for materials with defects suggested by Suquet and Michel was employed for numerical analysis. The constitutive equations are integrated based on the generalized mid-point rule and implemented into a finite element program (ABAQUS) by means of user-defined subroutine (UMAT). To evaluate the validity of the developed UMAT code and the assessment of the adopted viscoplastic model, the results obtained from the UMAT code was compared with the numerical reference solution and experimental data. The unit cell analysis also has been investigated to study the effect of strain rate, temperature, stress triaxiality and initial defect volume fraction on the growth and coalescence of the defect.

Lightweight Design of Shell Structures Using Adaptive Inner-Front Level Set Based Topology Optimization (AIFLS-TOP) (적응적 내부 경계 레벨셋 기반 위상최적화를 이용한 쉘 구조물의 경량화 설계)

  • Park, Kang-Soo;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.12
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    • pp.1180-1187
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    • 2007
  • In the present work, topology optimization method using adaptive inner-front level set method is presented. In the conventional level set based topology optimization method, there exists an incapability for inner-front creation during optimization process. In this regard, as a new attempt to avoid and to overcome the limitation, an inner-front creation algorithm is proposed. In the inner-front creation algorithm, the strain energy density of a structure along with volume constraint is considered. Especially, to facilitate the inner-front creation process during the optimization process, the inner-front creation map which corresponds to the discrete valued function of strain energy density is constructed. In the evolution of the level set function during the optimization process, the least-squares finite element method (LSFEM) is employed. As an application to shell structures, the lightweight design of doubly curved shell and segmented mirror is carried out.

1Analysis of Outsole in Golf shoes by using Finite Element Method (유한요소법을 이용한 공기 순환 방식의 골프화 설계에 관한 연구)

  • Song, W.J.;Kim, Y.U.;Moon, B.Y.;Kang, B.S.
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.224-228
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    • 2001
  • This paper presents the analyzing method of golf shoes and shows design technique including air-cycled pump in the midsole. The golf shoes are analyzed by using the finite element method for the optimization in design by considering the configuration of midsole and outsole, which compose the golf shoes. Also the optimum size of air-cycled pump in the midsole is examined. Standard human pressure values for boundary conditions are adoped for the finite element analysis. The unknown constants of the strain energy function of Ogden type are observed in accordance with the axial tension test. By using the commercial FEM software for nonlinear analysis, MARC V7.3, the strains and the values of volume change for midsole and outsole are obtained, respectively. As a result, it can be concluded that these values in the midsole and the outsole are different depending on the characteristic of elastomer. More precise investigation about the assembly of two parts, which represent midsole and outsole, is under studying.

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Computation of a Low Strain Rate Counterflow Flame in Normal and Zero Gravity (정상중력 및 무중력에서의 저변형율 대향류화염의 전산)

  • Woe-Chul Park
    • Journal of the Korean Society of Safety
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    • v.17 no.3
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    • pp.107-111
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    • 2002
  • A near extinction nonpremixed counterflow flame of 19% methane diluted by 81% nitrogen by volume and undiluted air at a low global strain rate, 20 s-1, was computed. Investigations were focused on effects of the duct thickness and velocity boundary conditions on the flame structure in normal and zero gravity conditions. The results showed that, under normal gravity conditions, the effects of the duct thickness and velocity boundary conditions were significant by shifting the flame position, but negligible in zero gravity. The differences in flame structure were caused by buoyancy, and hence should be considered in the measurements in normal gravity.

Non-linear free and forced vibration analysis of sandwich nano-beam with FG-CNTRC face-sheets based on nonlocal strain gradient theory

  • Arani, Ali Ghorbanpour;Pourjamshidian, Mahmoud;Arefi, Mohammad
    • Smart Structures and Systems
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    • v.22 no.1
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    • pp.105-120
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    • 2018
  • In this paper, the nonlinear free and forced vibration responses of sandwich nano-beams with three various functionally graded (FG) patterns of reinforced carbon nanotubes (CNTs) face-sheets are investigated. The sandwich nano-beam is resting on nonlinear Visco-elastic foundation and is subjected to thermal and electrical loads. The nonlinear governing equations of motion are derived for an Euler-Bernoulli beam based on Hamilton principle and von Karman nonlinear relation. To analyze nonlinear vibration, Galerkin's decomposition technique is employed to convert the governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE). Furthermore, the Multiple Times Scale (MTS) method is employed to find approximate solution for the nonlinear time, frequency and forced responses of the sandwich nano-beam. Comparison between results of this paper and previous published paper shows that our numerical results are in good agreement with literature. In addition, the nonlinear frequency, force response and nonlinear damping time response is carefully studied. The influences of important parameters such as nonlocal parameter, volume fraction of the CNTs, different patterns of CNTs, length scale parameter, Visco-Pasternak foundation parameter, applied voltage, longitudinal magnetic field and temperature change are investigated on the various responses. One can conclude that frequency of FG-AV pattern is greater than other used patterns.

Dynamic analysis of concrete beams reinforced with Tio2 nano particles under earthquake load

  • Sharifi, Morteza;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Wind and Structures
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    • v.26 no.1
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    • pp.1-9
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    • 2018
  • This research studies the dynamic analysis of a concrete column reinforced with titanium dioxide ($TiO_2$) nanoparticles under earthquake load. The effect of nanoparticles accumulation in a region of concrete column is examined using Mori-Tanaka model. The structure is simulated mathematically based on the theory of sinusoidal shear deformation theory (SSDT). By calculating strain-displacement and stress-strain relations, the system energies include potential energy, kinetic energy, and external works are derived. Then, using the Hamilton's principle, the governing equations for the structure are extracted. Using these equations, the response of the concrete column under earthquake load is investigated using the numerical methods of differential quadrature (DQ) and Newark. The purpose of this study is to study the effects of percentage of nanoparticles, nanoparticles agglomeration, geometric parameters and boundary conditions on the dynamic response of the structure. The results indicate that by increasing the volume percent of $TiO_2$ nanoparticles, the maximum dynamic deflection of the structure decreases.

Behaviour of Nak-dong River Sand on Cyclic Stress History (낙동강 모래의 반복응력이력에 의한 거동)

  • 김영수;박명렬;김병탁;이상복
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.295-302
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    • 2000
  • Earthquakes not only produce additional load on the structures and underlying soil, but also change the strength characteristics of the soil. Therefore, in order to analyze soil structures for stability, the behaviour after earthquake must be considered. In this paper, a series of cyclic triaxial tests and monotonic triaxial tests were carried out to investigate the undrained shear strength and liquefaction strength characteristics of Nak-Dong River sand soils which were subjected to cyclic loading. The sample was consolidated in the first stage and then subjected to stress controlled cyclic loading with 0.1Hz. After the cyclic loading, the cyclic-induced excess pore water pressure was dissipated by opening the drainage valve and the sample was reconsolidated to the initial effective mean principal stress(p/sub c/'). After reconsolidation, the monotonic loading or cyclic loading were applied to the specimen. In the results, the undrained shear strength and liquefaction strength characteristics depended on the pore pressure ratio(Ur=U/p/sub c/'). The volume change following reconsolidation can be a function of cyclic-induced excess pore water pressure and the maximum double amplitude of axial strain.

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Prediction of Thermoelastic Constants of Unidirectional Porous Composites Using an Unmixing-Mixing Scheme (분리-혼합 기법을 이용한 일방향 다공성 복합재료의 열탄성 계수 예측)

  • Shin, Eui-Sup
    • Composites Research
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    • v.25 no.2
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    • pp.34-39
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    • 2012
  • A thermo-poro-elastic constitutive model of unidirectionally fiber-reinforced composite materials is suggested by extending the unmixing-mixing scheme which is based upon composite micromechanics. The strain components of thermal expansion due to a temperature change, gas pressure in pores, and chemical shrinkage are included in the constitutive model. On purpose to verify the derived constitutive relations, the representative volume element of two-dimensional lamina subject to various loading conditions is analyzed by the finite element method. The overall stress and strain responses are obtained, and compared with the predicted values by the unmixing-mixing scheme. The numerical results show the usefulness of the proposed model to predict the thermoelastic behavior of porous composites.