• Title/Summary/Keyword: nonlinear deformation

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The Temperature Dependent C-H/V Constitutive Modeling for Magnesium Alloy Sheet (마그네슘 판재를 위한 온도 의존형 C-H/V 구성 모델에 관한 연구)

  • Park, J.H.;Lee, J.K.;Kim, H.Y.
    • Transactions of Materials Processing
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    • v.21 no.4
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    • pp.221-227
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    • 2012
  • The automotive and electronic industries have seriously considered the use of magnesium alloys because of their excellent properties such as strength to weight ratio, EMI shielding capability, etc. However, it is difficult to form magnesium alloys at room temperature because of the mechanical deformation related to twinning. Hence, magnesium alloys are normally formed at elevated temperatures. In this study, a temperature dependent constitutive model, the C-H/V model, for the magnesium alloy AZ31B sheet is proposed. A hardening law based on nonlinear kinematic and H/V(Hollomon/Voce) hardening model is used to properly characterize the Bauschinger effect and the stabilization of the flow stress. Material parameters were determined from a series of uni-axial cyclic experiments(C-T-C) with the temperature ranging between 150 and $250^{\circ}C$. The developed models are fit to experimental data and a comparison is made.

A Study on the Numerical Technique for the Nonlinear Deformation Analysis of Solid Structures(2) -Application to a Simple Solid Structure- (고체구조물의 비선형변형 수치해석에 대한 이론적고찰(2) -단순구조물에의 적용-)

  • Youngjoo Kwon
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.11
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    • pp.166-171
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    • 1998
  • 본 논문에서는 고체구조물의 비선형변형해석에 대하여 일반이론으로 개발된 수치해법을 단순 고체 구조물인 일차원 봉 문제에 적용하여 그 변형해석을 수행 하였다. 정확한 해를 구하기 위하여 증분 뉴톤-랩슨방법이 수정 보완 사용되었다. 또한 개발된 비선형유한요소법의 검증을 위하여 수학적인 정해가 존재하는 균일한 체력이 작용하는 단순봉의 변형을 해석하여 그 결과를 수학적인 정해와 비교하였다. 비교 결과 본 논문을 통하여 개발된 비선형 유한요소법의 정확성이 입증되었다.

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A Comparative Study on Aseimatic Performances of Various Base Isolation Systems (여러 가지 기초분리 장치의 내진성능에 관한 비교연구)

  • 박규식
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1999.10a
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    • pp.236-243
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    • 1999
  • A comparative study on aseismatic performances of various base isolation systems for the multi-span continuous bridge is carried out. Several leading base isolation systems the LRB system the RF system the R-FBI system and the EDF system are considered, The displacement of the deck the deformation of the upper ends of the piers the shear force and the bending moment of the lower ends of the piers are obtained by using the accelerograms of the N00W component of El Centro earthquake(1940) and the N90W component of Mexico City earthquake(1985) Nonlinear time-history analysis is carried out. comparisons of the results with the conventional bearing show that the base isolation systems are very effective in reducing the forces transmitted to the superstructures. Furthermore the results also show that the friction-type base isolation systems are less sensitive to unexpected variations in frequency content of the ground acceleration. The R-FBI system shows a good aseismatic performance comparing with other base isolation systems.

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A Comparative Study on Displacement-Based Seismic Design Method of Bridge Structures (변위기반설계법에 의한 교량 내진설계의 비교연구)

  • Ju, Jeong-Hun;Cho, Yang-Hee
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.308-315
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    • 2006
  • Most of seismic designs of major structures up to now have been performed by the traditional 'force-based design' approaches. However, they are not so efficient to evaluate the structural deformations by potential nonlinear behaviors which are directly related with the damages or performance levels during earthquakes. Lately, based on this situation, various kinds of new seismic design approaches based on the deformation, which is called 'displacement-based design' procedures, have been proposed. In this paper, most of detail techniques and procedures of the new design methods in the literature are comparatively reviewed and evaluated first, followed by a series of design examples of typical bridge structures. Comparing the results with those of the existing force-based design, the improved levels of performance and economy of the displacement-based seismic design have been validated.

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Dynamic stability of a metal foam rectangular plate

  • Debowski, D.;Magnucki, K.;Malinowski, M.
    • Steel and Composite Structures
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    • v.10 no.2
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    • pp.151-168
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    • 2010
  • The subject of the paper is an isotropic metal foam rectangular plate. Mechanical properties of metal foam vary continuously through plate of the thickness. A nonlinear hypothesis of deformation of plane cross section is formulated. The system of partial differential equations of the plate motion is derived on the basis of the Hamilton's principle. The system of equations is analytically solved by the Bubnov-Galerkin method. Numerical investigations of dynamic stability for family rectangular plates with respect analytical solution are performed. Moreover, FEM analysis and theirs comparison with results of numerical-analytical calculations are presented in figures.

Effect of column loss location on structural response of a generic steel moment resisting frame

  • Rezvani, Farshad Hashemi;Jeffers, Ann E.;Asgarian, Behrouz;Ronagh, Hamid Reza
    • Steel and Composite Structures
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    • v.25 no.2
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    • pp.217-229
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    • 2017
  • The effect of column loss location on the structural response of steel moment resisting frames (MRF) is investigated in this study. A series of nonlinear static and dynamic analyses were performed to determine the resistance of a generic frame to an arbitrary column loss and detect the structural members that are susceptible to failure progression beyond that point. Both force-controlled and deformation-controlled actions based on UFC 4-023-03 and ASCE/SEI 41-06 were implemented to define the acceptance criteria for nine APM cases defined in this study. Results revealed that the structural resistance against an arbitrary column loss in the top story is at least 80% smaller than that of the bottom story. In addition, it was found that the dynamic increase factor (DIF) at the failure point is at most 1.13.

Dynamic analysis of concrete column reinforced with Sio2 nanoparticles subjected to blast load

  • Azmi, Masoud;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Advances in concrete construction
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    • v.7 no.1
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    • pp.51-63
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    • 2019
  • The project focuses on the dynamic analysis of concrete beams reinforced with silica-nanoparticles under blast loading. The structure is located at two boundary conditions. The equivalent composite properties are determined using Mori-Tanak model. The structure is simulated with sinusoidal shear deformation theory. Employing nonlinear strains-displacements, stress-strain, the energy equations of beam were obtained and using Hamilton's principal, the governing equations were derived. Using differential quadrature methods (DQM) and Newmark method, the dynamic deflection of the structure is obtained. The influences of volume percent and agglomeration of silica nanoparticles, geometrical parameters of beam, boundary condition and blast load on the dynamic deflection were investigated. Results showed that with increasing volume percent of silica nanoparticles, the dynamic deflection decreases.

Buckling analysis of concrete plates reinforced by piezoelectric nanoparticles

  • Taherifar, Reza;Mahmoudi, Maryam;Nasr Esfahani, Mohammad Hossein;Khuzani, Neda Ashrafi;Esfahani, Shabnam Nasr;Chinaei, Farhad
    • Computers and Concrete
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    • v.23 no.4
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    • pp.295-301
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    • 2019
  • In this paper, buckling analyses of composite concrete plate reinforced by piezoelectric nanoparticles is studied. The Halphin-Tsai model is used for obtaining the effective material properties of nano composite concrete plate. The nano composite concrete plate is modeled by Third order shear deformation theory (TSDT). The elastic medium is simulated by Winkler model. Employing nonlinear strains-displacements, stress-strain, the energy equations of concrete plate are obtained and using Hamilton's principal, the governing equations are derived. The governing equations are solved based on Navier method. The effect of piezoelectric nanoparticles volume percent, geometrical parameters of concrete plate and elastic foundation on the buckling load are investigated. Results showed that with increasing Piezoelectric nanoparticles volume percent, the buckling load increases.

Buckling analysis of plates reinforced by Graphene platelet based on Halpin-Tsai and Reddy theories

  • Javani, Rasool;Bidgoli, Mahmood Rabani;Kolahchi, Reza
    • Steel and Composite Structures
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    • v.31 no.4
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    • pp.419-426
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    • 2019
  • In this paper, buckling analyses of composite plate reinforced by Graphen platelate (GPL) is studied. The Halphin-Tsai model is used for obtaining the effective material properties of nano composite plate. The nano composite plate is modeled by Third order shear deformation theory (TSDT). The elastic medium is simulated by Winkler model. Employing nonlinear strains-displacements, stress-strain, the energy equations of plate are obtained and using Hamilton's principal, the governing equations are derived. The governing equations are solved based on Navier method. The effect of GPL volume percent, geometrical parameters of plate and elastic foundation on the buckling load are investigated. Results showed that with increasing GPLs volume percent, the buckling load increases.

GROUND STATE SIGN-CHANGING SOLUTIONS FOR NONLINEAR SCHRÖDINGER-POISSON SYSTEM WITH INDEFINITE POTENTIALS

  • Yu, Shubin;Zhang, Ziheng
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1269-1284
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    • 2022
  • This paper is concerned with the following Schrödinger-Poisson system $$\{\begin{array}{lll}-{\Delta}u+V(x)u+K(x){\phi}u=a(x){\mid}u{\mid}^{p-2}u&&\text{ in }{\mathbb{R}}^3,\\-{\Delta}{\phi}=K(x)u^2&&\text{ in }{\mathbb{R}}^3,\end{array}$$ where 4 < p < 6. For the case that K is nonnegative, V and a are indefinite, we prove the above problem possesses one ground state sign-changing solution with exactly two nodal domains by constraint variational method and quantitative deformation lemma. Moreover, we show that the energy of sign-changing solutions is larger than that of the ground state solutions. The novelty of this paper is that the potential a is indefinite and allowed to vanish at infinity. In this sense, we complement the existing results obtained by Batista and Furtado [5].