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MECSOL 2019
7th International Symposium on Solid Mechanics
Uncertainty Quantification of McEvily Model using the Fast Crack Bounds Method
Submission Author:
Gracielle Lima de Oliveira , PR , Brazil
Co-Authors:
Gracielle Lima de Oliveira, Claudio Roberto Avila Silva Junior, Bruno dos Santos Rodrigues , Marco van der Meer
Presenter: Gracielle Lima de Oliveira
doi://10.26678/ABCM.MECSOL2019.MSL19-0186
Abstract
In this work the randomization of the McEvily Model is carried out through its definition parameters, in order to perform the quantification of uncertainty through the Fast Crack Bounds method, FCB. The FCB and Monte Carlo Simulation, MCS methods are used together to obtain the estimators. Proposed by Ávila et al. 2016, the FCB method consists in obtaining lower and upper bounds for the crack size function, which are obtained by appropriate enhancements from the Taylor series retaining the second order term with Lagrange remainder. The performance of the proposed methodology through the comparison of the estimators obtained through FCB-MCS and Runge Kutta-MCS was efficient. The bounds for the first and second statistical moments enveloped the numerical solution. The maximum relative deviation was 10.84% and the computational times of the methodology were up to 4450 times smaller than the numerical solution of RK4.
Keywords
linear-elastic fracture mechanics, McEvily Model, Fast Crack Bounds Method, Runge-Kutta Method
