• 제목/요약/키워드: multiscale method

검색결과 201건 처리시간 0.026초

Weak forms of generalized governing equations in theory of elasticity

  • Shi, G.;Tang, L.
    • Interaction and multiscale mechanics
    • /
    • 제1권3호
    • /
    • pp.329-337
    • /
    • 2008
  • This paper presents the derivation of the generalized governing equations in theory of elasticity, their weak forms and the some applications in the numerical analysis of structural mechanics. Unlike the differential equations in classical elasticity theory, the generalized equations of the equilibrium and compatibility equations presented here take the form of integral equations, and the generalized equilibrium equations contain the classical differential equations and the boundary conditions in a single equation. By using appropriate test functions, the weak forms of these generalized governing equations can be established. It can be shown that various variational principles in structural analysis are merely the special cases of these weak forms of generalized governing equations in elasticity. The present weak forms of elasticity equations extend greatly the choices of the trial functions for approximate solutions in the numerical analysis of various engineering problems. Therefore, the weak forms of generalized governing equations in elasticity provide a powerful modeling tool in the computational structural mechanics.

Electric double layers interactions under condition of variable dielectric permittivity

  • Payam, Amir Farrokh;Fathipour, Morteza
    • Interaction and multiscale mechanics
    • /
    • 제3권2호
    • /
    • pp.157-171
    • /
    • 2010
  • In this paper, a theoretical method has been developed for the electric double layer interaction under condition of the variable dielectric permittivity of water. Using Poisson-Boltzmann equation (PBE), for one plate and two plates having similar or dissimilar constant charge or constant potential, we have investigated the electric double layer potential, its gradient and the disjoining pressure as well as the effect of variation of dielectric permittivity on these parameters. It has been assumed that plates are separated by a specific distance and contain a liquid solution in between. It is shown that reduction of the dielectric permittivity near the interfaces results in compression of electric double layers and affects the potential and its gradient which leads to a decreased electrostatic repulsion. In addition, it is shown that variation of dielectric permittivity in the case of higher electrolyte concentration, leads to a greater change in potential distribution between two plates.

Multi-scale model for coupled piezoelectric-inelastic behavior

  • Moreno-Navarro, Pablo;Ibrahimbegovic, Adnan;Damjanovic, Dragan
    • Coupled systems mechanics
    • /
    • 제10권6호
    • /
    • pp.521-544
    • /
    • 2021
  • In this work, we present the development of a 3D lattice-type model at microscale based upon the Voronoi-cell representation of material microstructure. This model can capture the coupling between mechanic and electric fields with non-linear constitutive behavior for both. More precisely, for electric part we consider the ferroelectric constitutive behavior with the possibility of domain switching polarization, which can be handled in the same fashion as deformation theory of plasticity. For mechanics part, we introduce the constitutive model of plasticity with the Armstrong-Frederick kinematic hardening. This model is used to simulate a complete coupling of the chosen electric and mechanics behavior with a multiscale approach implemented within the same computational architecture.

시각 모델을 고려한 인지 대비 측정 및 영상품질 향상 방법에 관한 연구 (A Study on Perceived Contrast Measure and Image Quality Improvement Method Based on Human Vision Models)

  • 최종수;조희진
    • 품질경영학회지
    • /
    • 제44권3호
    • /
    • pp.527-540
    • /
    • 2016
  • Purpose: The purpose of this study was to propose contrast metric which is based on the human visual perception and thus it can be used to improve the quality of digital images in many applications. Methods: Previous literatures are surveyed, and then the proposed method is modeled based on Human Visual System(HVS) such as multiscale property of the contrast sensitivity function (CSF), contrast constancy property (suprathreshold), color channel property. Furthermore, experiments using digital images are shown to prove the effectiveness of the method. Results: The results of this study are as follows; regarding the proposed contrast measure of complex images, it was found by experiments that HVS follows relatively well compared to the previous contrast measurement. Conclusion: This study shows the effectiveness on how to measure the contrast of complex images which follows human perception better than other methods.

A multisource image fusion method for multimodal pig-body feature detection

  • Zhong, Zhen;Wang, Minjuan;Gao, Wanlin
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제14권11호
    • /
    • pp.4395-4412
    • /
    • 2020
  • The multisource image fusion has become an active topic in the last few years owing to its higher segmentation rate. To enhance the accuracy of multimodal pig-body feature segmentation, a multisource image fusion method was employed. Nevertheless, the conventional multisource image fusion methods can not extract superior contrast and abundant details of fused image. To superior segment shape feature and detect temperature feature, a new multisource image fusion method was presented and entitled as NSST-GF-IPCNN. Firstly, the multisource images were resolved into a range of multiscale and multidirectional subbands by Nonsubsampled Shearlet Transform (NSST). Then, to superior describe fine-scale texture and edge information, even-symmetrical Gabor filter and Improved Pulse Coupled Neural Network (IPCNN) were used to fuse low and high-frequency subbands, respectively. Next, the fused coefficients were reconstructed into a fusion image using inverse NSST. Finally, the shape feature was extracted using automatic threshold algorithm and optimized using morphological operation. Nevertheless, the highest temperature of pig-body was gained in view of segmentation results. Experiments revealed that the presented fusion algorithm was able to realize 2.102-4.066% higher average accuracy rate than the traditional algorithms and also enhanced efficiency.

효율적인 유체 시뮬레이션을 위한 FLIP과 레벨셋의 적응형 혼합 기법 (An Adaptive FLIP-Levelset Hybrid Method for Efficient Fluid Simulation)

  • 임재광;김봉준;홍정모
    • 한국컴퓨터그래픽스학회논문지
    • /
    • 제19권3호
    • /
    • pp.1-11
    • /
    • 2013
  • FLIP 기반의 유체 시뮬레이션은 품질에 대비 높은 효율을 자랑하기 때문에 Visual Effect(VFX)산업에 널리 사용되고 있다. FLIP 기술에서는 바다와 같은 대규모의 물을 시뮬레이션 할 때 시각적으로 중요하지 않은 물의 안쪽까지도 파티클을 할당해야 하기 때문에 보이는 파티클보다 보이지 않는 파티클의 개수가 훨씬 많은 경우에는 시뮬레이션 작업의 효율성이 떨어진다. 본 논문에서는 이러한 단점을 보완하기 위하여 레벨셋 (Level Set)과 Fluid Implicit Particle(FLIP) 기반의 유체 시뮬레이션 기법을 혼합(hybrid)한 효율적인 유체 시뮬레이션 기법을 제안한다. 파티클들을 물의 안쪽 표면 근처의 얇은 층에만 배치함으로써 사용되는 파티클의 갯수를 줄여서 결과적으로 시뮬레이션의 효율성을 크게 높일 수 있었다. 또한 [1]의 표면 재구성 기법과 moving least squares(MLS) [2] 기법을 결합한 새로운 유체 표면 재구성 기법을 적용하여 FLIP을 통해 격자(Grid) 기반 시뮬레이션에서 발생하는 수치적 소실을 줄이고 동시에 유체의 부드러운 표면을 유지할 수 있다. 본 논문의 혼합 시뮬레이션 기술은 높은 품질의 유체 시뮬레이션을 효율적으로 수행하여 다양한 규모의 유체를 표현할 수 있었다.

The statistical two-order and two-scale method for predicting the mechanics parameters of core-shell particle-filled polymer composites

  • Han, Fei;Cui, Junzhi;Yu, Yan
    • Interaction and multiscale mechanics
    • /
    • 제1권2호
    • /
    • pp.231-250
    • /
    • 2008
  • The statistical two-order and two-scale method is developed for predicting the mechanics parameters, such as stiffness and strength of core-shell particle-filled polymer composites. The representation and simulation on meso-configuration of random particle-filled polymers are stated. And the major statistical two-order and two-scale analysis formulation is briefly given. The two-order and two-scale expressions for the strains and stresses of conventionally strength experimental components, including the tensional or compressive column, the twist bar and the bending beam, are developed by means of their classical solutions with orthogonal-anisotropic coefficients. Then a new effective mesh generation algorithm is presented. The mechanics parameters of core-shell particle-filled polymer composites, including the expected stiffness parameters, minimum stiffness parameters, and the expected elasticity limit strength and the minimum elasticity limit strength, are defined by means of the stiffness coefficients and elasticity strength criterions for core, shell and matrix. Finally, the numerical results for predicting both stiffness and elasticity limit strength parameters are compared with the experimental data.

Partitioned analysis of nonlinear soil-structure interaction using iterative coupling

  • Jahromi, H. Zolghadr;Izzuddin, B.A.;Zdravkovic, L.
    • Interaction and multiscale mechanics
    • /
    • 제1권1호
    • /
    • pp.33-51
    • /
    • 2008
  • This paper investigates the modelling of coupled soil-structure interaction problems by domain decomposition techniques. It is assumed that the soil-structure system is physically partitioned into soil and structure subdomains, which are independently modelled. Coupling of the separately modelled partitioned subdomains is undertaken with various algorithms based on the sequential iterative Dirichlet-Neumann sub-structuring method, which ensures compatibility and equilibrium at the interface boundaries of the subdomains. A number of mathematical and computational characteristics of the coupling algorithms, including the convergence conditions and choice of algorithmic parameters leading to enhanced convergence of the iterative method, are discussed. Based on the presented coupling algorithms a simulation environment, utilizing discipline-oriented solvers for nonlinear structural and geotechnical analysis, is developed which is used here to demonstrate the performance characteristics and benefits of various algorithms. Finally, the developed tool is used in a case study involving nonlinear soil-structure interaction analysis between a plane frame and soil subjected to ground excavation. This study highlights the relative performance of the various considered coupling algorithms in modelling real soil-structure interaction problems, in which nonlinearity arises in both the structure and the soil, and leads to important conclusions regarding their adequacy for such problems as well as the prospects for further enhancements.

절점 비활성화 기법을 적용한 나노-연속체 멀티스케일 해석 기법 (Nano-continuum multi scale analysis using node deactivation techniques)

  • 이승윤;조맹효
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
    • /
    • pp.395-402
    • /
    • 2006
  • In analyzing the nano-scale phenomena or behaviors of nano devices or materials, it is often desirable to deal with more atoms than can be treated only with a full atomistic simulation. However, even now, it is advisable to apply the atomistic simulation to the narrow region where the deformation field changes rapidly but to apply the conventional continuum model to the region far from that region. This equivalent continuum model can be formulated by applying the Cauchy-Born rule to the exact atomistic potential as in the quasicontinuum method. To couple the atomistic model with the equivalent continuum model, continuum displacements are conformed to the molecular displacements at the discrete positions of the atoms within the bridging domain. To satisfy the coupling constraints, we apply the Lagrange multiplier method. The continuum model in the bridging model should be applied on the region where the deformation field changes gradually. Then we can make the nodal spacing in the continuum model be much larger than the atomic spacing. In the first step, we generate the atomic-resolution mesh with the nodal spacing equal to the atomic spacing, and then we eliminate the nodal degrees of freedom adaptively using the node deactivation techniques. We eliminate more DOFs as the regions are more far from the atomistic region. Computing time and computational resources can be greatly reduced by the present node deactivation technique in multi scale analysis.

  • PDF

연속체 이론을 기반으로 한 나노 허니콤 구조물의 탄성 거동 예측 (The Prediction of Elastic Behavior of the Nano-Sized Honeycombs Based on the Continuum Theory)

  • 이용희;정준호;조맹효
    • 한국전산구조공학회논문집
    • /
    • 제24권4호
    • /
    • pp.413-419
    • /
    • 2011
  • 나노 크기의 허니콤 구조물은 거시적 크기의 허니콤 구조물에 비해 보다 높은 부피 대비 표면적 비율을 구현하여 전기적, 화학적인 촉매로써 기능성을 극대화할 수 있다. 나노 크기의 구조물은 거시적 크기의 구조물과 다른 기계적 거동양상을 보이며 이는 표면효과에 기인한다. 이러한 표면효과는 원자 수준 전산모사(atomistic simulation)를 통해 규명할 수 있으나 나노 허니콤 구조물의 거동을 예측하는 것은 현실적으로 과도한 전산자원 및 계산시간으로 인해 불가능한 실정이다. 본 연구에서는 표면응력 탄성모델을 적용한 브리징방법을 균질화기법과 연계하여 나노 크기의 허니콤 구조물의 기계적 거동을 효율적으로 예측하였다.