• Title/Summary/Keyword: pure bending

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Finite Element Analysis of the Piezoelectric Behavior of ZnO Nanowires (산화아연 나노와이어의 압전거동에 대한 분석)

  • Lee, Woong
    • Korean Journal of Materials Research
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    • v.28 no.11
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    • pp.671-679
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    • 2018
  • Finite element analyses are carried out to understand the piezoelectric behaviors of ZnO nanowires. Three different types of ZnO nanowires, with aspect ratios of 1:2. 1:31, and 1:57, are analyzed for uniaxial compression, pure bending, and buckling. Under the uniaxial compression with a strain of $1.0{\times}10^{-4}$ as the reference state, it is predicted that all three types of nanowires develop the same magnitude of the piezoelectric fields, which suggests that longer nanowires exhibit higher piezoelectric potential. However, this prediction is not in agreement with the experimental results previously reported in the literature. Such discrepancy is understood when the piezoelectric behaviors under bending and buckling are considered. When only the strain field due to bending is present in bending or buckling, the antisymmetric nature of the through-thickness stain distribution indicates that two piezoelectric fields, the same in magnitude and opposite in sign, develop along the thickness direction, which cancels each other out, resulting in a zero net piezoelectric field. Once additional strain contribution due to axial deformation is superposed on the bending, such field cancelling is compensated for due to the axial component of the piezoelectric field. Such numerical predictions seem to explain the reported experimental results while providing a guideline for the design of nanowire-based piezoelectric devices.

New Deformation Mechanism in the Forming of Cones by Shear Spinning (전단 스피닝에 의한 원추형상의 성형에 관한 변형 메커니즘)

  • Kim J. H.;Kim Chul
    • Transactions of Materials Processing
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    • v.14 no.4 s.76
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    • pp.375-383
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    • 2005
  • The shear spinning process, where the plastic deformation zone is localized in a very small portion of the workpiece, shows a promise for increasingly broader application to the production of axially symmetric parts. In this paper, the three components of the working force are calculated by a newly proposed deformation model in which the spinning process is understood as shearing deformation after uniaxial yielding by bending, and shear stress, $\tau_{rz}$, becomes k, yield limit in pure shear, in the deformation zone. The tangential force are first calculated and the feed force and the normal force are obtained by the assumption of uniform distribution of roller pressure on the contact surface. The optimum contact area is obtained by minimizing the bending energy required to get the assumed deformation of the blank. The calculated forces are compared with experimental results. A comparison shows that theoretical prediction is reasonably in good agreement with experimental results

A Study on the Bending Buckling Behavior of Circular Cylindrical Shells (원통형 쉘의 휨 좌굴 거동에 대한 연구)

  • 정진환;김성도;하지명
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.208-215
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    • 1998
  • A stability problems of isotropic shells under pure bending is investigated based on the classical shells theory. The governing equations of stability problem presented by Donnell and Love, are developed and the solutions for the cylindrical shells are obtained by using Galerkin method. Bending moment is applied at the ends of the cylindrical shell as a from of distributed load in the shape of sine curve. For the isotropic materials, the result of the general purpose structural analysis program based on the finite element method are compared with the critical moment obtained from the classical shell theories. The critical loads for the cylindrical shells with various geometry can not be evaluated with a simple equation. However, accurate solutions for the stability problems of cylindrical shells can be obtained through the equilibrium equation developed in the study.

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Plane strain bending of a bimetallic sheet at large strains

  • Alexandrov, Sergei E.;Kien, Nguyen D.;Manh, Dinh V.;Grechnikov, Fedor V.
    • Structural Engineering and Mechanics
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    • v.58 no.4
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    • pp.641-659
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    • 2016
  • This paper deals with the pure bending of incompressible elastic perfectly plastic two-layer sheets under plane strain conditions at large strains. Each layer is classified by its yield stress, shear modulus of elasticity and its initial percentage thickness in relation to the whole sheet. The solution found is semi-analytic. In particular, a numerical technique is only necessary to solve transcendental equations. The general solution is cumbersome because different analytic expressions for the radial and circumferential stresses should be adopted in different regions of the whole sheet. In particular, there are several alternative ways a plastic region (or plastic regions) can propagate. However, for any given set of material and process parameters the solution to the problem consists of a sequence of rather simple analytic expressions connected by transcendental equations. The general solution is illustrated by a simple example.

A Study on the Mechanics of Shear Spinning of Cones

  • Kim Jae-Hun;Park Jun-Hong;Kim Chul
    • Journal of Mechanical Science and Technology
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    • v.20 no.6
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    • pp.806-818
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    • 2006
  • The shear spinning process, where the plastic deformation zone is localized in a very small portion of the workpiece, shows a promise for increasingly broader application to the production of axially symmetric parts. In this paper, the three components of working force are calculated by the newly proposed deformation model in which the spinning process is understood as shearing deformation after uniaxial yielding by bending, and shear stress, $\tau_{rz}$ becomes $\kappa$, yield limit in pure shear, in the deformation zone. The tangential forces are first calculated and the feed forces and the normal forces are obtained by the assumption of uniform distribution of roller pressure on the contact surface. The optimum contact area is obtained by minimizing the bending energy required to get the assumed deformation of the blank. The calculated forces are compared with experimental results. A comparison shows that theoretical prediction is reasonably in good agreement with experimental results.

Comparison of Physical Properties on the Worsted Fabrics Woven with Rapier and Air Jet Looms(I) - Characteristics of tensile & bending properties - (Air Jet와 Rapier 직기 특성이 모직물의 역학적 특성에 미치는 영향( II) - 인장특성, 굽힘특성에 관하여 -)

  • 박수현;김승진;홍성철
    • Textile Coloration and Finishing
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    • v.12 no.6
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    • pp.337-343
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    • 2000
  • In this study, the five harness satins are weaved in rapier loom and air-jet loom each using the pure wool Nm 2/72, also the physical characteristics of fabrics that are produced in these weaving machinery in same condition are measured by using the KES-FB system. The results of analysis and comparison on each fabric are presented by classifying items, that is to say, the tensile, bending properties. The results we as follows ; The extensibility of grey fabric woven by rapier in the weft direction is larger than that by air-jet loom. The variation of bending property of grey fabric woven by rapier in the weft direction is more irregular than that by air-jet loom. However, these properties are similar both rapier and air jet fabrics.

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Influence Line of Three- span Continuous Curved Box-Girder Bridge using Elastic Equation (탄성방정식을 이용한 3경간 연속곡선교의 영향선에 관한 연구)

  • 장병순;장준환;김수정
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.4
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    • pp.423-434
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    • 2001
  • In this paper, a three-span continuous box girder is analysed by using elastic equation based on energy method, concerning the behaviour with the effects of bending and pure torsional moment. The statically indeterminate forces of a three-span continuous curved box girder are calculated by applying the principle of least work to this elastic equation. The influence line of shear force, bending moment, pure torsion, displacement and angle of rotation due to unit vortical load and unit torque for curved box girder are obtained. The internal forces of the curved box girder which the actual load is applied can be calculated using the influence line obtained from this study.

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A Photoelastic Study on Change of Stress Concentration Factor Due to Unsymmetrical Change of Notch Angle (Pure Bending Moment 하(下)에 있는 Notched Strip에서의 Notch Angle의 비대칭적(非對稱的) 변화(變化)에 의(依)한 응력집중계수(應力集中係數)의 변화(變化))

  • Jang-Chule,Mun
    • Bulletin of the Society of Naval Architects of Korea
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    • v.4 no.1
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    • pp.55-58
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    • 1967
  • It is investigated that in what shape the stress concentration factor of a notched strip under pure bending changes due to unsymmetrically varying notch angle. Four models made of CR-39, having parameters of r/d-0.225, h/r=4; r/d=0.225, h/r=2; r/d=0.4, h/r=4 and r/d=0.4, h/r=2 respectively as shown in Fig.1, Fig.2 and Table are tested with the use of polariscope. For each model, notch angle is unsymmetrically varied from $0^{\circ}$ to $180^{\circ}$ at intervals of $15^{\circ}$ as shown in Fig. 1 and Fig. 2. The results of this experiment are Fig. 7 and Fig. 8 and the following are deduced. As notch angle increases 1) from $0^{\circ}$ to $50^{\circ}$, the decrement of concentration factor is slight. 2) from $50^{\circ}$ to 90, the decrement of concentration factor is a little steeper. 3) from $30^{\circ}$ to $140^{\circ}$, the decrement of concentration factor is slight. 4) from $140^{\circ}$ to $180^{\circ}$, the decrement is very steep with an abrupt with an abrupt change in the neighborhood of $140^{\circ}$.

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Ductile Fracture Behavior of AS4P Under Mixed Mode (I/II) Loading

  • Oh, Dong-Joon
    • Journal of Mechanical Science and Technology
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    • v.16 no.4
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    • pp.476-484
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    • 2002
  • The aim of this study is to investigate the ductile fracture behavior under mixed mode (I/II) loading using SA533B pressure vessel steel. Anti-symmetric 4-point (AS4P) bending tests were performed to obtain the J-R curves under two different mixed mode (I/II) loadings. In addition, finite element analysis using Rousselier Ductile Damage Theory was carried out to predict the J-R curves under mixed mode (I/II) loadings. In conclusions, the J-R curves under. Mixed Mode (I/II) loading were located between those of Mode I and Mode II loading. When the mixity of mixed mode (I/II) loading was high, the J-R curve of mixed mode (I/II) loading approached that of pure mode I loading after some amount of crack propagation. In contrast with the above fact, if the mixity was low, the J-R curve took after that of pure mode II loading. Finally, it was found that the predicted J-R curves made a good agreement with the test data through the tuning procedures of $\beta$ values at the different mixed mode (I/II) loading.

A Study On Lateral Buckling Of H-Section Steel Beams (H형(形) 강(鋼) 보의 횡좌굴(橫挫屈)에 관(關)한 연구(硏究))

  • Kim, Seok-Jung
    • Journal of Industrial Technology
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    • v.4
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    • pp.29-35
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    • 1984
  • Buckling is a significant behavior to be considered whenever we design steel structures. In the case of H-shape beams, the lateral buckling occured by bending moment must be considered. Because of the lateral buckling of H-shape beams, the bending strength of the beams are determined by the lateral buckling stress instead of the allowable bending stress. Lateral buckling stress equation, consisting of two terms, i. e. ${\sigma}_{cr}({\nu},{\omega})={\sqrt{[{\sigma}_{cr}({\nu})]^2+[{\sigma}_{cr}({\omega})]^2}}$ has been using, but for the practical purpose of use the following equations are using two, i. e. ${\sigma}_{cr}({\nu})={\frac{0.65E}{{\ell}_h/A_f}}$, ${\sigma}_{cr}({\omega})={\frac{{\pi}^2E}{({\ell}_b/i_b)^2}}$. When we use the above equations, the results are different according to the shape of beam section, and they a re rather complex. In this study lateral buckling stress equation is derived, and the proposed formula$({\sigma}_{cr}(t))$ is compared with above mentioned two basic and practical equations. To verify the proposed formula experimentaly, 16H-shape beams which have different slender ratios arc tested by applying pure bending momet. Through the experiments the buckling behavior of H-shape beams is clarified, and the results shows that the proposed formula$({\sigma}_{cr}(t))$ is accurate enough for practical purpose.

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