• Title/Summary/Keyword: finite deformations

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A Study on Measurement and Analysis of In-Plane Deformations by Using Laser Speckle Interferometry (I) (레이저 스페클 간섭법을 이용한 면내 변형 측정 및 해석에 대한 연구 (I))

  • 강영준;노경완;강형수
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.11
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    • pp.121-129
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    • 1998
  • In-plane ESPI(Electronic Speckle Pattern Interferometry) was devised to measure in-plane deformations and rotation of a specimen with laser in this study. ESPI is a optical measuring method to be able to measure the deformations of engineering components and materials in industrial fields. The conventional measuring methods of surface deformations such as the strain gauge have many demerits because they are contact and point-to-point measuring ones. But that ESPI is noncontact, nondestructive and whole field measuring method can overcome previous disadvantages. We used ESPI which is sensitive to in-plane displacement for measuring in-plane deformations of a disk. And the 4-frame phase shifting method was used for the quantitative analysis. First of all, the system calibration was done due to an in-plane rotation before getting deformations of a disk. Finally we showed good agreement between the experiment results and those of the FEA(Finite Element Analysis).

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Multiscale modeling of elasto-viscoplastic polycrystals subjected to finite deformations

  • Matous, Karel;Maniatty, Antoinette M.
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.375-396
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    • 2009
  • In the present work, the elasto-viscoplastic behavior, interactions between grains, and the texture evolution in polycrystalline materials subjected to finite deformations are modeled using a multiscale analysis procedure within a finite element framework. Computational homogenization is used to relate the grain (meso) scale to the macroscale. Specifically, a polycrystal is modeled by a material representative volume element (RVE) consisting of an aggregate of grains, and a periodic distribution of such unit cells is considered to describe material behavior locally on the macroscale. The elastic behavior is defined by a hyperelastic potential, and the viscoplastic response is modeled by a simple power law complemented by a work hardening equation. The finite element framework is based on a Lagrangian formulation, where a kinematic split of the deformation gradient into volume preserving and volumetric parts together with a three-field form of the Hu-Washizu variational principle is adopted to create a stable finite element method. Examples involving simple deformations of an aluminum alloy are modeled to predict inhomogeneous fields on the grain scale, and the macroscopic effective stress-strain curve and texture evolution are compared to those obtained using both upper and lower bound models.

FINITENESS OF INFINITESIMAL DEFORMATIONS OF CR MAPPINGS OF CR MANIFOLDS OF NONDEGENERATE LEVI FORM

  • Cho, Chung-Ki;Han, Chong-Kyu
    • Journal of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.91-102
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    • 2002
  • Let M and N be CR manifolds with nondegenerate Levi forms of hypersurface type of dimension 2m + 1 and 2n + 1, respectively, where 1 $\leq$ m $\leq$ n. Let f : M longrightarrow N be a CR mapping. Under a generic assumption we construct a complete system of finite order for the infinitesimal deformations of f. In particular, we prove the space of infinitesimal deformations of f forms a finite dimensional Lie algebra.

Anisotropic Constitutive Model at Large Viscoplastic Deformations (탄소성 대변형에 관한 비등방 구성방정식)

  • Cho, Han-Wook
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.178-184
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    • 1995
  • A new combined isotropic/kinematic and orthotropic hardening viscoplastic model is proposed which can account for not only differential orientations but also preferred orientations of grains in n metal at finite plastic deformations with an introduction of multiple spin (rate of rotation) concept within the general framework of the model, the effects of anisotropy and constitutive spins will be discussed in conjunction with a closed-form solution for simple shear in n rigid-plastic material, which will be used to simulate experimental data of Montheillet, et al. (1984) for fixed-end tortion tests at finite plastic deformations.

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A Study on the Thermal Characteristics of a High Precision Machine Tool Spindle (고정밀 공작기계주축계의 열특성 해석에 관한 연구)

  • 김용길
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.03a
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    • pp.47-51
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    • 1996
  • Unsteady-state temperature distributions and thermal deformations of a spindle system are studied in this paper. Three dimensional model is built for analysis, and the amount of heat generation of bearing and the thermal characteristic values including heat transfer coefficient are estimated. Temperature distributions and thermal deformations of a model are analyzed using the finite element method and the termal boundary values. Numerical results are compared with the measured data. The results show that thermal deformations and temperature distributions of a high precision spindle system can be reasonably estimated using the three dimensional model and the finite element method.

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Analysis of Thermal Deformations of Shadow Mask and Electronic Beam Mislanding (쉐도우마스크의 열변형과 전자빔의 오차 해석)

  • 김현규;박영호;김상기;임세영
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.6
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    • pp.81-90
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    • 1994
  • Finite element analysis is performed for transient thermal deformation of a shadow mask inside the Braun tube and the landing shift or mislanding of the electronic beam is calclated. The shadow mask has numerous slits through which the electronic beams are guided to land on the designed phosphor. Its thermal deformations therefore cause the mislanding of the electronic beam and result in decolorization of a screen. For realistic finite element analysis, firstly the effective thermal conductivity and the effective elastric modulus are calculated, and the shadow mask is modeled as shell without slits. Next the nonlinear finite element formulation is developed for transient heat transfer on the shadow mask, wherein thermal radiation is a major heat transfer mechanism. Analysis of the resulting thermoelastic deformations is followed, from which the mislanding of the electronic beam is obtained. The present finite element scheme may be efficiently used for thermal deformation design of a shadow mask.

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A Study on the Prediction of Deformation of Welded Structures (용접구조물의 변형 예측에 관한 연구)

  • 서승일;장창두
    • Journal of Welding and Joining
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    • v.15 no.5
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    • pp.64-73
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    • 1997
  • Deformations of structures due to welding appear much complicated and deformated modes are also complex. As parameters governing deformations are various and effect of parameters on deformations is not well known, precise prediction of deformation due to welding has been a difficult problem. Until now, many research papers as to welding deformation have been published, but the research results can explain only one aspect of welding deformation have been published, but the research results can explain only one aspect of welding deformation and are hard to be used in reasonable prediction of welding deformations in complicated structures. In this study, based on the accumulated results concerning to welding deformations, a practical method to predict complicated welding deformations of large structure is proposed. A simplified model to estimate residual plastic strains is suggested and main parameters affecting residual plastic strains are shown to be heat input and joint restaints. Inherent strain theory and experimental data are combined with the finite element method and welding deformations of large structures are calculated by elastic analysis. Comparison of calculated results with experimental data shows the accuracy and validity of the proposed method.

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A Study on the Measurement of In-plane Deformations by using Electronic Speckle Pattern Interferometry and Finite Element Method (전자 스페클 간섭법과 유한요소법을 이용한 면내변형의 측정에 관한 연구)

  • Kang, Hyung-Soo;Cho, Ki-Hyon;Kim, Hong-suk;chung, Hyung-kil
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.3
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    • pp.187-192
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    • 2002
  • In-plane ESPI(Electronic Speckle Patten Interferometry)was devised to measure in~plane defamation and rotation of a specimen with laser in this study. The conventional measuring methods of surface deformations such as the strain gauge have many demerits because they are contact and point-to-point measuring ones. But that ESPI is noncontact, nondestructive and whole field measuring method can overcome previous disadvantages. We used ESPI which is sensitive to in-plane displacement for measuring in-plane deformations of a disk. First of all, the system calibration was done due to an in-plane rotation before getting deformations of a disk. Finally we showed good agreement between theexperiment results and those of the FEA(Finit Element Analysis).

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Buckling of plates including effect of shear deformations: a hyperelastic formulation

  • Musa, Idris A.
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.1107-1124
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    • 2016
  • Consistent finite strain Plate constitutive relations are derived based on a hyperelastic formulation for an isotropic material. Plate equilibrium equations under finite strain are derived following a static kinematic approach. Three Euler angles and four shear angles, based on Timoshenko beam theory, represent the kinematics of the deformations in the plate cross section. The Green deformation tensor has been expressed in term of a deformation tensor associated with the deformation and stretches of an embedded plate element. Buckling formulation includes the in-plane axial deformation prior to buckling and transverse as well as in-plane shear deformations. Numerical results for a simply supported thick plate under uni-axial compression force are presented.

Aeroelastic deformation and load reduction of bending-torsion coupled wind turbine blades

  • Shaojun, Du;Jingwei, Zhou;Fengming, Li
    • Wind and Structures
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    • v.35 no.5
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    • pp.353-368
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    • 2022
  • Wind turbine blades are adjusted in real-time according to the wind conditions and blade deformations to improve power generation efficiency. It is necessary to predict and reduce the aeroelastic deformations of wind turbine blades. In this paper, the equivalent model of the blade is established by the finite element method (FEM), and the aerodynamic load of the blade is evaluated based on the blade element momentum (BEM) theory. The aeroelastic coupling model is established, in which the bending-torsion coupling effect of the blade is taken into account. The steady and dynamic aeroelastic deformations are calculated. The influences of the blade section's shear centre position and the blade's sweepback design on the deformations are analyzed. The novel approaches of reducing the twist angle of the blade by changing the shear centre position and sweepback of the blade are presented and proven to be feasible.