Numerical Analysis of Crack-Tip Fields using a Meshless Method in Linear Elastic Materials

作     者：Zahra Sheikhi Akbar Ghanbari Mohammad Karkon Soleyman Ghouhestani 

作者机构：Department of Civil EngineeringLarestan BranchIslamic Azad UniversityLarestanIran Department of Civil EngineeringFasa UniversityFasaIran 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2022年第14卷第6期

页      面：1509-1534页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Numerical analysis partial differential equations fracture mechanics meshless method discrete least-squares modification of weight function approaches to defining discontinuities stress intensity factors. 

摘      要：In this paper,the Discrete Least Squares Meshless(DLSM)method is developed to determine crack-tip *** DLSM,the problem domain and its boundary are discretized by unrelated field nodes used to introduce the shape functions by the moving least-squares(MLS)*** method aims to minimize the sum of squared residuals of the governing differential equations at any nodal *** high-continuity shape functions are used,some necessary treatments,including the visibility criterion,diffraction,and transparency approaches,are employed in the DLSM to introduce strong discontinuities such as *** stress extrapolation and J-integral methods are used to calculate stress intensity *** classic numerical examples using three approaches to defining discontinuities in the irregular distribution of nodal points are considered to investigate the effectiveness of the DLSM *** numerical tests indicated that the proposed method effectively employed the approaches to defining discontinuities to deal with discontinuous *** was also demonstrated that the diffraction approach obtained higher accuracy than the other techniques.