• Title/Summary/Keyword: 2D deformation

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Behavior of Soil-reinforced Retaining Walls in Tiered Arrangement (계단식 보강토 옹벽의 거동 특성)

  • Yoo, Choong-Sik;Kim, Joo-Suk
    • Journal of the Korean Geotechnical Society
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    • v.18 no.3
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    • pp.61-72
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    • 2002
  • This paper presents the results of investigation on the behavior of soil-reinforced segmental retaining walls in tiered arrangement using the finite element method of analysis. 2D finite element analyses were performed on tiered walls with two levels of offset distance. Cases with equivalent surcharge as suggested by the NCMA design guideline were additionally analyzed in an attempt to confirm the appropriateness of the equivalent surcharge model adopted by NCMA. Deformation characteristics of a tiered wall with small offset distance suggest a compound mode of failure and support current design approaches requiring a global slope stability analysis for design. Also revealed is that the interaction between the upper and lower walls significantly affects not only the performance of the lower wall but also the upper wall, suggesting that the upper walls should also be designed with due consideration of the interaction.

Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material

  • Kocaturk, T.;Akbas, S.D.
    • Structural Engineering and Mechanics
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    • v.35 no.6
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    • pp.677-697
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    • 2010
  • This paper focuses on geometrically non-linear static analysis of a simply supported beam made of hyperelastic material subjected to a non-follower transversal uniformly distributed load. As it is known, the line of action of follower forces is affected by the deformation of the elastic system on which they act and therefore such forces are non-conservative. The material of the beam is assumed as isotropic and hyperelastic. Two types of simply supported beams are considered which have the following boundary conditions: 1) There is a pin at left end and a roller at right end of the beam (pinned-rolled beam). 2) Both ends of the beam are supported by pins (pinned-pinned beam). In this study, finite element model of the beam is constructed by using total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element. The considered highly non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. In order to use the solution procedures of Newton-Raphson type, there is need to linearized equilibrium equations, which can be achieved through the linearization of the principle of virtual work in its continuum form. In the study, the effect of the large deflections and rotations on the displacements and the normal stress and the shear stress distributions through the thickness of the beam is investigated in detail. It is known that in the failure analysis, the most important quantities are the principal normal stresses and the maximum shear stress. Therefore these stresses are investigated in detail. The convergence studies are performed for various numbers of finite elements. The effects of the geometric non-linearity and pinned-pinned and pinned-rolled support conditions on the displacements and on the stresses are investigated. By using a twelve-node quadratic element, the free boundary conditions are satisfied and very good stress diagrams are obtained. Also, some of the results of the total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element are compared with the results of SAP2000 packet program. Numerical results show that geometrical nonlinearity plays very important role in the static responses of the beam.

Ultimate Behavior of High-Tension Bolted Joints Considering Plate Thickness and Bolt Size (판 두께와 볼트 크기를 고려한 고장력 볼트 이음부의 극한 거동)

  • Kim, Sung-Bo;Choi, Jong-Kyoung;Heo, In-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.5
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    • pp.515-524
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    • 2008
  • The ultimate behavior of high-tension bolted joints with various plate thickness and bolt size is investigated using nonlinear F.E. analysis and experimental study. The relation with sliding load, bolt deformation, and failure modes are presented based on plate thickness and bolt size. Three kinds of the bolt diameter(M20, M22, M24) and five types of the steel plates (l2mm, 16mm, 20mm, 30mm, 40mm) are considered for the ultimate behavior of the bolted joints. The numerical model, constructed by commercial F.E. program, ABAQUS, of ultimate behavior of bolted joints is introduced and verified by experimental results. The force-displacement and force-axial strain relations are measured and compared with the results by 3D finite element analysis.

Magneto-electro-elastic vibration analysis of modified couple stress-based three-layered micro rectangular plates exposed to multi-physical fields considering the flexoelectricity effects

  • Khorasani, Mohammad;Eyvazian, Arameh;Karbon, Mohammed;Tounsi, Abdelouahed;Lampani, Luca;Sebaey, Tamer A.
    • Smart Structures and Systems
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    • v.26 no.3
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    • pp.331-343
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    • 2020
  • In this paper, based on the CPT, motion equations for a sandwich plate containing a core and two integrated face-sheets have derived. The structure rests on the Visco-Pasternak foundation, which includes normal and shear modules. The piezo-magnetic core is made of CoFe2O4 and also is subjected to 3D magnetic potential. Two face sheets at top and bottom of the core are under electrical fields. Also, in order to obtain more accuracy, the effect of flexoelectricity has took into account at face sheets' relations in this work. Flexoelectricity is a property of all insulators whereby they polarize when subject to an inhomogeneous deformation. This property plays a crucial role in small-scale rather than macro scale. Employing CPT, Hamilton's principle, flexoelectricity considerations, the governing equations are derived and then solved analytically. By present work a detailed numerical study is obtained based on Piezoelectricity, Flexoelectricity and modified couple stress theories to indicate the significant effect of length scale parameter, shear correction factor, aspect and thickness ratios and boundary conditions on natural frequency of sandwich plates. Also, the figures show that there is an excellent agreement between present study and previous researches. These finding can be used for automotive industries, aircrafts, marine vessels and building industries.

Numerical Study on the Effects of Geosynthetic Reinforcement on the Pile-supported Embankment (수치해석을 통한 성토지지말뚝에 대한 토목섬유 보강 효과 분석)

  • Lee, Su-Hyung
    • Journal of the Korean Society for Railway
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    • v.12 no.2
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    • pp.276-284
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    • 2009
  • Recently pile-supported embankments have emerged as an optimum method when the rapid construction and strict deformation of structures are required on soft soils. Especially geosynthetic-reinforced and pile-supported (GRPS) embankments are used worldwide as they can provide economic and effective solutions. However the load transfer mechanism in GRPS embankments is very complex, and not yet fully understood. Particularly the purpose and effect of geosynthetic inclusion are ambiguous and considered as an auxiliary measure assisting the arching effect of piles. Numerical parametric study using 3D finite element method has been conducted to investigate the effect of geosynthetic reinforcement on the load transfer mechanism of GRPS embankments. Numerical results suggested that as more stiffer geosynthetic is included, arching effect decreases considerably and the load concentration to the piles mostly caused by tension effect of geosynthetic. This finding is contradictory to the common understanding that geosynthetic inclusion only enhance the efficiency of load transfer. Consequently the design parameters determined from the numerical analyses are compared with those of three existing design methods. The problems of the existing methods are discussed.

The friction effects at high strain rates of materials under dynamic compression loads (동압축 하중을 받는 재료의 고변형도율에서의 마찰영향)

  • 김문생
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.454-464
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    • 1987
  • The objective of this research is to analyze and evaluate the dynamic flow curve of metals under impact loading at both high strain rate (.epsilon.=1/h dh/dt > 10$\^$3/m/s/m) and large strain (.epsilon.=In h/h$\_$0/ > 1.0). A test method for dynamic compression of metal disc is described. The velocity of the striker face and the force on the anvil are measured during the impact period. From these primitive data the axial stress, strain, and strain rate of the disc are obtained. The Strain rate is determined by the striker velocity divided by the specimen height. This gives a slightly increasing strain rate over most of the deformation period. Strain rates of 100 to 10,000 per second are achieved. Attainable final strains are 150%. A discussion of several problem areas is presented. The friction on the specimen surfaces, the determination of the frictional coefficient, the influence of the specimen geometry (h$\_$0//d$\_$0/ ratio) on the friction effect, the lock-up condition for a given configuration, the friction correction factor, and the evaluation of several lubricants are given. The flow function(stress verus strain) is dependent on the material condition(e.g., prior cold work), specimen geometry, strain rate, and temperature.

Development of Localized Roots Type Medium-Vacuum Pump (루츠형 중진공펌프 국산화 개발)

  • Tak, Bong-Yeol;Kim, Byung-Duk;Yang, Hea-Gyeong;Han, Gi-Young;Lee, So-A
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.3
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    • pp.23-27
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    • 2011
  • Due to a roots type medium vacuum pump is operated in condition of $1{\sim}10^{-3}$ torr vacuum, it could be applied for production and process of industrial parts, such as precise processing, vaporization, enrichment, separation, casting, metaling, welding, transportation. Therefore, the demand of this pump is increasing nowadays in our industrial markets of semiconductor, electric, electronic, automobile, material, environmental and transporting industries. However, the pumps are almost imported, because the domestic pumps are inferior in fields of vacuum range as under $10^{-1}$torr, relevant techniques(design, fabrication, casting, test, etc.) to the imported ones. In this study, essential parts of the development pump are designed with using of CFD and 3D decodes, FEM for analysing strength and deformation, generated heat, vibration and noise control, and are casted with using of mechanochemistry techniques for decreasing of weights, increasing of heat resistances and abrasion durability of materials for pump caing and impellers especially. Besides, in order to achieve ultimate vacuum around $10^{-3}$torr, this pump is composed of 6 stages, among which 1st stage is operated separately from remained stages. Additionally, a test rig for prototype pumps(300$m^3/h$ and 2,500$m^3/h$) is designed and procured as to apply for multi-staged rootz type vacuum pump, with modification of the test method recommended by KS B 6314 "Positive-displacement oil-sealed rotary vacuum pumps".

Evaluation of Internal Bracing Member Forces due to Distortional Behaviors of Tub Section Steel Box Girders (U형 강박스 거더의 뒤틀림 거동에 의한 내부 수직브레이싱 부재력 평가)

  • Kim, Kyung-Sik
    • Journal of Korean Society of Steel Construction
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    • v.23 no.2
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    • pp.249-259
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    • 2011
  • In this study, the distortional behaviors of tub-section steel girders subjected to torsional loading were analyzed, and predictor equations were developed for estimating the member forces induced in the internal bracing system installed in the steel tub girders. Torsional loadings originated either by eccentric vertical loading or girder curvature were decomposed into the pure torsional force component that does not affect the distortional box deformation, and into the distortional force component that directly induces box distortion. The axial member forces induced in the internal cross frames were formulated as a function of the magnitude of torsional loading through the analytical investigation of the interactions between the distortional force component and internal cross frames. To verify the proposed equations, three-dimensional finite element analysis (3D FEA) was conducted for the straight simple-span girder and the three-span continuous girder samples. Very good agreement was found between the member forces from the FEA and the proposed equations.

Effects of Pilocarpine and Kainic Acid on EEG and Behavior Activity in Freely Behaving Rats

  • Choi, Byung-Ju;Cho, Jin-Hwa;Lee, Maangee-G.
    • Biomolecules & Therapeutics
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    • v.4 no.2
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    • pp.167-173
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    • 1996
  • This study was undertaken to evaluate a behavior-electroencephalogram (EEG) pattern relationship in pilocarpine- and kainic acid-induced convulsions of rats. Also we intended to examine the effect of a noncompetitive N-methyl-D-aspartate (NMDA) receptor antagonist, MK-801, and diazepam on the pilocarpine-induced behavioral and electrical seizures in rats. The electrical activities at frontal and hippocampal areas and behavior activities were measured in freely moving rats. At the beginning of the experiments, the rats displayed an exploratory behavior. This awake and moving phase with a low amplitude, irregular, 4-10 Hz wave was followed by a still phase. Pilocarpine (400 mg/kg, i.p.) and kainic acid (0.5 mg/kg, i.c.v.) induced tonic and clonic seizures. The pilocarpine-induced change in electrical activities exhibited a weak correlation with behavioral convulsion at all stages. The amplitude and duration of the electrical response were not linear with the degree of behavioral score. An application of MK-801 (dizocilpine, 7.5 mg/kg) did not affect the amplitudes of the convulsant-induced electrical activities, though the same dose of this drug caused the deformation of the electrical pattern. There was no effect of MK-801 on the behavioral and electrical activities as expected. Diazepam (1 mg/kg) did not affect the amplitude of the electrical activities induced by pilocarpine but changed the pattern of these activities. Our study shows that there is no linear relationship between degree of behavior and amplitude of electrical activities of convulsants. This may indicate that the NMDA receptor stimulation can be processed by the neocortical or hippocampal network in a different way between behavioral and electrical activities.

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Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation

  • Guenaneche, B.;Benyoucef, S.;Tounsi, A.;Adda Bedia, E.A.
    • Advances in concrete construction
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    • v.7 no.3
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    • pp.151-166
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    • 2019
  • This paper introduces a new efficient analytical method, based on shear deformations obtained with 2D elasticity theory approach, to perform an explicit closed-form solution for calculation the interfacial shear and normal stresses in plated RC beam. The materials of plate, necessary for the reinforcement of the beam, are in general made with fiber reinforced polymers (Carbon or Glass) or steel. The experimental tests showed that at the ends of the plate, high shear and normal stresses are developed, consequently a debonding phenomenon at this position produce a sudden failure of the soffit plate. The interfacial stresses play a significant role in understanding this premature debonding failure of such repaired structures. In order to efficiently model the calculation of the interfacial stresses we have integrated the effect of shear deformations using the equilibrium equations of the elasticity. The approach of this method includes stress-strain and strain-displacement relationships for the adhesive and adherends. The use of the stresses continuity conditions at interfaces between the adhesive and adherents, results pair of second-order and fourth-order coupled ordinary differential equations. The analytical solution for this coupled differential equations give new explicit closed-form solution including shear deformations effects. This new solution is indented for applications of all plated beam. Finally, numerical results obtained with this method are in agreement of the existing solutions and the experimental results.