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  • Open Access

    ARTICLE

    Mixed-mode Fracture Mechanics Analysis of Large-scale Cracked Structures Using Partitioned Iterative Coupling Method

    Yasunori Yusa1, Shinobu Yoshimura1

    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 445-461, 2013, DOI:10.3970/cmes.2013.091.445

    Abstract For large-scale fracture mechanics simulation, a partitioned iterative coupling method is investigated. In this method, an analysis model is decomposed into two domains, which are analyzed separately. A crack is introduced in one small domain, whereas the other large domain is a simple elastic body. Problems concerning fracture mechanics can be treated only in the small domain. In order to satisfy both geometric compatibility and equilibrium on the domain boundary, the two domains are analyzed repeatedly using an iterative solution technique. A benchmark analysis was performed in order to validate the method and evaluate its More >

  • Open Access

    ARTICLE

    Characterization and modeling of the multiscale pore structures for porous materials

    X.F. Guan1, X. Liu2, J.Z. Cui3

    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 425-444, 2013, DOI:10.3970/cmes.2013.091.425

    Abstract In this paper, a stochastic geometrical modeling method for reconstructing three dimensional multiscale pore structures of porous materials is presented. In this method, the pore structure in porous materials is represented by a random but spatially correlated pore-network, in which the results of the Mercury Intrusion Porosimetry (MIP) experiment are used as the basic input information. Beside that, based on the Monte Carlo techniques, an effective computer generation algorithm is developed, and the quantities to evaluate the properties of porous materials are defined and described. Furthermore, numerical implementations are conducted based on experimental data afterwards. More >

  • Open Access

    ARTICLE

    Local strong form meshless method on multiple Graphics Processing Units

    G. Kosec1,2, P. Zinterhof3

    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.5, pp. 377-396, 2013, DOI:10.3970/cmes.2013.091.377

    Abstract This paper deals with the implementation of the local meshless numerical method (LMM) on general purpose graphics processing units (GPU) in solving partial differential equations (PDE). The local meshless solution procedure is formulated in a way suitable for parallel execution and has been implemented on multiple GPUs. The implementation is tested on a solution of diffusion equation in a 2D domain. Different setups of the meshless approach regarding the selection of basis functions are tested on an interval up to 2.5 million of computational points. It is shown that monomials are a good selection of More >

  • Open Access

    ARTICLE

    Dam-break model with Characteristic-Based Operator-Splitting Finite Element Method

    Da-guo Wang1,2, Leslie-George Tham2, Qing-xiang Shui1

    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.5, pp. 355-376, 2013, DOI:10.3970/cmes.2013.091.355

    Abstract A finite element method, which is the characteristic-based operatorsplitting (CBOS) algorithm, is adopted to solve unsteady incompressible Navier- Stokes (N-S) equations. In each time step, the equations are split into the diffusive part and the convective part. The convective part is discretized using the characteristic Galerkin method and solved explicitly. The moving interface is captured by the pseudo-concentration method, thus, a new dam-break model is established. Through the validation of a dam-break onto a downstream dry bed or wet bed, it is shown that the present model can accurately simulate the moving interface flows. We More >

  • Open Access

    ARTICLE

    Multiple-damage detection using the best achievable flexibility change

    Q.W.Yang1, J.K.Liu2, C.H. Li3

    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.4, pp. 313-335, 2013, DOI:10.3970/cmes.2013.091.313

    Abstract A method based on best achievable flexibility change is presented in this paper to localize and quantify multiple damages in structures. The key process of the damage localization approach is the computation of the Euclidean distances between the measured flexibility change and the best achievable flexibility changes. The location of damage can be identified by searching for a value that is considerably smaller than others in these distances. For the multiple-damage case, a sequential damage localization approach is proposed to locate the damage sites one by one. With the suspected damaged elements determined, the flexibility More >

  • Open Access

    ARTICLE

    Richardson Extrapolation Method for Singularly Perturbed Convection-Diffusion Problems on Adaptively Generated Mesh

    Pratibhamoy Das1, Srinivasan Natesan2

    CMES-Computer Modeling in Engineering & Sciences, Vol.90, No.6, pp. 463-485, 2013, DOI:10.3970/cmes.2013.090.463

    Abstract Adaptive mesh generation has become a valuable tool for the improvements of accuracy and efficiency of numerical solutions over fixed number of meshes. This paper gives an interpretation of the concept of equidistribution for singularly perturbed problems to obtain higher-order accuracy. We have used the post-processing Richardson extrapolation technique to improve the accuracy of the parameter uniform computed solution, obtained on a mesh which is adaptively generated by equidistributing a monitor function. Numerical examples demonstrate the high quality behavior of the computed solution. More >

  • Open Access

    ARTICLE

    Numerical solution of nonlinear fractional integral differential equations by using the second kind Chebyshev wavelets

    Yiming Chen1, Lu Sun1, Xuan Li1, Xiaohong Fu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.90, No.5, pp. 359-378, 2013, DOI:10.3970/cmes.2013.090.359

    Abstract By using the differential operator matrix and the product operation matrix of the second kind Chebyshev wavelets, a class of nonlinear fractional integral-differential equations is transformed into nonlinear algebraic equations, which makes the solution process and calculation more simple. At the same time, the maximum absolute error is obtained through error analysis. It also can be used under the condition that no exact solution exists. Numerical examples verify the validity of the proposed method. More >

  • Open Access

    ARTICLE

    A Three-Dimensional Constitutive Equation And Finite Element Method Implementation for Shape Memory Polymers

    Guanghui Shi1, Qingsheng Yang1,2, Xiaoqiao He3,4, Kim Meow Liew3

    CMES-Computer Modeling in Engineering & Sciences, Vol.90, No.5, pp. 339-358, 2013, DOI:10.3970/cmes.2013.090.339

    Abstract In order to describe the thermomechanical deformation and shape memory effect of shape memory polymers (SMPs), a three-dimensional thermomechanical constitutive model that considers elastic, viscoelastic strain and thermal expansion is proposed for isotropic SMPs. A three-dimensional finite element procedure is developed by implementing the proposed constitutive model into the user material subroutine (UMAT) in ABAQUS program. Numerical examples are used to compare it with existing experimental data in a one dimensional case and to demonstrate the thermomechanical behavior of SMPs with 3D deformation. It is shown that the present constitutive theory and the finite element More >

  • Open Access

    ARTICLE

    Multi-Objective Optimization of a Fluid Structure Interaction Benchmarking

    M. Razzaq1, C. Tsotskas2, S. Turek1, T. Kipouros2, M. Savill2, J. Hron3

    CMES-Computer Modeling in Engineering & Sciences, Vol.90, No.4, pp. 303-337, 2013, DOI:10.3970/cmes.2013.090.303

    Abstract The integration and application of a new multi-objective tabu search optimization algorithm for Fluid Structure Interaction (FSI) problems are presented. The aim is to enhance the computational design process for real world applications and to achieve higher performance of the whole system for the four considered objectives. The described system combines the optimizer with a well established FSI solver which is based on the fully implicit, monolithic formuFlation of the problem in the Arbitrary Lagrangian-Eulerian FEM approach. The proposed solver resolves the proposed fluid-structure interaction benchmark which describes the self-induced elastic deformation of a beam More >

  • Open Access

    ARTICLE

    A Scalar Homotopy Method with Optimal Hybrid Search Directions for Solving Nonlinear Algebraic Equations

    Weichung Yeih1,2, Cheng-Yu Ku1,2,3, Chein-Shan Liu4, I-Yao Chan1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.90, No.4, pp. 255-282, 2013, DOI:10.3970/cmes.2013.090.255

    Abstract In this paper, a scalar homotopy method with optimal hybrid search directions for solving nonlinear algebraic equations is proposed. To conduct the proposed method, we first convert the vector residual function to a scalar function by taking the square norm of the vector function and then, introduce a fictitious time variable to form a scalar homotopy function. To improve the convergence and the accuracy of the proposed method, a vector with multiple search directions and an iterative algorithm are introduced into the evolution dynamics of the solutions. Further, for obtaining the optimal search direction, linear… More >

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