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Numerical formulations based on the isogeometric boundary element method for the collapse analysis of three-dimensional reinforced nonhomogeneous solids

Grant number: 18/20253-4
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): March 01, 2019
Effective date (End): February 28, 2022
Field of knowledge:Engineering - Civil Engineering - Structural Engineering
Principal Investigator:Edson Denner Leonel
Grantee:Antonio Rodrigues Neto
Home Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This thesis proposal deals the development of numerical formulations based on the Boundary Element Method (BEM) for the mechanical analyses of three-dimensional cracked solids positioned in nonhomogeneous and reinforced structural systems. The efficiency of BEM in handling fracture mechanics problems is largely known, because of the non-requirement of the domain mesh, which makes the representation of stresses concentration at the crack tip accurate. In addition, the mesh dimensionality reduction leads to the less complex remeshing procedures during the crack growth. In this thesis proposal, the development of numerical formulations for cohesive crack growth in mixed mode in three-dimensional nonhomogeneous isotropic/anisotropic reinforced materials is intended. The formulations will represent the crack propagation inside BEM subdomains, by the dual BEM approach, with proper crack/reinforcement interaction, leading to its collapse. Moreover, the cohesive crack may propagate along existent interfaces, leading to the delamination modelling. Initially, BEM formulations based on the classical approach will be developed. Nevertheless, one aims the extension of these formulations for the isogeometric approach. The latter approach has many advantages such as the accurate representation of geometries provided by CAD softwares, proper accuracy for mechanical variables assessment and computational time consuming improvement during the mesh generation. Finally, this proposal aims to contribute with the field of application of BEM, particularly in domains in which this numerical method is recognized as more efficient than other numerical approaches. (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)
RODRIGUES NETO, ANTONIO; LEONEL, EDSON DENNER. Three dimensional nonlinear BEM formulations for the mechanical analysis of nonhomogeneous reinforced structural systems. Engineering Analysis with Boundary Elements, v. 123, p. 200-219, FEB 1 2021. Web of Science Citations: 1.
NETO, ANTONIO RODRIGUES; LEONEL, EDSON DENNER. The mechanical modelling of nonhomogeneous reinforced structural systems by a coupled BEM formulation. Engineering Analysis with Boundary Elements, v. 109, p. 1-18, DEC 2019. Web of Science Citations: 0.

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