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Reissner Plates with Plastic Behavior: Probability of Failure

机译：具有塑性行为的Reissner板：失效概率

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摘要

The current paper shows the application of the boundary element method for the analysis of plates under shear stress causing plasticity. In this case, the shear deformation of a plate is considered by means of Reissner's theory. The probability of failure of a Reissner's plate due to a proposed index plastic behavior I-pB is calculated taking into account the uncertainty in mechanical and geometrical properties. The problem is developed in three dimensions. The classic plasticity's theory is applied and a formulation for initial stresses that lead to the boundary integral equations due to plasticity is also used. For the plasticity calculation, the von Misses criterion is used. To solve the nonlinear equations, an incremental method is employed. The results show a relatively small failure probability (P-F) for the ranges of loads between 0.6 (W)over cap 1.0. However, for values between 1.0 (W) over cap 2.5, the probability of failure increases significantly. Consequently, for (W)over cap = 2.5, the plate failure is imminent. 'I he results are compared to those that were found in the literature and the agreement is good.
机译：目前的文章显示了边界元方法在分析引起可塑性的剪切应力下的板的应用。在这种情况下，通过Reissner理论来考虑板的剪切变形。考虑到机械和几何特性的不确定性，计算了由于建议的指数塑性行为I-pB而导致的Reissner板失效的可能性。这个问题从三个方面发展。应用了经典的可塑性理论，并使用了初始应力公式，该初始应力导致了由于可塑性导致的边界积分方程。为了进行可塑性计算，使用了von Misses准则。为了解决非线性方程，采用了增量方法。结果表明，对于0.6 超出（W）上限> <1.0的载荷范围，失效概率（P-F）较小。但是，对于介于上限<2.5的1.0 <（W）之间的值，发生故障的可能性会大大增加。因此，对于<（W）over cap = 2.5，极板故障迫在眉睫。 “我将他的结果与文献中的结果进行了比较，并且协议很好。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|3989250.1-3989250.9|共9页
  • 作者

    Pineda-Leon Ernesto; Rodriguez-Castellanos Alejandro; Tolentino Dante; Manuel Rosales-Juarez Jose; Felix-Gonzalez Ivan; Supriyono;

  • 作者单位

    Inst Politecn Nacl, SEPI ESIA, Escuela Super Ingn & Arquitectura, Unidad Profes Adolfo Lopez Mateos S-N, Ciudad De Mexico, Mexico;

    Inst Mexicano Petr, Eje Cent Lazar Cardenas 152, Ciudad De Mexico 07730, Mexico;

    Inst Politecn Nacl, SEPI ESIA, Escuela Super Ingn & Arquitectura, Unidad Profes Adolfo Lopez Mateos S-N, Ciudad De Mexico, Mexico;

    Inst Politecn Nacl, SEPI ESIME, Escuela Super Ingn Mecan & Elect, Unidad Profes Adolfo Lopez Mateos S-N, Ciudad De Mexico, Mexico;

    Inst Mexicano Petr, Eje Cent Lazar Cardenas 152, Ciudad De Mexico 07730, Mexico;

    Univ Muhammadiyah Surakarta, Dept Mech Engn, Surakarta, Indonesia;

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