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DETERMINATION OF STRESSES NEAR ELASTIC INCLUSIONS IN PLATES OF COMPLEX SHAPE

机译:复杂形状板中弹性夹杂物附近的应力测定

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摘要

We develop an algorithm for the determination of stresses in plates of complex shape containing elastic inclusions. The algorithm is based on the application of modified integral equations for which the boundary conditions for stresses are identically satisfied on the interfaces. The integral equations are solved numerically with the help of the method of mechanical quadratures. The investigation of stresses near inclusions in plates of different shape is performed. We establish characteristic features of the distribution of stresses depending on the shape of inclusions and elastic characteristics of the materials.
机译:我们开发了一种用于确定包含弹性夹杂物的复杂形状的板中应力的算法。该算法基于修改后的积分方程的应用,对于该方程,在界面上完全满足应力的边界条件。借助于机械求积法可以对积分方程进行数值求解。对不同形状的板中夹杂物附近的应力进行了研究。我们根据夹杂物的形状和材料的弹性特征建立应力分布的特征。

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  • 来源
    《Journal of Mathematical Sciences》 |2016年第3期|271-282|共12页
  • 作者单位

    Lutsk State Technical University, Lutsk, Ukraine;

    Lutsk State Technical University, Lutsk, Ukraine;

    Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine;

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