Edge stress intensity functions along elliptic and part-elliptic 3D cracks. (15th March 2021)

• Record Type: Journal Article
• Authors: Yosibash, Zohar; Schapira, Yaron
• Is Part Of: Engineering fracture mechanics. Volume 245(2021)
• Publication Date: 2021-03-15
• Subjects: Elliptic crack -- Semi-elliptic crack -- Part-elliptic crack -- 3-D singularities -- Stress intensity functions; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2020.107477
• Languages: English
• ISSNs: 0013-7944

Abstract

Abstract: Three-dimensional part-elliptic crack fronts are common in engineering practice. Herein we formulate a computational method, known as the quasidual function method (QDFM) for the functional representation of edge stress intensity functions (ESIFs) along such cracks in 3D domains. It is an efficient post-processing algorithm that may use the finite element solution away from the singular edge. Numerical examples including an internal elliptic crack, a surface half-elliptic crack and a quarter elliptic crack from a hole are provided, demonstrating the efficiency and accuracy of the proposed method. Highlights: The QDFM was formulated for extracting edge stress intensity function along elliptic and part-elliptic cracks. Very accurate ESIFs are extracted from finite element (FE) solutions without the need of a refined FE mesh. Numerical examples of a semi-elliptic surface crack and part-elliptic crack at holes are provided.