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Comparison of Monte Carlo and bootstrap analyses for residual life and confidence interval

M. M. N. Husnain
M. M. N. Husnain
, 
M. R. M. Akramin
M. R. M. Akramin
, 
M. S. Shaari
M. S. Shaari
, 
Akiyuki Takahashi
Akiyuki Takahashi
, 
Abdullateef H. Bashiri
Abdullateef H. Bashiri
 y 
Abdulnaser M. Alshoaibi
Abdulnaser M. Alshoaibi
   | 13 jun 2023
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Publicado en línea: 13 jun 2023
Páginas: 15 - 26
Recibido: 12 oct 2022
Aceptado: 20 mar 2023
DOI: https://doi.org/10.2478/msp-2023-0003
Palabras clave
© 2023 M. M. N. Husnain et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1.

Global and local elements in S-version FEM
Global and local elements in S-version FEM

Fig. 2.

Concept of VCCM. VCCM, virtual crack closure method
Concept of VCCM. VCCM, virtual crack closure method

Fig. 3.

Comparison between Monte Carlo and Bootstrap concepts
Comparison between Monte Carlo and Bootstrap concepts

Fig. 4.

Surface crack at the centre of the model
Surface crack at the centre of the model

Fig. 5.

Experimental process
Experimental process

Fig. 6.

Crack length and depth measurement using Baty Vision System
Crack length and depth measurement using Baty Vision System

Fig. 7.

Surface crack at the centre of tension model
Surface crack at the centre of tension model

Fig. 8.

Normalised SIFs along the crack front for tension. SIFs, stress intensity factors
Normalised SIFs along the crack front for tension. SIFs, stress intensity factors

Fig. 9.

SIFs by (A) deterministic, (B) Monte Carlo and (C) bootstrap. SIF, stress intensity factor
SIFs by (A) deterministic, (B) Monte Carlo and (C) bootstrap. SIF, stress intensity factor

Fig. 10.

Geometry model for four-point bending with mode I loading
Geometry model for four-point bending with mode I loading

Fig. 11.

Global mesh with boundary conditions and overlaid local mesh in a wireframe view of the four-point bending model
Global mesh with boundary conditions and overlaid local mesh in a wireframe view of the four-point bending model

Fig. 12.

Beach marks at the surface crack growth for the four-point bending model
Beach marks at the surface crack growth for the four-point bending model

Fig. 13.

Comparison of surface crack growth between the experimental and probabilistic S-version FEM approaches including 95% bounds for third and sixth beach marks
Comparison of surface crack growth between the experimental and probabilistic S-version FEM approaches including 95% bounds for third and sixth beach marks

Fig. 14.

Comparison of fatigue crack growth between the experimental, deterministic and developed probabilistic S-version FEM approaches
Comparison of fatigue crack growth between the experimental, deterministic and developed probabilistic S-version FEM approaches

Fig. 15.

Comparison between the experimental and probabilistic S-version FEM by deterministic, Monte Carlo and bootstrap approaches
Comparison between the experimental and probabilistic S-version FEM by deterministic, Monte Carlo and bootstrap approaches

Classification of the tension model

Tension model Crack shape aspect ratio (a/c) Crack size aspect ratio (a/t) Model width Aspect ratio (c/b) Tension load (KN)
A 1.00 0.8 0.5 45

Input distribution for the four-point bending model aluminium alloy (Al 7075-T6)

Variable Distribution Mean Standard deviation
Initial crack length (ci) Lognormal 8.00 mm 0.1
Initial crack depth (ai) Lognormal 4.50 mm 0.1
Young’s modulus (E) Lognormal 71.7 GPa 0.01
PR Deterministic 0.33 0
Tensile strength (yield) Deterministic 503 MPa 0
Fatigue power parameter (n) Lognormal 2.88 0.1
Paris coefficient (C) Lognormal 2.29 × 10–10 4.01 × 10–10
Critical SIF (KIC) Deterministic 29 MPa.m$\sqrt m $ 0
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Materials Sciences, other, Nanomaterials, Functional and Smart Materials, Materials Characterization and Properties
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