An efficient midpoint and Richardson extrapolation-based rapid Quadrature for fracture problems using Radial Point Interpolation Method

被引：0

作者：

Vutla, Sai Naga Kishore ^{[1
]}

Vasu, Thamarai Selvan ^{[1
]}

Jeyakarthikeyan, P. V. ^{[2
]}

机构：

[1] Natl Inst Technol Warangal, Dept Mech Engn, Warangal, India

[2] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Mech Engn, Ctr Composites & Adv Mat, Chengalpattu 603203, Tamil Nadu, India

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2025年 / 175卷

关键词：

Radial Point Interpolation Method; Richardson Extrapolation; Stress Intensity Factor; Integration technique; BOUNDARY-ELEMENT METHOD; CRACK-PROPAGATION; MESHLESS METHOD; SIMULATION; ACCURATE; SOLIDS; GROWTH; 2D;

D O I：

10.1016/j.enganabound.2025.106188

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An efficient numerical integration technique, namely the Element Midpoint(EM) Method, is successfully applied to meshless methods to solve the fracture problem, which is modeled using the Radial point interpolation method. The results were compared with standard (3 x 3) points Gauss quadrature and (6 x 6) points Gauss quadrature in 2D to validate the presented numerical methods. To demonstrate the efficiency and effectiveness of this method, four benchmark problems, Edge Crack, Center Crack, and Inclined Edge Crack problem under tensile load and Edge Crack problem under shear load, are considered to solve and further calculate Stress Intensity Factor (SIF). Based on the formulation and examples, a comparative study on accuracy and computational time has been presented to show the effectiveness of the integration technique against complex problems like fracture.

引用

页数：16