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Study of load bearing capacity of an infinite sheet weakened by multiple collinear straight cracks with coalesced yield zones

S. Shekhar
S. Shekhar
, 
Naved Akhtar
Naved Akhtar
 and 
S. Hasan
S. Hasan
   | Dec 07, 2021
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Published Online: Dec 07, 2021
Page range: 265 - 284
Received: Jun 21, 2021
Accepted: Aug 16, 2021
DOI: https://doi.org/10.2478/msp-2021-0023
Keywords
© 2021 S. Shekhar et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1

Configuration of the main problem.
Configuration of the main problem.

Fig. 2

Configuration of the Sub-problem A.
Configuration of the Sub-problem A.

Fig. 3

Configuration of the Sub-problem B (when s = 0).
Configuration of the Sub-problem B (when s = 0).

Fig. 4

Configuration of the Sub-problem B (when s = 1).
Configuration of the Sub-problem B (when s = 1).

Fig. 5

Configuration of the Sub-problem B (when s = 2).
Configuration of the Sub-problem B (when s = 2).

Fig. 6

Variation between normalized yield zone and load ratio for yield stress ±a1.
Variation between normalized yield zone and load ratio for yield stress ±a1.

Fig. 7

Variation between normalized yield zone and load ratio for linearly varying yield stress ±a1.
Variation between normalized yield zone and load ratio for linearly varying yield stress ±a1.

Fig. 8

Variation between normalized yield zone and load ratio for quadratically varying yield stress ±a1.
Variation between normalized yield zone and load ratio for quadratically varying yield stress ±a1.

Fig. 9

Comparison between three stress profiles ±a1.
Comparison between three stress profiles ±a1.

Fig. 10

Variation between normalized yield zone and load ratio for yield stress at ±b1.
Variation between normalized yield zone and load ratio for yield stress at ±b1.

Fig. 11

Variation between normalized yield zone and load ratio for linearly varying yield stress at ±b1.
Variation between normalized yield zone and load ratio for linearly varying yield stress at ±b1.

Fig. 12

Variation between normalized yield zone and load ratio for quadratically varying yield stress at ±b1.
Variation between normalized yield zone and load ratio for quadratically varying yield stress at ±b1.

Fig. 13

Comparison between three stress profiles at ±b1.
Comparison between three stress profiles at ±b1.

Fig. 14

Variation between normalized yield zone and load ratio for yield stress at ±c1.
Variation between normalized yield zone and load ratio for yield stress at ±c1.

Fig. 15

Variation between normalized yield zone and load ratio for linearly varying yield stress at ±c1.
Variation between normalized yield zone and load ratio for linearly varying yield stress at ±c1.

Fig. 16

Variation between normalized yield zone and load ratio for quadratically varying yield stress at ±c1.
Variation between normalized yield zone and load ratio for quadratically varying yield stress at ±c1.

Fig. 17

Comparison between three stress profiles at ±c1.
Comparison between three stress profiles at ±c1.

Fig. 18

Variation between Γ6a1−b1 \frac{{{{\rm{\Gamma }}_6}}}{{{a_1} - {b_1}}} and (σ∞σye)a {\left( {\frac{{{\sigma_\infty }}}{{{\sigma _{ye}}}}} \right)_a} .
Variation between Γ6a1−b1 \frac{{{{\rm{\Gamma }}_6}}}{{{a_1} - {b_1}}} and (σ∞σye)a {\left( {\frac{{{\sigma_\infty }}}{{{\sigma _{ye}}}}} \right)_a} .

Fig. 19

Variation between Γ6a1−b1 \frac{{{{\rm{\Gamma }}_6}}}{{{a_1} - {b_1}}} and (σ∞σye)b {\left( {\frac{{{\sigma_\infty }}}{{{\sigma _{ye}}}}} \right)_b} .
Variation between Γ6a1−b1 \frac{{{{\rm{\Gamma }}_6}}}{{{a_1} - {b_1}}} and (σ∞σye)b {\left( {\frac{{{\sigma_\infty }}}{{{\sigma _{ye}}}}} \right)_b} .

Fig. 20

Variation between Γ52c1 \frac{{{{\rm{\Gamma }}_5}}}{{2{c_1}}} and (σ∞σye)c {\left(\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}\right)_c} .
Variation between Γ52c1 \frac{{{{\rm{\Gamma }}_5}}}{{2{c_1}}} and (σ∞σye)c {\left(\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}\right)_c} .

Fig. 21

Variation between Γ6rB \frac{{{{\rm{\Gamma }}_6}}}{{{r_B}}} and (σ∞σye)a {\left( {\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}} \right)_a} .
Variation between Γ6rB \frac{{{{\rm{\Gamma }}_6}}}{{{r_B}}} and (σ∞σye)a {\left( {\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}} \right)_a} .

Fig. 22

Variation between Γ6rB \frac{{{{\rm{\Gamma }}_6}}}{{{r_B}}} and (σ∞σye)b {\left( {\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}} \right)_b} .
Variation between Γ6rB \frac{{{{\rm{\Gamma }}_6}}}{{{r_B}}} and (σ∞σye)b {\left( {\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}} \right)_b} .

Fig. 23

Variation between Γ5rC \frac{{{{\rm{\Gamma }}_5}}}{{{r_C}}} and (σ∞σye)c {\left( {\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}} \right)_c} .
Variation between Γ5rC \frac{{{{\rm{\Gamma }}_5}}}{{{r_C}}} and (σ∞σye)c {\left( {\frac{{{\sigma _\infty}}}{{{\sigma _{ye}}}}} \right)_c} .
eISSN:
2083-134X
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Materials Sciences, other, Nanomaterials, Functional and Smart Materials, Materials Characterization and Properties
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