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  • Open Access

    ABSTRACT

    Investigation on the Singularities of Some Singular integrals

    Zai You YAN

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.17, No.3, pp. 77-78, 2011, DOI:10.3970/icces.2011.017.077

    Abstract In the boundary element method, treatment of all the possible singular integrals is very important for the correctness and accuracy of the solutions. Generally, the directional derivative of a weakly singular integral is computed by an integral in the sense of Cauchy principle value if the directional derivative of the weakly singular integral kernel is strongly singular or in the sense of Hadamard finite part integral if the the directional derivative of the weakly singular integral kernel is hypersingular. We will try to discover how the strongly singular and hypersingular integrals are generated and propose a method to avoid the… More >

  • Open Access

    ARTICLE

    Mechanical Properties of Polypropylene Composites Reinforced with Macadamia Nutshell Fibers

    Joyce de P. Cipriano2, N. C. Zanini1, I. R. Dantas1, D. R. Mulinari1,*

    Journal of Renewable Materials, Vol.7, No.10, pp. 1047-1053, 2019, DOI:10.32604/jrm.2019.00001

    Abstract The use of natural fibers as an additive in polymeric matrices has attracted interest of the automotive industries, for its low cost, mechanical properties, biodegradability and lightness. However, the hydrophilic nature of the fiber makes polymer compatibility difficult. Fiber surface treatments can be used to enhance the fiber/matrix interface. In the present work, polypropylene (PP) composites reinforced with fibers from macadamia nutshell were obtained and characterized. Macadamia nutshell fibers were treated by an alkaline treatment with sodium hydroxide (NaOH 4%) to improve adhesion between fibers and matrix. Fibers were characterized by techniques of Scanning Electron Microscopy (SEM) and X-Ray Diffraction… More >

  • Open Access

    ARTICLE

    Investigation on the Singularities of Some Singular Integrals

    Zai You Yan1, Qiang Zhang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.75, No.3&4, pp. 205-222, 2011, DOI:10.3970/cmes.2011.075.205

    Abstract In a boundary element method, the treatment of all the possible singular integrals is very important for the correctness and accuracy of the solutions. Generally, the directional derivative of a weakly singular integral is computed by an integral in the sense of Cauchy principal value if the directional derivative of the weakly singular integral kernel is strongly singular or in the sense of Hadamard finite part integral if it is hypersingular. In this paper, we try to discover how the strongly singular and hypersingular integrals are generated and propose an idea to avoid the appearance of such kind of strongly… More >

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