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A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields.

机译：用于精确计算裂纹尖端场的无网格分区径向点插值方法。

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摘要

A new meshless sub-region radial point interpolation method (MS-RPIM) is proposed for linear elastic fracture mechanics. The Williams expansions of stress field for mode I/II crack is used as the trial functions in crack tip region, the meshless radial point interpolation is used for the rest of domain, and a mixed variational principle is used for discretisation. In contrast to existing meshless formulations, the present MS-RPIM requires only very few nodes around the crack tip to obtain smooth stress and accurate results and the SIFs can be directly obtained as part of the solution and no additional effort via post-processing.

机译：提出了一种新的无网格次区域径向点插值方法（MS-RPIM），用于线性弹性断裂力学。 I / II型裂纹的应力场的Williams扩展用作裂纹尖端区域的试验函数，无网格径向点插值用于其余区域，而混合变分原理用于离散化。与现有的无网格配方相反，本发明的MS-RPIM仅需要在裂纹尖端周围的极少节点即可获得平滑应力和准确结果，并且SIF可以作为解决方案的一部分直接获得，而无需通过后处理即可获得。

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Zhuang X.; Cai Y.; Augarde C.E.;
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年度 2014
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正文语种 {"code":"en","name":"English","id":9}
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1. A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields [J] . Xiaoying Zhuang, Yongchang Cai, Charles Augarde Theoretical and Applied Fracture Mechanics . 2014,第Null期

机译：精确计算裂纹尖端场的无网格分区径向点插值方法
2. The numerical simulation of crack propagation using radial point interpolation meshless methods [J] . Ramalho L. D. C., Belinha J., Campilho R. D. S. G. Engineering analysis with boundary elements . 2019,第Deca期

机译：径向点插值无网格法的裂纹扩展数值模拟
3. A new spectral meshless radial point interpolation (SMRPI) method: A well-behaved alternative to the meshless weak forms [J] . Elyas Shivanian Engineering analysis with boundary elements . 2015,第may期

机译：一种新的光谱无网格径向点插值（SMRPI）方法：一种完善的替代方法，用于无网格弱形式
4. THE APPLICATION OF RADIAL POINT INTERPOLATION MESHLESS METHOD BASED ON THE HERMITE COLLOCATION METHOD IN THE ACOUSTIC FIELD [C] . Xinyu Zhang, Xiaosong Zhu, Xiaochen Zhao International Congress on Sound and Vibration . 2017

机译：径向点插值网格方法在声场中Hermite Collocation方法的应用
5. Accelerating the performance of a novel meshless method based on collocation with radial basis functions by employing a graphical processing unit as a parallel coprocessor. [D] . Owusu-Banson, Derek. 2012

机译：通过将图形处理单元用作并行协处理器，加速了基于新的基于径向和功能并置的无网格方法的性能。
6. Comparative modelling of crack propagation in elastic–plastic materials using the meshfree local radial basis point interpolation method and eXtended finite-element method [O] . Yazhe Li, Nengxiong Xu, Jinzhi Tu, 2019

机译：使用无网格局部径向基点插值法和扩展有限元法对弹塑性材料中裂纹扩展进行比较建模
7. Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options [O] . Rad, Jamal Amani, Parand, Kourosh, Abbasbandy, Saeid 2014

机译：基于径向点的局部弱形式无网格技术插值（RpI）方法和局部边界积分方程（LBIE）方法评估欧洲和美国的选择
8. A Meshless Method Using Radial Basis Functions for Beam Bending Problems [R] . Raju, I. S., Phillips, D. R., Krishnamurthy, T. 2004

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A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields.

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