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  • Open Access


    Direct FE2 Method For Concurrent Multilevel Modeling of Piezoelectric Structures

    Leilei Chen2,3, Haozhi Li3,4, Lu Meng5, Pan Chen3, Pei Li1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.4, pp. 1-2, 2023, DOI:10.32604/icces.2023.010584

    Abstract In this paper, a Direct FE2 method is proposed to simulate the electromechanical coupling problem of inhomogeneous materials. The theoretical foundation for the proposed method, downscaling and upscaling principles, is the same as that of the FE2 method. The two-level simulation in the Direct FE2 method may be addressed in an integrative framework where macroscopic and microscopic degrees of freedom (DOFs) are related by multipoint constraints (MPCs) [1]. This critical characteristic permits simple implementation in commercial FE software, eliminating the necessity for recurrent data transfer between two scales [2-4]. The capabilities of Direct FE2 are validated using four numerical examples,… More >

  • Open Access


    Coupling VEM and BEM for computational homogenization of composite materials

    Marco Lo Cascio1, Marco Grifò1, Alberto Milazzo1, Ivano Benedetti1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.23, No.1, pp. 13-13, 2021, DOI:10.32604/icces.2021.08335

    Abstract The Virtual Element Method (VEM) [1] is a recent numerical technique that is capable of dealing with very general polygonal and polyhedral mesh elements, including irregular or non-convex ones. Because of this feature, the VEM ensures noticeable simplification in the data preparation stage of the analysis, especially for problems whose analysis domain features complex geometries, as in the case of computational micromechanics problems [2]. The Boundary Element Method (BEM) [3] is a well-known, extensively used and efficient numerical technique that has been successfully employed for the computational homogenization of materials with complex morphologies [4]. Due to its underlying formulation, the… More >

  • Open Access


    Multi-Scale Analysis of Fretting Fatigue in Heterogeneous Materials Using Computational Homogenization

    Dimitra Papagianni1, 2, Magd Abdel Wahab3, 4, *

    CMC-Computers, Materials & Continua, Vol.62, No.1, pp. 79-97, 2020, DOI:10.32604/cmc.2020.07988

    Abstract This paper deals with modeling of the phenomenon of fretting fatigue in heterogeneous materials using the multi-scale computational homogenization technique and finite element analysis (FEA). The heterogeneous material for the specimens consists of a single hole model (25% void/cell, 16% void/cell and 10% void/cell) and a four-hole model (25% void/cell). Using a representative volume element (RVE), we try to produce the equivalent homogenized properties and work on a homogeneous specimen for the study of fretting fatigue. Next, the fretting fatigue contact problem is performed for 3 new cases of models that consist of a homogeneous and a heterogeneous part (single… More >

  • Open Access


    A Multiscale Method for Damage Analysis of Quasi-Brittle Heterogeneous Materials

    Filip Putar1, Jurica Sorić1,*, Tomislav Lesičar1, Zdenko Tonković1

    CMES-Computer Modeling in Engineering & Sciences, Vol.120, No.1, pp. 123-156, 2019, DOI:10.32604/cmes.2019.06562

    Abstract A novel multiscale algorithm based on the higher-order continuum at both micro- and macrostructural level is proposed for the consideration of the quasi-brittle damage response of heterogeneous materials. Herein, the microlevel damage is modelled by the degradation of the homogenized stress and tangent stiffness tensors, which are then upscaled to govern the localization at the macrolevel. The C1 continuity finite element employing a modified case of Mindlin’s form II strain energy density is derived for the softening analysis. To the authors’ knowledge, the finite element discretization based on the strain gradient theory is applied for the modeling of damage evolution… More >

  • Open Access


    Particle-Based Moving Interface Method for The Study of the Interaction Between Soft Colloid Particles and Immersed Fibrous Network

    Louis C. Foucard1, John Pellegrino1, Franck J. Vernerey1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.98, No.1, pp. 101-127, 2014, DOI:10.3970/cmes.2014.098.101

    Abstract Many colloidal-sized particles encountered in biological and membranebased separation applications can be characterized as soft vesicles such as cells, yeast, viruses and surfactant micelles. The deformation of these vesicles is expected to critically affect permeation by accommodating pore shapes and sizes or enhancing the adhesion with a pore surface. Numerical and theoretical modelings will be critical to fully understand these processes and thus design novel filtration membranes that target, not only size, but deformability as a selection criterion. The present paper therefore introduces a multiscale strategy that enables the determination of the permeability of a fibrous network with respect to… More >

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