Development of enriched isogeometric boundary element method formulations for analysing fracture and fatigue in three-dimensional structures

• Grant number: 19/18795-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2020
• End date: February 28, 2025
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: Edson Denner Leonel
• Grantee: Matheus Rocha
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 22/00714-2 - Extended Isogeometric Boundary Element Method formulation for the crack growth analysis of three-dimensional structural components, BE.EP.DR

Abstract

This research aims the development of enriched numerical formulations based on the Boundary Element Method (BEM) for analysing the mechanical behaviour of three-dimensional cracked bodies. The BEM is a numerical method well-established to handle this problem. The stresses are evaluated accurately at the crack tips and the remeshing procedures are less complex because the non-requirement of the domain mesh and the mesh dimensionality reduction. The formulations account for the isogeometric BEM approach. Therefore, complex geometries of CAD softwares can be accurately handled. Moreover, the formulations utilize enriched functions. Among them, it is worth citing: Dirac's function for solving punctual boundary conditions, Westergaard functions for assessing the stress intensity factor at the crack tips and Heaviside function for simulating the crack propagation at the boundary without remeshing requirements. Such enrichments certainly extends the state of art of isogeometric BEM formulations. The formulations solve linear fracture, nonlinear fracture, linear fatigue and nonlinear fatigue in three-dimensional solids. This research aims the improvement on the field of BEM applications, especially within a domain in which BEM is recognized more efficient than other numerical methods. (AU)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

ROCHA, MATHEUS; TREVELYAN, JON; LEONEL, EDSON DENNER. An extended isogeometric boundary element formulation for three-dimensional linear elastic fracture mechanics. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 423, p. 33-pg., 2024-02-26. (22/00714-2, 19/18795-6)

ROCHA, MATHEUS; TREVELYAN, JON; LEONEL, EDSON DENNER. Fatigue growth modelling of three-dimensional cracks with the extended isogeometric boundary element method. Engineering Analysis with Boundary Elements, v. 177, p. 24-pg., 2025-05-05. (22/00714-2, 19/18795-6)