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  • Open Access

    ARTICLE

    Comparison of the Fast Multipole Method with Hierarchical Matrices for the Helmholtz-BEM

    D. Brunner1, M. Junge1, P. Rapp1, M. Bebendorf2, L. Gaul1

    CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.2, pp. 131-160, 2010, DOI:10.3970/cmes.2010.058.131

    Abstract The simulation of the hydroacoustic sound radiation of ship-like structures has an ever-growing importance due to legal regulations. Using the boundary element method, the overall dimension of the problem is reduced and only integrals over surfaces have to be considered. Additionally, the Sommerfeld radiation condition is automatically satisfied by proper choice of the fundamental solution. However, the resulting matrices are fully populated and the set-up time and memory consumption scale quadratically with respect to the degrees of freedom. Different fast boundary element methods have been introduced for the Helmholtz equation, resulting in a quasilinear complexity.… More >

  • Open Access

    ARTICLE

    An Explicit Numerical Modeling of Soft Body Impact Damage in Metallic Airplane Structures

    I. Smojver1, D. Ivancevic1, D. Mihaljevic2

    CMES-Computer Modeling in Engineering & Sciences, Vol.70, No.2, pp. 191-216, 2010, DOI:10.3970/cmes.2010.070.191

    Abstract This paper tackles the problem of numerical prediction of bird strike induced damage in real aeronautical structures using highly detailed finite element models and modern numerical approaches. Due to the complexity of today's aeronautical structures, numerical damage prediction methods have to be able to take into account various failure and degradation models of different materials. The work presented in this paper is focused on damage modeling in metallic items of aeronautical structures.
    Abaqus/Explicit has been employed to perform geometrical and material nonlinear transient dynamic analyses. The problem of soft body impacts has been tackled by applying… More >

  • Open Access

    ARTICLE

    Development of Intrinsic Formulation of W.-Z. Chien of the Geometrically Nonlinear Theory of Thin Elastic Shells

    W. Pietraszkiewicz1

    CMES-Computer Modeling in Engineering & Sciences, Vol.70, No.2, pp. 153-190, 2010, DOI:10.3970/cmes.2010.070.153

    Abstract Chien Wei-Zhang (1944) derived three equilibrium equations and three compatibility conditions of the nonlinear theory of thin, isotropic elastic shells entirely in terms of the surface stress and strain measures associated with the shell base surface. This allowed Him to divide the complex boundary value problem (BVP) of nonlinear shell analysis into two disjoint and supposedly simpler steps: I) finding the surface stress and strain measures from the intrinsic BVP, and II) establishing position in space of the deformed base surface from already known surface strain measures. In the present paper some achievements of this… More >

  • Open Access

    ARTICLE

    Mesh Effects in Predictions of Progressive Damage in 3D Woven Composites

    R. Valisetty1,2, A. Rajendran1,3, D. Grove2

    CMES-Computer Modeling in Engineering & Sciences, Vol.60, No.1, pp. 41-72, 2010, DOI:10.3970/cmes.2010.060.041

    Abstract A multi-scale model exhibiting progressive damage is considered for a 3D-woven composite. It is based on the evolution of some fundamental damage modes in a representative volume element (RVE) of a composite's woven architecture. The overall response of a woven composite due to a variety of damage modes is computationally obtained through a transformation field analysis (TFA) that is capable of quantifying the effects of spatial distribution of micro stresses and strains on strength. Since the model is computationally intensive, its numerical requirements are to be understood before it can successfully be used in design More >

  • Open Access

    ARTICLE

    High Velocity Impact Simulation of Brittle Materials with Node Separation Scheme in Parallel Computing Environment

    Ji Joong Moon1, Seung Jo Kim1, Minhyung Lee2

    CMES-Computer Modeling in Engineering & Sciences, Vol.59, No.3, pp. 275-300, 2010, DOI:10.3970/cmes.2010.059.275

    Abstract This paper describes the parallelization of contact/impact simulation for fracture modeling of brittle materials using a node separation scheme (NSS). We successfully demonstrated the fracture modeling of brittle materials using a cohesive fracture model. Since a NSS continuously generates new free surfaces as the computation progresses, the methodology requires increased computational time. To perform a simulation within a reasonable time period, a parallelization study is conducted. Particular methods for effective parallelization, especially for brittle materials, are described in detail. The crucial and most difficult strategy is the management of the data structure and communication needed More >

  • Open Access

    ARTICLE

    A Comparative Study of Global and Local Meshless Methods for Diffusion-Reaction Equation

    Guangming Yao1, Siraj-ul-Islam2, Božidar Šarler2

    CMES-Computer Modeling in Engineering & Sciences, Vol.59, No.2, pp. 127-154, 2010, DOI:10.3970/cmes.2010.059.127

    Abstract This paper focuses on the comparative study of global and local meshless methods based on collocation with radial basis functions for solving two dimensional initial boundary value diffusion-reaction problem with Dirichlet and Neumann boundary conditions. A similar study was performed for the boundary value problem with Laplace equation by Lee, Liu, and Fan (2003). In both global and local methods discussed, the time discretization is performed in explicit and implicit way and the multiquadric radial basis functions (RBFs) are used to interpolate diffusion-reaction variable and its spatial derivatives. Five and nine nodded sub-domains are used… More >

  • Open Access

    ARTICLE

    Analytical Solution for Single and Multiple impacts with Strain-rate Effects for Shot Peening

    Baskaran Bhuvaraghan1, Sivakumar M Srinivasan2, Bob Maffeo3, Om Prakash4

    CMES-Computer Modeling in Engineering & Sciences, Vol.57, No.2, pp. 137-158, 2010, DOI:10.3970/cmes.2010.057.137

    Abstract Shot peening is a complex and random process which is controlled by many input parameters. Numerical methods, which are normally used for impact problems will prohibitively put strain on the computing resources since a large number of impacts are involved in the computations. In this paper, a simplified analytical approach is used to predict the residual compressive stress that includes strain-rate effects. This is based on the method proposed by with a simple modification to include the strain rate effects. The residual stresses are predicted in materials SAE1070 and Inco718. In the computations, the random More >

  • Open Access

    ARTICLE

    MLPG Method Based on Rankine Source Solution for Modelling 3D Breaking Waves

    J.T. Zhou1, Q.W. Ma1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.56, No.2, pp. 179-210, 2010, DOI:10.3970/cmes.2010.056.179

    Abstract In this paper, the Meshless Local Petrov-Galerkin method based on Rankine source solution (MLPG_R) is further developed to model 3D breaking waves. For this purpose, the technique for identifying free surface particles called Mixed Particle Number Density and Auxiliary Function Method (MPAM) and the semi-analytical technique for estimating the domain integrals for 2D cases are extended to 3D cases. In addition, a new semi-analytical technique is developed to deal with the local spherical surface integrals. The numerical results obtained by the newly developed method will be compared with experimental data available in literature and satisfactory More >

  • Open Access

    ARTICLE

    An Object-Oriented MPM Framework for Simulation of Large Deformation and Contact of Numerous Grains

    Z. T. Ma1, X. Zhang1,2, P. Huang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.55, No.1, pp. 61-88, 2010, DOI:10.3970/cmes.2010.055.061

    Abstract The Material Point Method (MPM) is more expensive in terms of storage than other methods, as MPM makes use of both mesh and particle data. Therefore, it is critical to develop an efficient MPM framework for engineering applications, such as impact and explosive simulations. This paper presents a new architecture for MPM computer code, developed using object-oriented design, which enables MPM analysis of a mass of grains, large deformation, high strain rates and complex material behavior. It is flexible, extendible, and easily modified for a variety of MPM analysis procedures. An MPM scheme combining contact More >

  • Open Access

    ARTICLE

    Inclination Impact on the Mass Transfer Process Resulting from the Interaction of Twin Tandem Jets with a Crossflow

    A. Radhouane1, N. Mahjoub Said1, H. Mhiri1, G. Le Palec2, P. Bournot2

    FDMP-Fluid Dynamics & Materials Processing, Vol.6, No.4, pp. 385-398, 2010, DOI:10.3970/fdmp.2010.006.385

    Abstract "Twin jets in crossflow" is a complex configuration that raises an increasing interest due to its presence in various common applications such as chimney stacks, film cooling, VSTOL aircrafts, etc... In the present paper, the twin jets were arranged inline with an oncoming crossflow;they were also inclined which resulted in similar elliptic cross sections of the nozzles' exits. The exploration of the flows in interaction was carried out numerically by means of the finite volume method together with the second order turbulent closure model, namely the Reynolds stress Model (RSM), and a non uniform grid… More >

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