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Numerical models based on Boundary Element Method and level set method applied to topological optimization in anisotropic non-homogeneous media

Grant number: 14/18928-2
Support type:Regular Research Grants
Duration: February 01, 2015 - January 31, 2017
Field of knowledge:Engineering - Civil Engineering - Structural Engineering
Principal Investigator: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
Assoc. researchers: Matteo Bruggi


This research plan addresses the development of numerical models based on coupling Boundary Element Method (BEM) and Level Set Method (LSM) for topological optimization analyses in 2D structures. The statement of structural configurations that leads to minimum expense of material and obey the material integrity requirements is one of major goals of structural design. This goal may be achieved by applying optimization techniques, as the minimization of the amount of used material leads to the maximization of structural efficiency. The geometric evolution of structural boundaries will be performed, on models proposed in this research plan, by using LSM. This method has recognized accuracy into curves propagation analyses and will provide the structural boundary mechanically efficient based on a predetermined speed function. This function, which governs the movement speed of each point on the structural boundary, depends on the intensity of Von Mises stresses acting on all points that belong to the analysed body. Due to the absence of domain mesh provided by BEM, this numerical method allows the determination of Von Mises stresses with high accuracy. Furthermore, the mesh reduction dimension provided by BEM makes it perfectly compatible for coupling with MLS, as both methods require only boundary information. As a result of this research, the development of numerical formulations and computational codes for topological optimization analyses in structures composed by isotropic materials, anisotropic materials or both are expected in order to contribute with this scientific field. In addition to that, the production of numerical tools, applicable in industry, is one of the purposes. (AU)

Scientific publications (5)
(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)
K. O. COELHO; E. D. LEONEL; J. FLÓREZ-LÓPEZ. An efficient mechanical-probabilistic approach for the collapse modelling of RC structures. Rev. IBRACON Estrut. Mater., v. 12, n. 2, p. 386-397, Abr. 2019.
G. P. PELLIZZER; E. D. LEONEL; C. G. NOGUEIRA. Numerical approach about the effect of the corrosion on the mechanical capacity of the reinforced concrete beams considering material nonlinear models. Rev. IBRACON Estrut. Mater., v. 11, n. 1, p. -, Fev. 2018.
FERREIRA CORDEIRO, SERGIO GUSTAVO; LEONEL, EDSON DENNER; BEAUREPAIRE, PIERRE. Quantification of cohesive fracture parameters based on the coupling of Bayesian updating and the boundary element method. Engineering Analysis with Boundary Elements, v. 74, p. 49-60, JAN 2017. Web of Science Citations: 4.
FERREIRA CORDEIRO, SERGIO GUSTAVO; LEONEL, EDSON DENNER. Cohesive crack propagation modelling in wood structures using BEM and the Tangent Operator Technique. Engineering Analysis with Boundary Elements, v. 64, p. 111-121, MAR 2016. Web of Science Citations: 5.
G. P. PELLIZZER; E. D. LEONEL; C. G. NOGUEIRA. Influence of reinforcement's corrosion into hyperstatic reinforced concrete beams: a probabilistic failure scenarios analysis. Rev. IBRACON Estrut. Mater., v. 8, n. 4, p. -, Ago. 2015.

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