Time dependent boundary element formulations applied to crack propagation analysis in quasi-brittle materials

• Grant number: 11/07771-7
• Support type: Regular Research Grants
• Duration: August 01, 2011 - July 31, 2013
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal researcher: Edson Denner Leonel
• Grantee: Edson Denner Leonel
• Home Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This research plan deals with analysis of crack propagation, considering time dependent effects, in 2D domains using the boundary element method (BEM). BEM has been successfully used in the analysis of several engineering problems. Considering fracture mechanics problems, BEM has demonstrated be an efficient and accurate approach due to its mesh dimension reduction, which allow it to simulate the crack growth without remeshing difficulties. In this research plan, non-linear BEM formulations will be developed to analysis of crack propagation in quasi-brittle materials. In these materials, the process zone, ahead of the crack tip, introduces non-linear effects in the structural behavior. Then, in order to simulate the crack growth process in quasi-brittle materials, non-linear models are required. The simulation of crack propagation in time independent and depend will be performed in this research plan. Two BEM formulations will be adopted to simulate the crack growth. The first one is the well known dual BEM, where singular and hyper-singular integral equations are written for boundary elements defined along each crack surface. The second formulation uses an initial stress field in order to represent the cohesive zone. In this formulation, the domain term of the classical integral equation of BEM will be modified, in order to be non-null only along the crack growth paths. The results obtained by both formulations, for the cases of time independent and dependent, will be compared with numerical and experimental results available in the literature. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

OLIVEIRA, HUGO LUIZ; LEONEL, EDSON DENNER. RETRACTED: An alternative BEM formulation, based on dipoles of stresses and tangent operator technique, applied to cohesive crack growth modelling (Retracted article. See vol. 61, pg. 301, 2015). Engineering Analysis with Boundary Elements, v. 41, p. 74-82, APR 2014. (11/07771-7)

OLIVEIRA, HUGO LUIZ; LEONEL, EDSON DENNER. Cohesive crack growth modelling based on an alternative nonlinear BEM formulation. ENGINEERING FRACTURE MECHANICS, v. 111, p. 86-97, OCT 2013. (11/07771-7)