张力载荷作用下柔性管联锁体的有限元分析

Fernando Geremias Toni, Rodrigo Provasi, Clovis de Arruda Martins
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引用次数: 0

摘要

为了正确地模拟柔性管道的结构行为,必须完全了解所有层的贡献,其中包括互锁的主体。该胎体是一种金属层,旨在为柔性管道提供径向刚度,主要支撑压差,从而防止崩溃和压碎等失效模式,但其在其他载荷下的行为值得研究。本文有助于理解受拉作用下的胴体行为。鉴于其复杂的螺旋和联锁几何形状,通过有限元方法对胴体进行建模是一项具有挑战性的任务,这不仅是因为模型的大尺寸,还因为联锁处的自接触产生的非线性和收敛困难。由于这些原因,在过去几十年中开发的大多数工作都采用了等效层方法,其中屠体由具有等效力学性能的正交各向异性圆柱形层代替。虽然实用,但这种方法忽略了联锁的影响,如刚度变化和应力集中。因此,为了更真实地表达和更好地理解联锁胴体的力学行为,本工作提出了四种不同的胴体有限元模型来分析该层在张力载荷下的力学行为。第一个是用二阶等参数实体单元和面-面接触单元离散化的联锁胴体三维完整有限元模型。第二种模型由第一种模型的一个版本组成,其中增加了内部聚合物护套。对于第三和第四种模型,采用简化环假设,即一个90度横放角的胴体,从而可以对前两种构型进行轴对称建模,使用二维网格表示了可观的计算增益。然后给出了这些模型的结果并进行了比较,验证了所采用的简化假设的有效性。
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Finite Element Analysis of a Flexible Pipe Interlocked Carcass Under Tension Loads
To correctly model the structural behavior of a flexible pipe, the contribution of all the layers must be completely understood, among them the interlocked carcass. That carcass is a metallic layer designed to provide radial stiffness to a flexible pipe, mainly supporting pressure differentials and thus preventing failure modes such as collapse and crushing, but its behavior under other loads is worth of investigation. This paper contributes to understanding the carcass behavior under tension. Given its complex helical and interlocked geometry, modelling the carcass through the Finite Element Method is a challenging task, not only due to the large size of the models, but also due to the nonlinearities and convergence difficulties that arise from the self-contacts at the interlocking. For these reasons, most works developed over the past decades have adopted an equivalent layer approach, in which the carcass is replaced by an orthotropic cylindrical layer with equivalent mechanical properties. Although practical, this approach disregards the effects from the interlocking, such as stiffness variations and stress concentrations. Therefore, aiming a more realistic representation and a better understanding of the mechanical behavior of the interlocked carcass, this work presents four different carcass finite element models to analyze this layer under tension loads. The first one is a complete three-dimensional finite element model of an interlocked carcass discretized with second order isoparametric solid elements and surface-to-surface contact elements. The second model consists of a version of the first one with the addition of an inner polymeric sheath. As for the third and fourth models, it was adopted the simplifying ring hypothesis, that is, a carcass with 90 degree lay angle, thus allowing the axisymmetric modelling of the two previous configurations, representing a substantial computational gain by using two-dimensional meshes. The results of those models are then presented and compared, and the validity of the adopted simplifying hypothesis is verified.
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