Numerical and experimental analysis of the notch effect on fatigue behavior of polymethylmethacrylate metal based on strain energy density method and the extended finite element method

Moussaoui, Mustafa; Bendriss, Abdelkhader; Tahiri, Antar; Kellai, Ahmed; Zergod, Souad; Djeloud, Hamza; Hachi, Brahim Kalil

Accesso libero

Numerical and experimental analysis of the notch effect on fatigue behavior of polymethylmethacrylate metal based on strain energy density method and the extended finite element method

Mustafa Moussaoui

Moussaoui, Mustafa

,

Abdelkhader Bendriss

Bendriss, Abdelkhader

,

,

,

,

e

07 dic 2023

Materials Science-Poland

Volume 41 (2023): Numero 2 (Agosto 2023)

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Pubblicato online: 07 dic 2023

Pagine: 401 - 413

Ricevuto: 12 mag 2023

Accettato: 02 ott 2023

DOI: https://doi.org/10.2478/msp-2023-0027

Parole chiave
fatigue failure, notch, averaged strain energy density, mixed mode I/II, CV - control volume

© 2023 Mustafa Moussaoui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Stress components located at the point of the tip of the V-notch, in a polar coordinate system

Circular zone nears tip of V-notch [8], 2γ = 2π − 2α

Control volume A0 for (a) sharp crack, (b) V-notch

Control volume for U-notch: (a) mixed-mode I/II, (b) open mode I

Crack propagation emanating from the V notch and the location of the control volume

Comparisons of experimental and simulation values of ASED for sharp V notch and blunt U notch via fatigue life

Location of the zone of maximum principal stress (crack initiation zone) for (a) U notch R = 2 mm and (b) V notch 2α = 140°

Effect of loading on averaged energy density for V-notch via fatigue life (logarithmic values)

Effect of loading on averaged energy density blunt U notch

Correlations of experimental and numerical results

Experimental test
Notch type	Number of test repetitions	Min. number of cycles	Max. number of cycles	Standard deviation of cycles	Minimum energy	Maximum energy	Standard deviation of energy
U-notch radius 0.2 mm	4	22640	201,865	82391.597	0.293	0.507	0.094
V-notch angle 20°	4	521,218	151,883	75622.87	0.229	0.461	0.107
V-notch angle 140°	4	11032	311,170	129198.70	0.166	0.504	0.143
U-notch radius 2 mm	5	25,239	341,478	125086.76	0.112	0.283	0.074
Simulation tests
Notch type	Number of test repetitions	Min number of cycles	Max number of cycles	Standard deviation of cycles	Minimum of energy	Maximum of energy	Standard deviation of energy
U-notch radius 0.2 mm	4	15254	326,645	146,519.222	0.255	0.438	0.080
V-notch angle 20°	5	150.43	151,883	67,693.93	0.229	0.609	0.141
V-notch angle 140°	4	3890.97	85,337	42857.97	0.253	0.538	0.139
U-notch radius 2 mm	5	22938.2	442,920	169,677.83	0.124	0.313	0.081

Local energy modeling near notch

Experimental
Notch type	Correlation coefficients	Experimental: Local energy near notch
U-notch radius 0.2 mm	R² = 0.9881	W_U0.2 = 6,1122.(2N)^-0.248
V-notch angle 20°	R² = 0.9591	W_V20 = 0,9019.(2N)^-0.13
V-notch angle 140°	R² = 0.9656	W_U140 = 10,939.(2N )^-0.325
U-notch radius 2 mm	R² = 0.8875	W_U2 = 14,731.(2N )^-0.381
Simulation
Notch type	Correlations coefficients	Simulation: Local energy near notch
U-notch radius 0.2 mm	R² = 0.967	W_U0.2 = 25.707.(2N )^-0.354
V-notch angle 20°	R² = 0.857	W_V20 = 1.944. (2N )^-0.2093
V-notch angle 140°	R² = 0.890	W_U140 = 15.357.(2N )^-0.392
U-notch radius 2 mm	R² = 0.8305	W_U2 = 12.483.(2N )^-0.37

Mechanical properties of PMMA

Tensile strength (MPa)	Flexural strength (MPa)	Modulus of elasticity (MPa)	Density (kg/m³)	Elongation (%)	Poisson’s rate	Fracture Toughness (MPa.√m)
70.5	110	3000	1190	6	0.3	1.863

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Numerical and experimental analysis of the notch effect on fatigue behavior of polymethylmethacrylate metal based on strain energy density method and the extended finite element method

Pubblicato online: 07 dic 2023

Pagine: 401 - 413

Ricevuto: 12 mag 2023

Accettato: 02 ott 2023

DOI: https://doi.org/10.2478/msp-2023-0027

Parole chiave
fatigue failure, notch, averaged strain energy density, mixed mode I/II, CV - control volume

© 2023 Mustafa Moussaoui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Correlations of experimental and numerical results

Local energy modeling near notch

Mechanical properties of PMMA

Numerical and experimental analysis of the notch effect on fatigue behavior of polymethylmethacrylate metal based on strain energy density method and the extended finite element method

Mustafa Moussaoui

Abdelkhader Bendriss

Antar Tahiri

Ahmed Kellai

Souad Zergod

Hamza Djeloud

Brahim Kalil Hachi

Pubblicato online: 07 dic 2023

Pagine: 401 - 413

Ricevuto: 12 mag 2023

Accettato: 02 ott 2023

DOI: https://doi.org/10.2478/msp-2023-0027

Parole chiavefatigue failure, notch, averaged strain energy density, mixed mode I/II, CV - control volume

© 2023 Mustafa Moussaoui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1.

Fig. 2.

Fig. 3.

Fig. 4.

Fig. 5.

Fig. 6.

Fig. 7.

Fig. 8.

Fig. 9.

Fig. 10.

Fig. 11.

Fig. 12.

Fig. 13.

Fig. 14.

Fig. 15.

Correlations of experimental and numerical results

Local energy modeling near notch

Mechanical properties of PMMA

Parole chiave
fatigue failure, notch, averaged strain energy density, mixed mode I/II, CV - control volume