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  • Open Access

    ARTICLE

    An Advanced ACA/BEM for Solving 2D Large-Scale Elastic Problems with Multi-Connected Domains

    T. Gortsas1, S.V. Tsinopoulos2, D. Polyzos1,3

    CMES-Computer Modeling in Engineering & Sciences, Vol.107, No.4, pp. 321-343, 2015, DOI:10.3970/cmes.2015.107.321

    Abstract An advanced Boundary Element method (BEM) accelerated via Adaptive Cross Approximation (ACA) and Hierarchical Matrices (HM) techniques is presented for the solution of large-scale elastostatic problems with multi-connected domains like in fiber reinforced composite materials. Although the proposed ACA/ BEM is demonstrated for two-dimensional (2D) problems, it is quite general and it can be used for 3D problems. Different forms of ACA technique are employed for exploring their efficiency when they combined with a BEM code. More precisely, the fully and partially pivoted ACA with and without recompression are utilized, while the solution of the More >

  • Open Access

    ARTICLE

    Elastodynamic Analysis of Thick Multilayer Composite Plates by The Boundary Element Method

    J. Useche1, H. Alvarez1

    CMES-Computer Modeling in Engineering & Sciences, Vol.107, No.4, pp. 277-296, 2015, DOI:10.3970/cmes.2015.107.277

    Abstract Dynamic stress analysis of laminated composites plates represents a relevant task in designing of aerospace, shipbuilding and automotive components where impulsive loads can lead to sudden structural failure. The mechanical complexity inherent to these kind of components makes the numerical modeling an essential engineering analysis tool. This work deals with dynamic analysis of stresses and deformations in laminated composites thick plates using a new Boundary Element Method formulation. Composite laminated plates were modeled using the Reissner’s plate theory. We propose a direct time-domain formulation based on elastostatic fundamental solution for symmetrical laminated thick plates. Formulation More >

  • Open Access

    ARTICLE

    Numerical Investigation of a Hybrid Wave Absorption Method in 3D Numerical Wave Tank

    Chengxi Li1

    CMES-Computer Modeling in Engineering & Sciences, Vol.107, No.2, pp. 125-153, 2015, DOI:10.3970/cmes.2015.107.125

    Abstract Applying an efficient numerical wave absorption method is very important for realization of an open sea condition especially for long time numerical fluid structure interaction simulation. This paper proposed a hybrid numerical wave absorption method for the fully nonlinear fluid structure simulation. A numerical code “QBEM” which is based on the quadratic boundary element method is applied to evaluate the efficiency of the wave absorption methods and damping schemes by checking the energy conservation and wave elevation in the computational domain. Specifically, we conduct a 3D numerical wave tank experiment to find the bestperforming damping More >

  • Open Access

    ARTICLE

    A Parallel Boundary Element Formulation for Tracking Multiple Particle Trajectories in Stoke’s Flow for Microfluidic Applications

    Z. Karakaya1, B. Baranoğlu2, B. Çetin3, A. Yazici4

    CMES-Computer Modeling in Engineering & Sciences, Vol.104, No.3, pp. 227-249, 2015, DOI:10.3970/cmes.2015.104.227

    Abstract A new formulation for tracking multiple particles in slow viscous flow for microfluidic applications is presented. The method employs the manipulation of the boundary element matrices so that finally a system of equations is obtained relating the rigid body velocities of the particle to the forces applied on the particle. The formulation is specially designed for particle trajectory tracking and involves successive matrix multiplications for which SMP (Symmetric multiprocessing) parallelisation is applied. It is observed that present formulation offers an efficient numerical model to be used for particle tracking and can easily be extended for More >

  • Open Access

    ARTICLE

    Nonlinear Panel Flutter Analysis Based on an Improved CFD/CSD Coupled Procedure

    Xiaomin An1, Min Xu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.98, No.6, pp. 601-629, 2014, DOI:10.3970/cmes.2014.098.601

    Abstract Nonlinear aeroelasticity, caused by the interaction between nonlinear fluid and geometrically nonlinear structure, is studied by an improved CFD and CSD coupled program. An AUSMpw+ flux splitting scheme, combined with an implicit time marching technology and geometric conservation law, is utilized to solve unsteady aerodynamic pressure; The finite element co-rotational theory is applied to model geometrically nonlinear two-dimensional and three-dimensional panels, and a predictor-corrector program with an approximately energy conservation is developed to obtain nonlinear structure response. The two solvers are connected by Farhat’s second order loosely coupled method and the aerodynamic loads and structural More >

  • Open Access

    ARTICLE

    Geometrically Nonlinear Inelastic Analysis of Timoshenko Beams on Inelastic Foundation

    A.E. Kampitsis1, E.J. Sapountzakis2

    CMES-Computer Modeling in Engineering & Sciences, Vol.103, No.6, pp. 367-409, 2014, DOI:10.3970/cmes.2014.103.367

    Abstract In this paper a Boundary Element Method (BEM) is developed for the geometrically nonlinear inelastic analysis of Timoshenko beams of arbitrary doubly symmetric simply or multiply connected constant cross-section, resting on inelastic tensionless Winkler foundation. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading, while its edges are subjected to the most general boundary conditions. To account for shear deformations, the concept of shear deformation coefficients is used. A displacement based formulation is developed and inelastic redistribution More >

  • Open Access

    ARTICLE

    Voxel-based Analysis of Electrostatic Fields in Virtual-human Model Duke using Indirect Boundary Element Method with Fast Multipole Method

    S. Hamada1

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.5, pp. 407-424, 2014, DOI:10.3970/cmes.2014.102.407

    Abstract The voxel-based indirect boundary element method (IBEM) combined with the Laplace-kernel fast multipole method (FMM) is capable of analyzing relatively large-scale problems. A typical application of the IBEM is the electric field analysis in virtual-human models such as the model called Duke provided by the foundation for research on information technologies in society (IT’IS Foundation). An important property of voxel-version Duke models is that they have various voxel sizes but the same structural feature. This property is useful for examining the O(N) and O(D2) dependencies of the calculation times and the amount of memory required by More >

  • Open Access

    ARTICLE

    An Improved Isogeometric Boundary Element Method Approach in Two Dimensional Elastostatics

    Vincenzo Mallardo1, Eugenio Ruocco2

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.5, pp. 373-391, 2014, DOI:10.3970/cmes.2014.102.373

    Abstract The NURBS based isogeometric analysis offers a novel integration between the CAD and the numerical structural analysis codes due to its superior capacity to describe accurately any complex geometry. Since it was proposed in 2005, the approach has attracted rapidly growing research interests and wide applications in the Finite Element context. Only recently, in 2012, it was successfully tested together with the Boundary Element Method. The combination of the isogeometric approach and the Boundary Element Method is efficient since both the NURBS geometrical representation and the Boundary Element Method deal with quantities entirely on the More >

  • Open Access

    ARTICLE

    Analysis of 3D Anisotropic Solids Using Fundamental Solutions Based on Fourier Series and the Adaptive Cross Approximation Method

    R. Q. Rodríguez1,2, C. L. Tan2, P. Sollero1, E. L. Albuquerque3

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.5, pp. 359-372, 2014, DOI:10.3970/cmes.2014.102.359

    Abstract The efficient evaluation of the fundamental solution for 3D general anisotropic elasticity is a subject of great interest in the BEM community due to its mathematical complexity. Recently, Tan, Shiah, andWang (2013) have represented the algebraically explicit form of it developed by Ting and Lee (Ting and Lee, 1997; Lee, 2003) by a computational efficient double Fourier series. The Fourier coefficients are numerically evaluated only once for a specific material and are independent of the number of field points in the BEM analysis. This work deals with the application of hierarchical matrices and low rank More >

  • Open Access

    ARTICLE

    A (Constrained) Microstretch Approach in Living Tissue Modeling: a Numerical Investigation Using the Local Point Interpolation – Boundary Element Method

    Jean-Philippe Jehl1, Richard Kouitat Njiwa2

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.5, pp. 345-358, 2014, DOI:10.3970/cmes.2014.102.345

    Abstract Extended continuum mechanical approaches are now becoming increasingly popular for modeling various types of microstructured materials such as foams and porous solids. The potential advantages of the microcontinuum approach are currently being investigated in the field of biomechanical modeling. In this field, conducting a numerical investigation of the material response is evidently of paramount importance. This study sought to investigate the potential of the (constrained) microstretch modeling method. The problem’s field equations have been solved by applying a numerical approach combining the conventional isotropic boundary elements method with local radial point interpolation. Our resulting numerical More >

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