• Title/Summary/Keyword: displacement fields

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An Analysis on Brazier Effect of Cylindrical Tubes Under Pure Bending by Upper Bound Method (상계 해법을 이용한 순수 굽힘하의 원형 튜브의 단면 면화 해석)

  • Koo, Sang-Wan;Kim, Nak-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.524-530
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    • 2003
  • This paper presents a new model on deformation characteristics of cylindrical tubes under pure bending. The model is based on the upper bound method that minimizes total strain energy of a system. It does not assume inextensibility condition. Geometric relations and displacement fields are derived by analysis of deformation behaviors of elastic tubes. Simulations are calculated using numerical optimization and integration techniques. The results give information about cross-sectional deformation of cylindrical tubes. Simulation results are compared with available data in literatures, which show that this method predicts deformation characteristics of tube bending process.

An efficient computational method for stress concentration problems

  • Shrestha, Santosh;Ohga, Mitao
    • Structural Engineering and Mechanics
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    • v.22 no.5
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    • pp.613-629
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    • 2006
  • In this paper a recently developed scaled boundary finite element method (SBFEM) is applied to simulate stress concentration for two-dimensional structures. In addition, a simple and independent formulation for evaluating the coefficients, not only of the singular term but also higher order non-singular terms, of the stress fields near crack-tip is presented. The formulation is formed by comparing the displacement along the radial points ahead of the crack-tip with that of standard Williams' eigenfunction solution for the crack-tip. The validity of the formulation is examined by numerical examples with different geometries for a range of crack sizes. The results show good agreement with available solutions in literatures. Based on the results of the study, it is conformed that the proposed numerical method can be applied to simulate stress concentrations in both cracked and uncracked structure components more easily with relatively coarse and simple model than other computational methods.

Moving load response on the stresses produced in an irregular microstretch substrate

  • Kaur, Tanupreet;Sharma, Satish Kumar;Singh, Abhishek Kumar;Chaki, Mriganka Shekhar
    • Structural Engineering and Mechanics
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    • v.60 no.2
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    • pp.175-191
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    • 2016
  • The present article is aimed at an investigation of stresses produced in a microstretch elastic half-space due to a moving load. The expressions of normal stress, shear stress and tangential couple stress produced in this case have been obtained in closed form. To find the displacement fields the perturbation method is applied. Significant effect of moving load on variation of stresses developed at different depths below the surface due to the depth of substrate and frictional coefficient of the rough surface of the medium has been observed. The effects of different shapes of irregularity and depth of irregularity on normal, shear and tangential couple stresses have been discussed. Some particular cases have also been deduced from the present investigation. Finally, the analytical developments have been illustrated numerically for aluminium-epoxy-like material substrate under the action of moving load.

Development of a Numerical Method for Effective Elastic Analysis of Unbounded Solids with Anisotropic Inclusions (이방성 함유체가 포함된 무한고체의 효과적인 탄성해석을 위한 수치해석 방법 개발)

  • 최성준;이정기
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.41-52
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    • 1998
  • A volume integral equation method and a mixed volume and boundary integral equation method are presented for the solution of plane elastostatic problems in solids containing orthotropic inclusions and voids. The detailed analysis of the displacement and stress fields are developed for orthotropic cylindrical and elliptic-cylindrical inclusions and voids. The accuracy and effectiveness of the new methods are examined through comparison with results obtained from analytical and boundary integral equation methods. Through the analysis of plane elastostatic problems in unbounded isotropic matrix containing orthotropic inclusions and voids, it is established that these new methods are very accurate and effective for solving plane elastostatic and elastodynamic problems in unbounded solids containing general anisotropic inclusions and voids or cracks.

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p-Version Finite Element Analysis of Stiffened Plates Including Transverse Shear Deformation (전단 변형을 고려한 보강판의 p-Version 유한요소 해석)

  • 홍종현;우광성;신영식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.145-152
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    • 1995
  • A general stiffener element which includes transverse shear deformation(TSD) is formulated using the p-version of finite element method. Hierarchic C"-shape functions, derived from Integrals of Legendre polynomials, are used to define the assembled stiffness matrix of the stiffener and plate on the basis of 5 D.0.F displacement fields. The stiffness matrix for the stiffener with respect to the local reference frame is transformed to the plate reference system by applying the appropriate transformation matrices in order to insure compatibility of displacements at the junction of the stiffener and plate. The transformation matrices which account for the orientation and the eccentricity effects of the stiffener with respect to the plate reference axes are used to find local behavior at the junction of the stiffener and the relative contributions of the plate and stiffener to the strength of the composite system. The results obtained by the p-version of the finite element method are compared with the results in literatures, especially those by the h-version software, MICROFEAP-II.P-II.

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Static and Dynamic Analysis of Plate Structures using an Enhanced Finite Element (개선된 유한요소를 이8한 평판구조물의 정적 및 동적해석)

  • 김선훈;한인선;유승운;최창근
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.169-176
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    • 2002
  • This paper is concerned with development of an enhanced quadratic Mindlin plate bending element. The behavior of the proposed plate element is further improved by the coupled use of non-conforming displacement modes, the selectively reduced integration scheme, and the assumed shear strain fields. The improvement may be attributable to the fact that the merits of these improvement techniques are merged in the formation of the new element in a complementary manner. The proposed quadratic finite element passes the patch tests, does not show spurious mechanism, and does not produce shear locking phenomena even with distorted meshes. It is shown that the element produces reliable solutions through numerical tests for standard benchmark problems. It is also noted that the element is applicable to transient dynamic analysis of Mindlin plates.

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Reliability Analysis of Stochastic Finite Element Model by the Adaptive Importance Sampling Technique (적응적 중요표본추출법에 의한 확률유한요소모형의 신뢰성분석)

  • 김상효;나경웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.351-358
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    • 1999
  • The structural responses of underground structures are examined in probability by using the elasto-plastic stochastic finite element method in which the spatial distributions of material properties are assumed to be stochastic fields. In addition, the adaptive importance sampling method using the response surface technique is used to improve simulation efficiency. The method is found to provide appropriate information although the nonlinear Limit State involves a large number of basic random variables and the failure probability is small. The probability of plastic local failures around an excavated area is effectively evaluated and the reliability for the limit displacement of the ground is investigated. It is demonstrated that the adaptive importance sampling method can be very efficiently used to evaluate the reliability of a large scale stochastic finite element model, such as the underground structures located in the multi-layered ground.

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Dynamics of thick hygrothermal viscoelastic composite laminates through finite element method

  • Assie, Amr E.;Mahmoud, Fatin F.
    • Structural Engineering and Mechanics
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    • v.17 no.5
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    • pp.727-734
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    • 2004
  • An uncoupled computational model for analyzing the hygrothermal dynamic response of composite laminates has been developed. The constitutive equations, expressed in an integral form, and involving relaxation moduli are adopted, to describe the non-aging hygrothermorheologically simple materials. A Prony series represents the relaxation moduli is exploited in order to derive a recursive relationship, and thereby eliminate the storage problem that arises when dealing with material possessing memory. The problem is formulated in a descritized variational form. Mindlin and higher order finite elements are employed for spatial descretization, while the Newmark average acceleration scheme is exploited for temporal descritization. The adopted recursive formula uses only the details of the previous event to compute the details of the current one. Numerical results of the displacement fields of both thin and thick viscoelastic laminates problems are discussed to show up the effectiveness of Mindlin and higher-order shear theories.

Applications of BOTDR fiber optics to the monitoring of underground structures

  • Moffat, Ricardo A.;Beltran, Juan F.;Herrera, Ricardo
    • Geomechanics and Engineering
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    • v.9 no.3
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    • pp.397-414
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    • 2015
  • Three different applications for monitoring displacements in underground structures using a BOTDR-based distributed optical fiber strain sensing system are presented. These applications are related to the strain measurements of (1) instrumented PVC tube designed to be attached to tunnel side wall and ceiling as a sensor; (2) rock bolts for tunnels; and (3) shotcrete lining under loading. The effectiveness of using the proposed strain sensing system is evaluated by carrying out laboratory tests, in-situ measurements, and numerical simulations. The results obtained from this validation process provide confidence that the optical fiber is able to quantify strain fields under a variety of loading conditions and consequently use this information to estimate the behavior of rock mass during mining activity. As the measuring station can be located as far as 1 km of distance, these alternatives presented may increase the safety of the mine during mining process and for the personnel doing the measurements on the field.

A Numerical Study on the Flow and Performance Characteristics of a Piezoelectric Micropump with Electromagnetic Resistance for Electrically Conducting Fluids (전자기 전항을 이용한 압전 구동방식 마이크로 펌프의 유동 및 성능 특성에 관한 수치해석적 연구)

  • An, Yong-Jun;Choi, Chung-Ryul;Kim, Chang-Nyung
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2788-2793
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    • 2008
  • A numerical analysis has been conducted for flow characteristics and performance of a micropump with piezodisk and MHD(Magnetohydrodynamics) fluid. Various micro systems which could not be considered in the past have been recently growing with the development of MEMS(Micro Electro Mechanical System) and micro machining technology. Especially, micropumps, essential part of micro fluidic devices, are being lively studies by many researchers. In the present study, the piezo electric micropump with electromagnetic resistance for electrically conducting fluids is considered. The prescribed grid deformation method is used for the displacement of the membrane. The change of the performance of the micropump and flow characteristics of the electrically conducting fluid with the magnitude of the magnetic fields, duct size, the position of the inlet and outlet duct are investigated in the present study.

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