• Title/Summary/Keyword: deformation compatibility

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Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations

  • Bakora, Ahmed;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.56 no.1
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    • pp.85-106
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    • 2015
  • Postbuckling of thick plates made of functionally graded material (FGM) subjected to in-plane compressive, thermal and thermomechanical loads is investigated in this work. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation. Thermomechanical non-homogeneous properties are considered to be temperature independent, and graded smoothly by the distribution of power law across the thickness in the thickness in terms of the volume fractions of constituents. By employing the higher order shear deformation plate theory together the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect FGM plates are derived. The Galerkin technique is used to determine the buckling loads and postbuckling equilibrium paths for simply supported plates. Numerical examples are presented to show the influences of power law index, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates.

Study on System Compatibility Deformation Model of Rotary Tiller Under Lateral Loads

  • Hu, Hangxiang;Wang, Changbing;Sang, Zhengzhong
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1993.10a
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    • pp.277-283
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    • 1993
  • The model of rotary tillers under side loads established here is statically in determinate system. By means of FEM method, the deformation of side gearbox and right side board are calculated. Therefore the side deformations of rotary tillers under different lateral loads are discussed systematically. The results show that the rotary tiller system would bear the loads and deform unequally. Author's calculation also indicates that the lateral deforming values of right side board and side gearbox are almost the same, and more than 98% of the loads is born by the side.

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Free vibration and static analyses of metal-ceramic FG beams via high-order variational MFEM

  • Madenci, Emrah
    • Steel and Composite Structures
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    • v.39 no.5
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    • pp.493-509
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    • 2021
  • There is not enough mixed finite element method (MFEM) model developed for static and dynamic analysis of functionally graded material (FGM) beams in the literature. The main purpose of this study is to develop a reliable and efficient computational modeling using an efficient functional in MFEM for free vibration and static analysis of FGM composite beams subject to high order shear deformation effects. The modeling of material properties was performed using mixture rule and Mori-Tanaka scheme which are more realistic determination techniques. This method based on the assumption that a two phase composite material consisting of matrix reinforced by spherical particles, randomly distributed in the beam. To explain the displacement components of the shear deformation effects, it was accepted that the shear deformation effects change sinusoidal. Partial differential field equations were obtained with the help of variational methods and then these equations were transformed into a novel functional for FGM beams with the help of Gateaux differential derivative operator. Thanks to the Gateaux differential method, the compatibility of the field equations was checked, and the field equations and boundary conditions were reflected to the function. A MFEM model was developed with a total of 10 degrees of freedom to apply the obtained functional. In the numerical applications section, free vibration and flexure problems solutions of FGM composite beams were compared with those predicted by other theories to show the effects of shear deformation, thickness changing and boundary conditions.

Formation of submicrocrystalline in Ti-13Nb-13Zr alloy without severe deformation and enhanced mechanical compatibility (Ti-13Nb-13Zr 합금의 저 변형량에서 초미세 결정립 형성 및 기계적 적합성 향상)

  • Park, C.H.;Yeom, J.T.;Chun, Y.S.;Lee, C.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.328-331
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    • 2009
  • Microstructural evolution of alpha and beta phases during dynamic globularization of near-beta Ti-13Nb-13Zr alloy was investigated to determine the optimum processing conditions. The submicrocrystalline alloy sheet with ${\sim}80%$ of high-angle grain boundaries was produced utilizing dynamic globularization at temperature of $600^{\circ}C$, equivalent strain rate of $10^{-1}\;s^{-1}$ and strain of 1.4. The refined structure with the gain size of ${\sim}0.4{\mu}m$ showed 25-60% enhanced mechanical compatibility as compared to those of the conventional mill-annealed or solution treated and aged microstructures.

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Redistribution of Internal Shear Forces in a Reinforced Concrete Beams (철근콘크리트 보의 전단력 재분배)

  • Rhee, Chang-Shin;Shin, Geun-Ok;Kim, Dae-Joong;Kim, Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05a
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    • pp.362-365
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    • 2006
  • This paper presents a model for evaluating the contribution by arch action to shear resistance in shear-critical RC beams. Based on the relationship between shear and bending moment in beams subjected to combined shear and bending, The behavior of a beam is explicitly divided into two base components of the flexural action and the tied arch action. The compatibility condition of the shear deformation that deviates from Bernoulli bending plane is formulated utilizing the smeared truss idealization with an inclined compression chord. From this shear compatibility condition in a beam, the shear contribution by the arch action is numerically decoupled.

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Time-dependent bond transfer length under pure tension in one way slabs

  • Vakhshouri, Behnam
    • Structural Engineering and Mechanics
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    • v.60 no.2
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    • pp.301-312
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    • 2016
  • In a concrete member under pure tension, the stress in concrete is uniformly distributed over the whole concrete section. It is supposed that a local bond failure occurs at each crack, and there is a relative slip between steel and surrounding concrete. The compatibility of deformation between the concrete and reinforcement is thus not maintained. The bond transfer length is a length of reinforcement adjacent to the crack where the compatibility of strain between the steel and concrete is not maintained because of partially bond breakdown and slip. It is an empirical measure of the bond characteristics of the reinforcement, incorporating bar diameter and surface characteristics such as texture. Based on results from a series of previously conducted long-term tests on eight restrained reinforced concrete slab specimens and material properties including creep and shrinkage of two concrete batches, the ratio of final bond transfer length after all shrinkage cracking, to THE initial bond transfer length is presented.

Analysis of Coupled Horizontal-Torsional Vibrations of Container Ships (콘테이너선의 수평-비틂연성진동 해석)

  • K.C.,Kim;S.J.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.4
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    • pp.1-10
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    • 1986
  • A container ship, due to wide hatch openings, has characteristics of poor torsional rigidity, strong coupling of horizontal-torsional modes and significant discontinuity in the longitudinal variation of hull sections. In the mathematical formulation of the problem the hull is modeled as a beam and the transfer matrix method is utilized. The cross decks between cargo hatch opening are separated from the main hull and regarded as equivalent springs restraining torsion of hull. The effect of shear deformation of ship-side plating on torsion is taken into account in addition to St. Venant's and bending torsional rigidities. Compatibility requirements at cross section discontinuity are approximately considered. Developing the practical calculation procedure and the computer programs for application to an actual ship, some parametric studies on modeling methods of the cross deck, the compatibility condition, added-mass center etc. are out for the purpose of comparison.

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Strength enhancement in confined concrete with consideration of flexural flexibilities of ties

  • Teerawong, J.;Lukkunaprasit, P.;Senjuntichai, T.
    • Structural Engineering and Mechanics
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    • v.18 no.2
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    • pp.151-166
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    • 2004
  • The interaction between concrete core expansion and deformation of perimeter ties has been known to have a significant effect on the effective confinement of rectangular reinforced concrete (RC) tied columns. This interaction produces passive confining pressure to the concrete core. Most existing models for determining the response of RC tied columns do not directly account for the influence of flexural stiffness of the ties and the variation of confining stress along the column height. This study presents a procedure for determining the confined compressive strength of RC square columns confined by rectilinear ties with various tie configurations considering directly the influence of flexural flexibility of the ties and the variation of confining stress along the vertical direction. The concept of area compatibility is employed to ensure compatibility of the concrete core and steel hoop in a global sense. The proposed procedure yields satisfactory predictions of confined strengths compared with experimental results, and the influence of tie flexibility, tie configuration and degree of confinement can be well captured.

A Perfomance Evaluation of the Deformation-Compatible Vertical Drain (DCVD 배수재의 성능평가)

  • Song, Seok-Kyu;Chun, Youn-Chul;Shim, Jai-Beom;Shim, Seong-Hyeon;Kim, Young-Uk;Lee, Seok-Won
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.692-701
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    • 2009
  • The use of vertical drain method to improve the soft soil ground has been continuously increased in Korea such as Busan New Port, Saemangeum reclamation project and so on in Korea. Especially PBD(Plastic Board Drain), one of the vertical drain, has been widely used due to the economic feasibility, construction compatibility and quality control. However in case of using PBD, discharge capacity reduction caused by creep deformation of the PBD filter, bending, kinking and so on can be occurred. Therefore the purpose of this study is to solve these problems by developing Deformation-Compatible Vertical Drain, DCVD which allows to deform with consolidation settlement without bending and kinking of vertical drain. In order to investigate the performance of DCVD developed in this study, discharge capacity test, centrifuge model test and complex discharge capacity test for both PBD and DCVD are performed and the results are compared.

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Predictoin of Longitudinal Steel Tension for Shear-Critical Reinforced Concrete Beams with Stirrups (전단이 지배하는 철근콘크리트 보의 주철근 인장력 산정)

  • Rhee, Chang-Shin;Byun, Su-Min;Shin, Geun-Ok;Kim, Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05a
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    • pp.374-377
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    • 2006
  • The measured longitudinal reinforcement tensions in the shear-critical RC beams were significantly higher than the calculated values by the beam theory. This may be attributed to the reduction of the internal-moment arm length by the development of the arch action. In this paper, the measured longitudinal reinforcement tensions in the test performed by Kim were compared with those predicted by the new truss model on the basis of the compatibility condition of the shear deformation.

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