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Smoothed peridynamics for the extremely large deformation and cracking problems: Unification of peridynamics and smoothed particle hydrodynamics
Fatigue & Fracture of Engineering Materials & Structures ( IF 3.7 ) Pub Date : 2021-06-21 , DOI: 10.1111/ffe.13523
Xiaoping Zhou 1 , Wu‐Wen Yao 1 , Filippo Berto 2
Affiliation  

Peridynamics (PD) and smoothed particle hydrodynamics (SPH) are definitely attractive theories in amounts of numerical mechanical methods these years, and numerous researchers have studied the similarities of these two methods. In this paper, the smoothed peridynamics (SPD) is proposed to unify these two theories in the meshless view. The SPD employs an update-Lagrangian (UL) method, which is useful for the extremely large deformation and cracking problem. The SPD governing equation, nonlocal interaction, micro-bond modules for elastic material are derived. In addition, the choice of the nonlocal kernel and logarithmic stretch is investigated. Finally, numerical experiments are studied to confirm the ability of SPD. The numerical results show that SPD has an excellent performance and application prospect in computational solid mechanics. Since the SPD model formulations are derived for general 3D conditions, it can be straight forwardly extended for large-scale practical applications across disciplines.

中文翻译:

用于极大变形和开裂问题的平滑近场动力学:近场动力学和平滑粒子流体动力学的统一

近年来,近场动力学(PD)和光滑粒子流体动力学(SPH)在大量的数值力学方法中绝对是有吸引力的理论,许多研究人员已经研究了这两种方法的相似之处。在本文中,平滑近场动力学(SPD)被提出以在无网格视图中统一这两种理论。SPD 采用更新拉格朗日 (UL) 方法,这对于极大变形和开裂问题很有用。推导了弹性材料的SPD控制方程、非局部相互作用、微键模块。此外,还研究了非局部内核和对数拉伸的选择。最后,通过数值实验来验证SPD的能力。数值结果表明SPD在计算固体力学中具有优良的性能和应用前景。
更新日期:2021-08-07
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