Peridynamics is a nonlocal theory which has been successfully applied to solid mechanics and crack propagation problems over the last decade. This methodology, however, may lead to large computational calculations which can soon become intractable for many problems of practical interest. In this context, a technique to couple—in a global/local sense–three‐dimensional peridynamics with one‐dimensional high‐order finite elements based on classical elasticity is proposed. The refined finite elements employed in this work are based on the well‐established Carrera Unified Formulation, which the previous literature has demonstrated to provide structural formulations with unprecedented accuracy and optimized computational efficiency. The coupling is realized by using Lagrange multipliers that guarantee versatility and physical consistency as shown by the numerical results, including the linear static analyses of solid and thin‐walled beams as well as of a reinforced panel of aeronautic interest.

中文翻译：

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基于局部弹性的三维周动力学和高阶一维有限元耦合，用于固体梁和薄壁增强结构的线性静力分析

圆周动力学是一种非局部理论，在过去十年中已成功地应用于固体力学和裂纹扩展问题。然而，这种方法可能导致大量的计算计算，这对于许多实际感兴趣的问题可能很快变得棘手。在这种情况下，提出了一种在整体/局部意义上将三维周向动力学与基于经典弹性的一维高阶有限元耦合的技术。这项工作中使用的精炼有限元是基于完善的Carrera统一公式，先前的文献已经证明该公式可提供具有空前的准确性和优化的计算效率的结构公式。