Complex Fourier‐based stress intensity factor analysis of plane elasticity using boundary element theories. (14th December 2021)

• Record Type: Journal Article
• Authors: Aghamolaei, Akram; Hamzehei‐Javaran, Saleh; Shojaee, Saeed
• Is Part Of: International journal for numerical methods in engineering. Volume 123:Number 5(2022)
• Page Start: 1360
• Page End: 1380
• Publication Date: 2021-12-14
• Subjects: boundary element method -- classic Lagrange shape functions -- complex Fourier shape functions -- linear elastic fracture mechanics -- stress intensity factors; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6898
• Languages: English
• ISSNs: 0029-5981

Abstract

Abstract: In this article, the boundary element method is implemented for solving linear elastic fracture mechanics problems, using new complex Fourier shape functions which include constant and linear complex Fourier shape functions. They, unlike the classic Lagrange shape functions, can satisfy the exponential and trigonometric function fields in addition to the polynomial ones. Six numerical examples are provided to investigate the new shape functions and also, the stress intensity factors (SIF) are calculated for each so that the accuracy of the present study is illustrated. The results are compared with those obtained by classic Lagrange ones and the existing methods.