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Accelerated and Stabilized Meshfree Method for Impact-Blast Modeling

机译：抗冲击建模加速和稳定的网状紫外方法

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Meshfree methods such as the reproducing kernel particle method (RKPM) are well suited for modeling materials and solids undergoing fracture and damage processes, and nodal integration is a natural choice for modeling this class of problems. However, nodal integration suffers from spatial instability, and the excessive material deformation and damage process could also lead to kernel instability in RKPM. This paper reviews the recent advances in nodal integration for meshfree methods that are stable, accurate, and with optimal convergence. A variationally consistent integration (VCI) is introduced to allow correction of low order quadrature rules to achieve optimal convergence, and several stabilization techniques for nodal integration are employed. The application of the stabilized RKPM with nodal integration for shock modeling, fracture to damage multiscale mechanics, and materials modeling in extreme events, are demonstrated. These include the modeling of man-made disasters such as fragment-impact processes, penetration, shock, and blast events will be presented to demonstrate the effectiveness of the new developments.
机译：无网格的方法，如再生核粒子法（RKPM）非常适合用于建模材料和进行断裂和损伤过程的固体，和节点积分为这类问题进行建模的自然选择。然而，从空间不稳定性，和过量的材料变形和损伤过程节点积分患有也有可能导致在RKPM内核不稳定。本文回顾了节点积分的新进展无网格方法是稳定的，准确的，并具有最佳收敛。甲variationally一致集成（VCI）被引入到允许的低阶正交规则校正，以达到最佳收敛，而对于节点积分几个稳定技术被采用。与休克建模，断裂损坏多尺度力学和材料在极端事件建模节点积分稳定RKPM的应用，被证明。这些措施包括人为灾害，如碎片撞击过程，渗透，冲击和爆炸事件的建模将提交证明的新的发展成效。

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