Quantificação da incerteza de modelo de Forman via metodologia "Fast Crack Bounds"
The linear elastic fracture mechanics (LEFM) allows quantification of the relationship between the material properties, the stress level, the presence of crack-generating defects and crack propagation mechanisms. There are numerous models seeking to describe the crack growth. These are classified...
| Autor principal: | Santos, Bruno dos |
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| Formato: | Dissertação |
| Idioma: | Português |
| Publicado em: |
Universidade Tecnológica Federal do Paraná
2019
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.utfpr.edu.br/jspui/handle/1/3927 |
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| Resumo: |
The linear elastic fracture mechanics (LEFM) allows quantification of the relationship
between the material properties, the stress level, the presence of crack-generating
defects and crack propagation mechanisms. There are numerous models seeking to
describe the crack growth. These are classified into two main areas, namely: constant
amplitude loading (CAL) and variable amplitude loading (VAL). This work presents the
use of crack propagation model type constant amplitude loading (CAL) proposed by
Forman, assuming the existence of uncertainty in the model definition parameters,
aiming at quantification of the uncertainty of the crack propagation phenomenon. For
this, the uncertainty modeling will be done through random variables. From this, the
Monte Carlo simulation (MCS) and Fast Crack Bounds (FCB) methods will be used
together to estimate the statistical moments of the stochastic process ‘crack size’. The
performance of the proposal will be evaluated from the combination of MCS and
Runge-Kutta fourth order (RK4) methods. Three classic examples of fracture
mechanics are used to explore the accuracy and efficiency of the proposed solution to
the initial value problem of crack growth. The work identifies computational gains of at
least 378.09% more efficient than the RK4 solution and relative deviations of up to
26.28%, demonstrating the applicability and effectiveness of the Fast Crack Bounds
methodology |
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