The scaled boundary finite element method for the efficient modeling of linear elastic fracture

Egger, Adrian W.; Triantafyllou, Savvas P.; Chatzi, Eleni N.

Abstract

In this work, a study of computational and implementational efficiency is presented, on the treatment of Linear Elastic Fracture Mechanics (LEFM) problems. To this end, the Scaled Boundary Finite Element Method (SBFEM), is compared against the popular eXtended Finite Element Method (XFEM) and the standard FEM approach for efficient calculation of Stress Intensity Factors (SIFs). The aim is to examine SBFEM’s potential for inclusion within a multiscale fracture mechanics framework. The above features will be exploited to solve a series of benchmarks in LEFM comparing XFEM, SBFEM and commercial FEM software to analytical solutions. The extent to which the SBFEM lends itself for inclusion within a multiscale framework will further be assessed.

Citation

Egger, A. W., Triantafyllou, S. P., & Chatzi, E. N. (2016). The scaled boundary finite element method for the efficient modeling of linear elastic fracture.

• Conference Name: 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS-9)
• End Date: Jun 1, 2016
• Acceptance Date: Mar 2, 2016
• Publication Date: May 30, 2016
• Deposit Date: Jul 4, 2016
• Publicly Available Date: Jul 4, 2016
• Peer Reviewed: Peer Reviewed
• Keywords: Scaled Boundary Finite Element Method (SBFEM), eXtended Finite Element Method (XFEM), Linear Elastic Fracture Mechanics (LEFM), Stress Intensity Factors (SIFs), Multiscale
• Public URL: https://nottingham-repository.worktribe.com/output/788003
• Publisher URL: http://framcos.org/FraMCoS-9/Full-Papers/56.pdf