• Title/Summary/Keyword: nonlinear deformation

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Material Nonlinear Fracture Analysis of Reinforced Concrete Shell (철근콘크리트 쉘의 재료비선형 파괴해석)

  • Jin, Chi Sub;Cha, Young Soo;Jang, Heui Suk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.1
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    • pp.25-32
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    • 1989
  • A finite element program for material nonlinear fracture analysis of reinforced concrete shell was developed. This method can be used to trace the load-displacement response and crack propagation through the elastic and inelastic ranges. A layered isoparametric flat finite element considering the coupling effect between the in-plane and the bending action was developed. Mindlin plate theory taking account of transverse shear deformation was used. The validity of the present program was proved by comparing the numerical results with Hedgren's experimental data.

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Hyperelastic Finite Element Formulation using Pressure Potential (압력포텐샬을 이용한 초탄성 유한요소 정식화)

  • Kim, Heon-Young;Kim, Ho;Kim, Joong-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2492-2502
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    • 2002
  • A rubber-like material model is generally characterized by hyperelasticity and formulated by a total stress-total strain relationship because the material shows nonlinear elastic behaviour under large deformation. In this study, a pressure potential obtained by a separately interpolated pressure is introduced to the non-linear finite element formulation incorporating with incompressible or almost incompressible condition of the material. The present formulation is somewhat different from the general formulation using the pressure computed in the displacement field. A non-linear finite element analysis program is developed for the plane strain and the axisymmetric contact problems of a rubber-like material. Various examples with rubber material are analyzed for its verification. The results about deformed shapes and stress distributions thought to be meaningful in comparison with a commercial program, MARC.

Optimal Design of Panel with Trapezoidal Type Stiffeners (사다리꼴 보강재를 활용한 패널의 최적설계)

  • 이종선
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.6
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    • pp.71-76
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    • 2003
  • Optimal design of panel with trapezoidal type stiffeners was studied using linear and nonlinear deformation theories. Also analysis method was using closed-form analysis and finite difference energy methods, respectively. Various bucking load factors are obatined for stiffened laminated composite panel with trapezoidal type stiffeners and various aspect ratios, which are made from Carbon/Epoxy USN 125 prepreg and are simply-supported on four edges under uniaxial compression. Optimal design analyses are carried out by the nonlinear search optimizer, ADS.

The rheology of two-dimensional systems

  • Fuller, G.;Yim, K.S.;Brooks, C.;Olson, D.;Frank, C.
    • Korea-Australia Rheology Journal
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    • v.11 no.4
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    • pp.321-328
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    • 1999
  • This paper discusses the rheology of complex interfaces comprised of amphiphilic materials that are susceptible to flow-induced orientation and deformation. The consequence of the coupling of the film micro-structure to flow leads to nonlinear rheology and surface fluid dynamics. Experimental methods designed to determine the mechanical rheological material functions of fluid-fluid interfaces as well as local, molecular and morphological responses are presented. These include a newly developed interfacial stress rheometer, flow ultraviolet dichroism, and Brewster-angle microscopy. These techniques are applied to a number of complex interfaces ranging from low molecular weight amphiphiles to polymer monolayers. Nonlinear flow phenomena ranging from two-dimensional nematic responses to highly elastic surface flows that manifest surface normal stress differences and elongational viscosities are described.

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Finite element implementation of a steel-concrete bond law for nonlinear analysis of beam-column joints subjected to earthquake type loading

  • Fleury, F.;Reynouard, J.M.;Merabet, O.
    • Structural Engineering and Mechanics
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    • v.7 no.1
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    • pp.35-52
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    • 1999
  • Realistic steel-concrete bond/slip relationships proposed in the literature are usually uniaxial. They are based on phenomenological theories of deformation and degradation mechanisms, and various pull-out tests. These relationships are usually implemented using different analytical methods for solving the differential equations of bond along the anchored portion, for particular situations. This paper justifies the concepts, and points out the assumptions underlying the construction and use of uniaxial bond laws. A finite element implementation is proposed using 2-D membrane elements. An application example on an interior beam-column joint illustrates the possibilities of this approach.

3D material model for nonlinear basic creep of concrete

  • Bockhold, Jorg
    • Computers and Concrete
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    • v.4 no.2
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    • pp.101-117
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    • 2007
  • A new model predicting the nonlinear basic creep behaviour of concrete structures subjected to high multi-axial stresses is proposed. It combines a model based on the thermodynamic framework of the elasto-plastic continuum damage theory for time-independent material behaviour and a rheological model describing phenomenologically the long-term delayed deformation. Strength increase due to ageing is regarded. The general 3D solution for the creep theory is derived from a rate-type form of the uniaxial formulation by the assumption of associated creep flow and a theorem of energy equivalence. The model is able to reproduce linear primary creep as well as secondary and tertiary creep stages under high compressive stresses. For concrete in tension a simple viscoelastic formulation is applied. The material law is then incorporated into a finite element solution procedure for analysis of reinforced concrete structures. Numerical examples of uniaxial creep tests and concrete members show excellent agreement with experimental results.

Stability of five layer sandwich beams - a nonlinear hypothesis

  • Smyczynski, Mikolaj J.;Magnucka-Blandzi, Ewa
    • Steel and Composite Structures
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    • v.28 no.6
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    • pp.671-679
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    • 2018
  • The paper is devoted to the stability analysis of a simply supported five layer sandwich beam. The beam consists of five layers: two metal faces, the metal foam core and two binding layers between faces and the core. The main goal is to elaborate a mathematical and numerical model of this beam. The beam is subjected to an axial compression. The nonlinear hypothesis of deformation of the cross section of the beam is formulated. Based on the Hamilton's principle the system of four stability equations is obtained. This system is approximately solved. Applying the Bubnov-Galerkin's method gives an ordinary differential equation of motion. The equation is then numerically processed. The equilibrium paths for a static and dynamic load are derived and the influence of the binding layers is considered. The main goal of the paper is an analytical description including the influence of binding layers on stability, especially on critical load, static and dynamic paths. Analytical solutions, in particular mathematical model are verified numerically and the results are compared with those obtained in experiments.

Axisymmetric bending of a circular plate with symmetrically varying mechanical properties under a concentrated force

  • Magnucki, Krzysztof;Stawecki, Wlodzimierz;Lewinski, Jerzy
    • Steel and Composite Structures
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    • v.34 no.6
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    • pp.795-802
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    • 2020
  • The subject of the paper is a circular plate with symmetrically thickness-wise varying mechanical properties. The plate is simply supported and carries a concentrated force located in its centre. The axisymmetric bending problem of the plate with consideration of the shear effect is analytically and numerically studied. A nonlinear function of deformation of the straight line normal to the plate neutral surface is assumed. Two differential equations of equilibrium based on the principle of stationary potential energy are obtained. The system of equations is analytically solved and the maximum deflections and shear coefficients for example plates are derived. Moreover, the maximum deflections of the plates are calculated numerically (FEM), for comparison with the analytical results.

Optimal Design of Stiffened Laminated Composite Cylindrical Panel with Various Types of Stiffeners (다양한 형태의 보강재로 보강된 원통형패널의 최적설계)

  • Lee Jong-Sun;Won Chong-Jin
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.2
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    • pp.10-15
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    • 2006
  • The optimal design for stiffened laminated composite cylindrical panels under axial compression was studied using linear and nonlinear deformation theories by finite difference energy methods. Various panel structures was made from Carbon/Epoxy USN125 prepreg and considered 3 types stiffeners. Optimal design analyses of panel structure are carried out by the nonlinear search optimizer, ADS. This optimal design results are compared to the FEM result using ANSYS.

Buckling Behavior of Stiffened Laminated Composite Laminated Composite Cylindrical Panel (보강된 복합적층 원통형패널의 좌굴거동)

  • 원종진
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.549-554
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    • 2000
  • In this study, using linear and nonlinear deformation theories and by closed-form analysis and finite difference energy methods, respectively, various buckling load factors are obtained for stiffened laminated composite cylindrical panels with rectangular type longitudinal stiffeners and various longitudinal length to radius ratios, which are made from Carbon/Epoxy USN150 prepreg and are simply-supported on four edges under uniaxial compression, and then for them, buckling behavior design analyses are carried out by the nonlinear search optimizer, ADS

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