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You do a series of tensile tests on plates of a magnesium alloy that have been subjected to prior cold rolling to true plastic strains of 0.1, 0.2 and 0.3. The resulting true stress-true strain curves are shown below (including a zoomed in version expanding on the small strain region). It is reasonable to approximate the the 0.2% offset yield strength of the magnesium as ✓ MPa for 0.1 plastic strain, ✓ MPa for 0.2 and ✓ MPa for 0.3. Assuming the yield strength is proportional to the square root of the prior true plastic strain results in a hardening coefficient of approximately k= ✓ MPa. Hence, we can predict that we need a prior plastic strain of approximately ✓to obtain a yield strength of 99 MPa.

You do a series of tensile tests on plates of a magnesium alloy that have been subjected to prior cold rolling to true plastic strains of 0.1, 0.2 and 0.3. The resulting true stress-true strain curves are shown below (including a zoomed in version expanding on the small strain region). It is reasonable to approximate the the 0.2% offset yield strength of the magnesium as ✓ MPa for 0.1 plastic strain, ✓ MPa for 0.2 and ✓ MPa for 0.3. Assuming the yield strength is proportional to the square root of the prior true plastic strain results in a hardening coefficient of approximately k= ✓ MPa. Hence, we can predict that we need a prior plastic strain of approximately ✓to obtain a yield strength of 99 MPa.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The choice of the blank:
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You do a series of tensile tests on plates of a magnesium alloy that have been subjected to prior cold rolling to true plastic strains of 0.1, 0.2 and 0.3. The resulting true stress-true strain curves are shown below (including a zoomed in version expanding on the small strain region). It is reasonable to approximate the the 0.2% offset yield strength of the magnesium as ✓ MPa for 0.1 plastic strain, ✓ MPa for 0.2 and ✓ MPa for 0.3. Assuming the yield strength is proportional to the square root of the prior true plastic strain results in a hardening coefficient of approximately k= ✓ to obtain a yield strength of 99 MPa. ✓ MPa. Hence, we can predict that we need a prior plastic strain of approximately True Stress (MPa) 250 200 150 100 50 0 0.00 Ep = 0.1 0.01 0.02 0.03 True Strain 0.04 0.05 True Stress (MPa) Ep = 0.1 0.000 0.001 Zoomed version of left plot 0.002 0.003 0.004 0.005 0.006 True Strain
Transcribed Image Text:You do a series of tensile tests on plates of a magnesium alloy that have been subjected to prior cold rolling to true plastic strains of 0.1, 0.2 and 0.3. The resulting true stress-true strain curves are shown below (including a zoomed in version expanding on the small strain region). It is reasonable to approximate the the 0.2% offset yield strength of the magnesium as ✓ MPa for 0.1 plastic strain, ✓ MPa for 0.2 and ✓ MPa for 0.3. Assuming the yield strength is proportional to the square root of the prior true plastic strain results in a hardening coefficient of approximately k= ✓ to obtain a yield strength of 99 MPa. ✓ MPa. Hence, we can predict that we need a prior plastic strain of approximately True Stress (MPa) 250 200 150 100 50 0 0.00 Ep = 0.1 0.01 0.02 0.03 True Strain 0.04 0.05 True Stress (MPa) Ep = 0.1 0.000 0.001 Zoomed version of left plot 0.002 0.003 0.004 0.005 0.006 True Strain
True Stress (MPa) True Stress (MPa) 250 200 150 100 50 0 0.00 250 200 150 100 50 0+ 0.00 Ep = 0.2 0.01 Ep = 0.3 0.01 0.02 0.03 True Strain 0.02 0.03 True Strain 0.04 0.04 0.05 rue Stress (MPa) Ep = 0.2 0.000 0.001 True Stress (MPa) Ep = 0.3 0.002 0.05 0.000 0.001 0.002 Zoomed version of left plot 0.003 0.004 0.005 0.006 True Strain Zoomed version of left plot 0.003 0.004 0.005 0.006 True Strain Ⓒ
Transcribed Image Text:True Stress (MPa) True Stress (MPa) 250 200 150 100 50 0 0.00 250 200 150 100 50 0+ 0.00 Ep = 0.2 0.01 Ep = 0.3 0.01 0.02 0.03 True Strain 0.02 0.03 True Strain 0.04 0.04 0.05 rue Stress (MPa) Ep = 0.2 0.000 0.001 True Stress (MPa) Ep = 0.3 0.002 0.05 0.000 0.001 0.002 Zoomed version of left plot 0.003 0.004 0.005 0.006 True Strain Zoomed version of left plot 0.003 0.004 0.005 0.006 True Strain Ⓒ
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