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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


    Micro/Nano-Sized Piezoelectric Structures Analyzed by Strain Gradient Theory

    Jan Sladek1, Vladimir Sladek1 and Choon-Lai Tan2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.1, pp. 109-111, 2019, DOI:10.32604/icces.2019.05685

    Abstract In recent years, a special attention has been directed to the investigation of the relations between the macroscopic material behaviour and its microstructure. For most of the analyses of composite structures, effective or homogenized material properties are used, instead of taking into account the individual component properties and geometrical arrangements. The effective properties are usually difficult or expensive to measure and in the design stage the composition may vary substantially, making frequent measurements prohibitive. Hence a lot of effort has been devoted into the development of mathematical and numerical models to derive homogenized material properties directly from those of the… More >

  • Open Access


    A Node-Based Element for Analysis of Planar Piezoelectric Structures

    H. Nguyen-Van1, N.Mai-Duy1, T. Tran-Cong1

    CMES-Computer Modeling in Engineering & Sciences, Vol.36, No.1, pp. 65-96, 2008, DOI:10.3970/cmes.2008.036.065

    Abstract A novel node-based smoothing element for triangular and quadrilateral meshes is presented for static analysis of planar piezoelectric structures. In contrast to the smoothed finite element formulation that was based on sub-cells within an original quadrilateral element, this new method transforms a general original finite element mesh into a mesh of new smoothing cells individually associated with a single node which is termed as node-based elements. The displacement fields of the element are approximated by the linear interpolation functions of the original mesh while the approximations of mechanical strains and electric potential fields are normalized using the stabilized conforming nodal… More >

  • Open Access


    A Smoothed Four-Node Piezoelectric Element for Analysis of Two-Dimensional Smart Structures

    H. Nguyen-Van1, N. Mai-Duy2, T. Tran-Cong3

    CMES-Computer Modeling in Engineering & Sciences, Vol.23, No.3, pp. 209-222, 2008, DOI:10.3970/cmes.2008.023.209

    Abstract This paper reports a study of linear elastic analysis of two-dimensional piezoelectric structures using a smoothed four-node piezoelectric element. The element is built by incorporating the strain smoothing method of mesh-free conforming nodal integration into the standard four-node quadrilateral piezoelectric finite element. The approximations of mechanical strains and electric potential fields are normalized using a constant smoothing function. This allows the field gradients to be directly computed from shape functions. No mapping or coordinate transformation is necessary so that the element can be used in arbitrary shapes. Through several examples, the simplicity, efficiency and reliability of the element are demonstrated.… More >

  • Open Access


    Dynamic Analysis of Piezoelectric Structures by the Dual Reciprocity Boundary Element Method

    G. Dziatkiewicz1 and P. Fedelinski1

    CMES-Computer Modeling in Engineering & Sciences, Vol.17, No.1, pp. 35-46, 2007, DOI:10.3970/cmes.2007.017.035

    Abstract The aim of the present work is to show the formulation and application of the dual reciprocity boundary element method (BEM) to free vibrations of two-dimensional piezoelectric structures. The piezoelectric materials are modelled as homogenous, linear -- elastic, transversal isotropic and dielectric. Displacements and electric potentials are treated as generalized displacements and tractions and electric charge flux densities are treated as generalized tractions. The static fundamental solutions, which are required in the proposed approach, are derived using the Stroh formalism. The domain inertial integral is transformed to the equivalent boundary integral using the dual reciprocity method (DRM). The boundary quantities… More >

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