• 제목/요약/키워드: combined finite-discrete element methods

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대형 노후 구조물의 최적 기계식 해체 공정을 위한 3D FDEM 기반 정적-동적 손상 순차 해석 기법 개발 (Development of a 3D FDEM-Based Static-Dynamic Sequential Damage Analysis Method for Optimal Mechanical Demolition Processes for Large-Scale Aging Structures)

  • 김경규;신찬휘;민경조;;장경필;송태협;조상호
    • 화약ㆍ발파
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    • 제42권3호
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    • pp.9-22
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    • 2024
  • 1980년대 급격한 도시화와 경제성장으로 인해 건설된 철근 콘크리트 구조물들이 노후화됨에 따라 해체 수요가 증가하고 있다. 특히 산업구조물과 같은 대규모 건축물에서는 기계식 해체공법과 발파 해체공법이 혼합된 방식이 활용되고 있다. 해체 수요의 증가에 따라 안전사고도 증가하고 있으며, 구조물 해체 시 안전성 확보가 필요한 실정이다. 본 연구에서는 드론과 LiDAR를 이용하여 실제 구조 정보를 획득하고, 이를 바탕으로 해석 모델을 구축하였다. 해석기법은 유한요소해석법(Finite Element Method, FEM)과 이산요소해석법(Discrete Element Method, DEM)을 결합한 Combined Finite-Discrete Element Method(FDEM) 해석기법을 사용하여, 해체 단계별 동적 구조 해석을 수행하였다. 이 결과를 ELS 상용 소프트웨어와 비교⋅분석하여 적용 가능성을 검토하였다.

HIGHER ORDER FULLY DISCRETE SCHEME COMBINED WITH $H^1$-GALERKIN MIXED FINITE ELEMENT METHOD FOR SEMILINEAR REACTION-DIFFUSION EQUATIONS

  • S. Arul Veda Manickam;Moudgalya, Nannan-K.;Pani, Amiya-K.
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.1-28
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    • 2004
  • We first apply a first order splitting to a semilinear reaction-diffusion equation and then discretize the resulting system by an $H^1$-Galerkin mixed finite element method in space. This semidiscrete method yields a system of differential algebraic equations (DAEs) of index one. A priori error estimates for semidiscrete scheme are derived for both differ-ential as well as algebraic components. For fully discretization, an implicit Runge-Kutta (IRK) methods is applied to the temporal direction and the error estimates are discussed for both components. Finally, we conclude the paper with a numerical example.

Experimental and numerical analysis of the global behaviour of the 1:9 scale model of the Old Bridge in Mostar

  • Kustura, Mladen;Smoljanovic, Hrvoje;Nikolic, Zeljana;Krstevska, Lidija
    • Coupled systems mechanics
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    • 제10권1호
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    • pp.1-19
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    • 2021
  • Composite nature of the masonry structures in general causes complex and non-linear behaviour, especially in intense vibration conditions. The presence of different types and forms of structural elements and different materials is a major problem for the analysis of these type of structures. For this reason, the analysis of the behaviour of masonry structures requires a combination of experimental tests and non-linear mathematical modelling. The famous UNESCO Heritage Old Bridge in Mostar was selected as an example for the analysis of the global behaviour of reinforced stone arch masonry bridges. As part of the experimental research, a model of the Old Bridge was constructed in a scale of 1:9 and tested on a shaking table platform for different levels of seismic excitation. Non-linear mathematical modelling was performed using a combined finite-discrete element method (FDEM), including the effect of connection elements. The paper presents the horizontal displacement of the top of the arch and the failure mechanism of the Old Bridge model for the experimental and the numerical phase, as well as the comparison of the results. This research provided a clearer insight into the global behaviour of stone arch masonry structures reinforced with steel clamps and steel dowels, which is significant for the structures classified as world cultural heritage.

Reinforced concrete beams under drop-weight impact loads

  • May, Ian M.;Chen, Yi;Owen, D. Roger J.;Feng, Y.T.;Thiele, Philip J.
    • Computers and Concrete
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    • 제3권2_3호
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    • pp.79-90
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    • 2006
  • This paper describes the results of an investigation into high mass-low velocity impact behaviour of reinforced concrete beams. Tests have been conducted on fifteen 2.7 m or 1.5 m span beams under drop-weight loads. A high-speed video camera has been used at rates of up to 4,500 frames per second in order to record the crack formation, propagation, particle spallation and scabbing. In some tests the strain in the reinforcement has been recorded using "Durham" strain gauged bars, a technique developed by Scott and Marchand (2000) in which the strain gauges are embedded in the bars, so that the strains in the reinforcement can be recorded without affecting the bond between the concrete and the reinforcement. The impact force acting on the beams has been measured using a load cell placed within the impactor. A high-speed data logging system has been used to record the impact load, strains, accelerations, etc., so that time histories can be obtained. This research has led to the development of computational techniques based on combined continuum/discontinuum methods (finite/discrete element methods) to permit the simulation of impact loaded reinforced concrete beams. The implementation has been within the software package ELFEN (2004). Beams, similar to those tested, have been analysed using ELFEN a good agreement has been obtained for both the load-time histories and the crack patterns.

Instability of (Heterogeneous) Euler beam: Deterministic vs. stochastic reduced model approach

  • Ibrahimbegovic, Adnan;Mejia-Nava, Rosa Adela;Hajdo, Emina;Limnios, Nikolaos
    • Coupled systems mechanics
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    • 제11권2호
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    • pp.167-198
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    • 2022
  • In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.