• Title/Summary/Keyword: In-plane Deformations

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A HYBRID TREFFTZ FLAT SHELL ELEMENT

  • Choo, Yeon-Seok;Choi, Noo-Ri;Lee, Byung-Chai
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.402-407
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    • 2008
  • We suggest a linear elastic flat shell element based on the HT(hybrid Trefftz) method. We formulate the membrane part of the proposed element as an HT plane element with the drilling DOF. For the bending part, we developed a thick HT plate element that can represent transverse shear deformations accurately. Because we derive both the membrane and the bending parts consistently using the HT functional, we can easily construct the triangular and the quadrilateral elements in a unified way. In addition, warping of quadrilateral element is compensated by force and moment equilibrium equations. We evaluate the performance of the new element in terms of accuracy and convergence.

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Multivariate adaptive regression splines model for reliability assessment of serviceability limit state of twin caverns

  • Zhang, Wengang;Goh, Anthony T.C.
    • Geomechanics and Engineering
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    • v.7 no.4
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    • pp.431-458
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    • 2014
  • Construction of a new cavern close to an existing cavern will result in a modification of the state of stresses in a zone around the existing cavern as interaction between the twin caverns takes place. Extensive plane strain finite difference analyses were carried out to examine the deformations induced by excavation of underground twin caverns. From the numerical results, a fairly simple nonparametric regression algorithm known as multivariate adaptive regression splines (MARS) has been used to relate the maximum key point displacement and the percent strain to various parameters including the rock quality, the cavern geometry and the in situ stress. Probabilistic assessments on the serviceability limit state of twin caverns can be performed using the First-order reliability spreadsheet method (FORM) based on the built MARS model. Parametric studies indicate that the probability of failure $P_f$ increases as the coefficient of variation of Q increases, and $P_f$ decreases with the widening of the pillar.

Deployment or Retraction of Beam with Large Rotational Motion (대각 선회하는 보의 전개 및 수납)

  • 김상원;김지환
    • Journal of KSNVE
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    • v.11 no.1
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    • pp.111-117
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    • 2001
  • Present work deals with a study on the deployment or retraction of cantilever beam that includes the rigid-body motion of large displacement of beam through the translational and rotational motions in 2-dimensional plane. The equations of motion are derived with respect to non-Cartesian coordinate system. In the formulation of equations of motion, shear deformations and geometrically non-linear effect are included. An assumed mode method is applied and numerical convergence characteristics are studied also. Types of motion of the moving beam are assumed to be classified as‘slow’or‘fast’motion, and the dynamic characteristics are investigated.

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Reversed Lateral Load Test of A 2-Bay 2-Story Reinforced Concrete Frame with Seismic Detail (내진상세를 가진 2경간 2층 철근콘크리트 골조의 반복횡하중 실험)

  • 이한선;우성우;권준혁
    • Proceedings of the Korea Concrete Institute Conference
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    • 1996.04a
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    • pp.317-322
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    • 1996
  • The objective of this study is to investigate the characteristics of elastic and inelasitc behavior of ductile moment-resisting reinforced concrete frame subhected to reversed lateral loading such as eqrthquake excitations. For this purpose, a 2-bay 2-story R.C. plane frame with seismic detail was designed and one 1/2.5-scale subassemblage was manufactured according to the required similitude law. Then the reversed load test under the displacement control was performed statically to this subassemblage. Finally the results of this test were analysed regarding to (1) the design load vs actual strength, (2) degradation in stiffness and strength, (3) failure mode or main plastic mechanism in energy dissipation, (4) local deformations.

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Thermo-elastic stability behavior of laminated cross-ply elliptical shells

  • Patel, B.P.;Shukla, K.K.;Nath, Y.
    • Structural Engineering and Mechanics
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    • v.19 no.6
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    • pp.749-755
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    • 2005
  • In this work, thermo-elastic stability behavior of laminated cross-ply elliptical cylindrical shells subjected to uniform temperature rise is studied employing the finite element approach based on higher-order theory that accounts for the transverse shear and transverse normal deformations, and nonlinear in-plane displacement approximations through the thickness with slope discontinuity at the layer interfaces. The combined influence of higher-order shear deformation, shell geometry and non-circularity on the prebuckling thermal stress distribution and critical temperature parameter of laminated elliptical cylindrical shells is examined.

Submicro-displacement Measuring System with Moire Interferometer and Application to the Themal Deformation of PBGA Package (무아레 간섭계 초정밀 변위 측정장치의 설계 및 PBGA 패키지 열변형 측정에의 응용)

  • Oh, Ki-Hwan;Joo, Jin-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.11
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    • pp.1646-1655
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    • 2004
  • A description of the basic principles of moire interferometry leads to the design of a eight-mirror four-beam interferometer for obtaining fringe patterns representing contour-maps of in-Plane displacements. The technique is implemented by the optical system using an environmental chamber for submicro-displacement mesurement. In order to estimate the reliability and applicabili쇼 of the system developed, the measurement of coefficient of thermal expansion (CTE) for a aluminium block is performed. Consequently, the system is applied to the measurement of thermal deformation of a WB-PBGA package assembly. Temperature dependent analyses of global and local deformations are presented to study the effect of the mismatch of CTE between materials composed of the package assemblies. Bending displacements of the packages and average strains of solder balls are documented. Thermal induced displacements calculated by FEM agree quantitatively with experimental results.

Stability of rectangular tunnel in improved soil surrounded by soft clay

  • Siddharth Pandey;Akanksha Tyagi
    • Geomechanics and Engineering
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    • v.34 no.5
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    • pp.491-505
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    • 2023
  • The practical usage of underground space and demand for vehicular tunnels necessitate the construction of non-circular wide rectangular tunnels. However, constructing large tunnels in soft clayey soil conditions with no ground improvement can lead to excessive ground deformations and collapse. In recent years, in situ ground improvement techniques such as jet grouting and deep cement mixing are often utilized to perform cement-stabilisation around the tunnel boundary to prevent large deformations and failure. This paper discusses the stability characteristics and failure behaviour of a wide rectangular tunnel in cement-treated soft clays. First, the plane strain finite element model is developed and validated with the results of centrifuge model tests available in the past literature. The critical tunnel support pressures computed from the numerical study are found to be in good agreement with those of centrifuge model tests. The influence of varying strength and thickness of improved soil surround, and cover depth are studied on the stability and failure modes of a rectangular tunnel. It is observed that the failure behaviour of the tunnel in improved soil surround depends on the ratio of the strength of improved soil surround to the strength of surrounding soil, i.e., qui/qus, rather than just qui. For low qui/qus ratios,the stability increases with the cover; however, for the high strength improved soil surrounds with qui >> qus, the stability decreases with the cover. The failure chart, modified stability equation, and stability chart are also proposed as preliminary design guidelines for constructing rectangular tunnels in the improved soil surrounded by soft clays.

Study on the Out-of-Plane Deformation Measurement Condition through Comparison Photosensitivity (광감도 비교를 통한 면외 변형 측정 조건에 대한 연구)

  • Kim, Hyun Ho;Kang, Chan Geun;Lee, Hyun Jun;Jung, Hyun Chul;Kim, Kyeong Suk;Hong, Chung Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.9
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    • pp.807-813
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    • 2015
  • In the present study, an interferometer system, which integrates the laser sensitivity control technique based on the theory of electronic speckle pattern interferometry, one of non-contact non-destructive analysis methods, was developed. This interferometry system receives an image from CCD cameras for each reference and object, and compares the photosensitivity of the object and reference images from imagification. For the purpose of this study, the photosensitivity of object and reference light is measured with power meters, and the amount of light was controlled with an ND filter with a reference light port matching photosensitivity. Using the plate specimen as the object, 0.6, 0.9, 1.2, and $1.5{\mu}m$ of out-plane deformation was made, and images were compared according to the difference in photosensitivity. After analysis, larger object deformations showed larger numbers of stripe patterns. Images became clearer and data error was reduced when the photosensitivity of object and reference light matched.

Numerical Analysis of Cyclic Deformation of Polymer Foam Film Using Stretched Truncated Octahedron Model (모서리가 제거된 팔면체 인장모델을 이용한 다공성 폴리머 박막의 반복변형거동 수치해석)

  • Yoo, Ui-Kyung;Lee, Young-Seog
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.3
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    • pp.104-110
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    • 2010
  • Cyclic deformations of polymer foam film are simulated using the finite element method. Material of polymer foam film is polypropylene (PP). The calculated polymer foam film is micro-scale thin film has cellular structure. The polymer foam film is used in ferro-electret applications. The polymer foam film is idealized to one cell structure as lens shaped stretched truncated octahedron model. Cyclic deformation is performed by uniaxial stretching. Stretching direction is perpendicular to plane of cellular film. Various cyclic strain amplitudes, pore wall thicknesses, pore shape are investigated to find deformation tendency of cellular structure. Consequently, cellular structure has various macroscopic stresses on cyclic deformation with various pore thickness and pore shape.

Anisotropic Elasto-Viscoplastic Finite Element Analysis for Polycrystalline Materials (다결정재의 이방성 탄.점소성 유한요소해석)

  • 이용신;김응주
    • Korean Journal of Computational Design and Engineering
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    • v.2 no.2
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    • pp.71-76
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    • 1997
  • The deformations of polycrystalline materials are modelled by linking a constitutive equation for the crystallographic slip of a single crystal to the macroscopic behavior of the aggregate. In this study, anisotropic elasticity (lattice stretching) of a cubic crystal is incoporated into the anisotropic plasticity from crystallographic slip. The constitutive description for the aggregate, derived from a crystal plasticity theory, is used to formulate a Consistent Penalty Finite Element Method for the anisotropic elasto-viscoplastic deformation of polycrystalline materials. As an application, a plane-strain forging process is simulated and the effects of the initial textures on the deformation behavior of the workpiece are examined.

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