• 제목/요약/키워드: Multiscale Modeling

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A framework for geometrically non-linear gradient extended crystal plasticity coupled to heat conduction and damage

  • Ekh, Magnus;Bargmann, Swantje
    • Multiscale and Multiphysics Mechanics
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    • 제1권2호
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    • pp.171-188
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    • 2016
  • Gradient enhanced theories of crystal plasticity enjoy great research interest. The focus of this work is on thermodynamically consistent modeling of grain size dependent hardening effects. In this contribution, we develop a model framework for damage coupled to gradient enhanced crystal thermoplasticity. The damage initiation is directly linked to the accumulated plastic slip. The theoretical setting is that of finite strains. Numerical results on single-crystalline metal showing the development of damage conclude the paper.

광변형 고분자의 동적 진동에 관한 멀티스케일 해석 (Multiscale Analysis on Vibration of the Photo Responsive Polymer)

  • 윤정훈;;정하영;최준명;조맹효
    • 한국전산구조공학회논문집
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    • 제29권6호
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    • pp.571-575
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    • 2016
  • 광변형 고분자(PRP)는 PRP 내부에 함유된 아조벤젠(azobenzene)의 광이성질화 현상에 의해 자외선을 받을 경우 수축을 하고, 이 상태에서 적외선을 받을 경우 원래대로 돌아오는 성질을 가지고 있다. 본 논문에서는 PRP의 진동 현상에 대한 동적해석이 논의된다. PRP의 광변형 양상을 예측하기 위해 양자역학, 고분자역학, 연속체 역학을 아우르는 멀티스케일 모델링 기법이 제안된다. PRP의 동적 진동 양상을 예측하기 위해 간단한 1D 빔 모델이 사용되었으며, FFT기법을 통해 진동 주파수 해석이 진행된다. 해석 결과 빛의 입력에 따른 PRP의 진동 양상은 빛의 편광 방향에 영향을 받는다는 것을 알 수 있다.

저속충격을 받는 적층복합재료 평판의 직접 수치모사 (Direct Numerical Simulation of Composite laminates Under low velocity Impact)

  • 지국현;김승조
    • Composites Research
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    • 제19권1호
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    • pp.1-8
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    • 2006
  • 적층 복합재료에 가해지는 저속충격에 의한 동적 거동 및 손상의 예측은 복합재 구조물의 설계에 중요한 문제가 되고 있다. 특히 저속충격에 의한 손상을 기술하기 위하여 적층판 내의 면내응력 뿐만 아니라 층간응력이 중요한 역할을 하는데, 기존의 전통적인 접근 방법은 이들을 효과적으로 기술하지 못하는 단점이 있다 본 논문에서는 이러한 동적거동 및 손상을 기술하기 위한 수치해석 모델로서 내부 미시구조를 고려한 직접수치모사(DNS)방법을 이용하여 DNS 모델을 구성하였다. 그리고 이를 저속충격 문제에 적용하여 저속충격에 의한 동적 거동 및 재료내의 층간응력 해석을 미시적으로 접근하였다. 이때 기존의 거시적인 접근 방법에 따른 균질모델의 결과와 비교 해석을 보였다. 한편 복합재료 적층판의 효율적인 저속충격해석을 위하여 DNS 개념을 적용한 멀티스케일 모델을 개발하여 기존의 균질화된 모델에서 보일 수 없었던 충격 부위의 국부적인 동적 거동을 효과적으로 기술하였다.

A multiple level set method for modeling grain boundary evolution of polycrystalline materials

  • Zhang, Xinwei;Chen, Jiun-Shyan;Osher, Stanley
    • Interaction and multiscale mechanics
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    • 제1권2호
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    • pp.191-209
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    • 2008
  • In this paper, we model grain boundary evolution based on a multiple level set method. Grain boundary migration under a curvature-induced driving force is considered and the level set method is employed to deal with the resulting topological changes of grain structures. The complexity of using a level set method for modeling grain structure evolution is due to its N-phase nature and the associated geometry compatibility constraint. We employ a multiple level set method with a predictor-multicorrectors approach to reduce the gaps in the triple junctions down to the grid resolution level. A ghost cell approach for imposing periodic boundary conditions is introduced without solving a constrained problem with a Lagrange multiplier method or a penalty method. Numerical results for both uniform and random grain structures evolution are presented and the results are compared with the solutions based on a front tracking approach (Chen and Kotta et al. 2004b).

METALLIC INTERFACES IN HARSH CHEMO-MECHANICAL ENVIRONMENTS

  • Yildiz, Bilge;Nikiforova, Anna;Yip, Sidney
    • Nuclear Engineering and Technology
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    • 제41권1호
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    • pp.21-38
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    • 2009
  • The use of multi scale modeling concepts and simulation techniques to study the destabilization of an ultrathin layer of oxide interface between a metal substrate and the surrounding environment is considered. Of particular interest are chemo-mechanical behavior of this interface in the context of a molecular-level description of stress corrosion cracking. Motivated by our previous molecular dynamics simulations of unit processes in materials strength and toughness, we examine the challenges of dealing with chemical reactivity on an equal footing with mechanical deformation, (a) understanding electron transfer processes using first-principles methods, (b) modeling cation transport and associated charged defect migration kinetics, and (c) simulation of pit nucleation and intergranular deformation to initiate the breakdown of the oxide interlayer. These problems illustrate a level of multi-scale complexity that would be practically impossible to attack by other means; they also point to a perspective framework that could guide future research in the broad computational science community.

멀티스케일 모델링에 의한 복합재료 평판의 충격해석 (Impact analysis of composite plate by multiscale modeling)

  • 지국현;백승훈;김승조
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.67-70
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    • 2004
  • An investigation was performed to study the impact damage of the laminated composite plates caused by a low- velocity foreign object with multi-scale modeling based on the concepts of Direct Numerical Simulation (DNS)[4]. In the micro-scale part, we discretize the composite plates through separate modeling of fiber and matrix for the local microscopic analysis. A micro-scalemodel was developed for predicting the initiation of the damage and the extent of the final damage as a function of material properties, laminate configuration and the impactor's mass, etc. Anda macro-scale model was developed for description of global dynamic behavior. The connection betweenmicroscopic and macroscopic is implemented by the tied interface constraints of LS-DYNA contact card. A transient dynamic finite element analysis was adopted for calculating the contact force history and the stresses and strains inside the composites during impact resulting from a point-nose impactor. The low-velocity impact events such as contact force, deformation, etc. are simulated in the macroscopic sense and the impact damages, fiber-breakage, matrix cracking and delamination etc. are examined in the microscopic sense.

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Concrete fragmentation modeling using coupled finite element - meshfree formulations

  • Wu, Youcai;Choi, Hyung-Jin;Crawford, John E.
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.173-195
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    • 2013
  • Meshfree methods are known to have the capability to overcome the strict regularization requirements and numerical instabilities that encumber the finite element method (FEM) in large deformation problems. They are also more naturally suited for problems involving material perforation and fragmentation. To take advantage of the high efficiency of FEM and high accuracy of meshfree methods, a coupled finite element (FE) and reproducing kernel (RK, one of the meshfree approximations) formulation is described in this paper. The coupling of FE and RK approximation is implemented in an evolutionary fashion, where the extent and location of the evolution is dependent on a triggering criteria provided by the material constitutive laws. To enhance computational efficiency, Gauss quadrature is applied to integrate both FE and RK domains so that no state variable transfer is required when mesh conversion is performed. To control the hourglassing that might occur with 1-point integrated hexahedral grids, viscous type hourglass control is implemented. Meanwhile, the FEM version of the K&C concrete (KCC) model was modified to make it applicable in both FE and RK formulations. Results using this code and the KCC model are shown for the modeling of concrete responses under quasi-static, blast and impact loadings. These analyses demonstrate that fragmentation phenomena of the sort commonly observed under blast and impact loadings of concrete structures was able to be realistically captured by the coupled formulation.

Numerical simulation of soil-structure interaction in framed and shear-wall structures

  • Dalili, M.;Alkarni, A.;Noorzaei, J.;Paknahad, M.;Jaafar, M.S.;Huat, B.B.K.
    • Interaction and multiscale mechanics
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    • 제4권1호
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    • pp.17-34
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    • 2011
  • This paper deals with the modeling of the plane frame structure-foundation-soil system. The superstructure along with the foundation beam is idealized as beam bending elements. The soil medium near the foundation beam with stress concentrated is idealized by isoparametric finite elements, and infinite elements are used to represent the far field of the soil media. This paper presents the modeling of shear wall structure-foundation and soil system using the optimal membrane triangular, super and conventional finite elements. Particularly, an alternative formulation is presented for the optimal triangular elements aimed at reducing the programming effort and computational cost. The proposed model is applied to a plane frame-combined footing-soil system. It is shown that the total settlement obtained from the non-linear interactive analysis is about 1.3 to 1.4 times that of the non-interactive analysis. Furthermore, the proposed model was found to be efficient in simulating the shear wall-foundation-soil system, being able to yield results that are similar to those obtained by the conventional finite element method.

Two scale seismic analysis of masonry infill concrete frames through hybrid simulation

  • Cesar Paniagua Lovera;Gustavo Ayala Milian
    • Earthquakes and Structures
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    • 제24권6호
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    • pp.393-404
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    • 2023
  • This paper presents the application of hybrid-simulation-based adapter elements for the non-linear two-scale analysis of reinforced concrete frames with masonry infills under seismic-like demands. The approach provides communication and distribution of the computations carried out by two or more remote or locally distributed numerical models connected through the OpenFresco Framework. The modeling consists of a global analysis formed by macro-elements to represent frames and walls, and to reduce global degrees of freedom, portions of the structure that require advanced analysis are substituted by experimental elements and dimensional couplings acting as interfaces with their respective sub-assemblies. The local sub-assemblies are modeled by solid finite elements where the non-linear behavior of concrete matrix and masonry infill adopt a continuum damage representation and the reinforcement steel a discrete one, the conditions at interfaces between concrete and masonry are considered through a contact model. The methodology is illustrated through the analysis of a frame-wall system subjected to lateral loads comparing the results of using macro-elements, finite element model and experimental observations. Finally, to further assess and validate the methodology proposed, the paper presents the pushover analysis of two more complex structures applying both modeling scales to obtain their corresponding capacity curves.

Multiscale bending and free vibration analyses of functionally graded graphene platelet/ fiber composite beams

  • Garg, A.;Mukhopadhyay, T.;Chalak, H.D.;Belarbi, M.O.;Li, L.;Sahoo, R.
    • Steel and Composite Structures
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    • 제44권5호
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    • pp.707-720
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    • 2022
  • In the present work, bending and free vibration analyses of multilayered functionally graded (FG) graphene platelet (GPL) and fiber-reinforced hybrid composite beams are carried out using the parabolic function based shear deformation theory. Parabolic variation of transverse shear stress across the thickness of beam and transverse shear stress-free conditions at top and bottom surfaces of the beam are considered, and the proposed formulation incorporates a transverse displacement field. The present theory works only with four unknowns and is computationally efficient. Hamilton's principle has been employed for deriving the governing equations. Analytical solutions are obtained for both the bending and free vibration problems in the present work considering different variations of GPLs and fibers distribution, namely, FG-X, FG-U, FG-Λ, and FG-O for beams having simply-supported boundary condition. First, the matrix is assumed to be strengthened using GPLs, and then the fibers are embedded. Multiscale modeling for material properties of functionally graded graphene platelet/fiber hybrid composites (FG-GPL/FHRC) is performed using Halpin-Tsai micromechanical model. The study reveals that the distributions of GPLs and fibers have significant impacts on the stresses, deflections, and natural frequencies of the beam. The number of layers and shape factors widely affect the behavior of FG-GPL-FHRC beams. The multilayered FG-GPL-FHRC beams turn out to be a good approximation to the FG beams without exhibiting the stress-channeling effects.