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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

1. What are the elastic modulus (E) and the Poisson's ratio () used to indicate? 2. Illustrate the differences between actual stress and engineered stress with strain, and also describe their underlying physical concepts. 3. If the engineering strain is 2% for a specific state of uniaxial stress, what is the real strain? Please solve for all in full detail and step by step
tensile test is performed on metal specimen and it found that a true plastic strain of 0.02 is produced when a true stress of 345 MPa is applied. How much will a specimen of this material elongate when a true stress of 415 MPa is applied if the original length is 500 mm. Assume that the value of 0.22 for strain hardening exponent.
(SI Units) In a tensile test on a steel specimen, true strain = 0.11 at a stress of 245 MPa. When true stress = 340 MPa, true strain = 0.31. Determine the strength coefficient and the strain-hardening exponent in the flow curve equation.
A cylindrical specimen of brass that has a diameter of 21 mm, a tensile modulus of 122 GPa, and a Poisson’s ratio of 0.37 is pulled in tension with force of 38704 N. If the deformation is totally elastic, what is the strain experienced by the specimen?
Draw a typical stress vs strain tensile test curve for the following materials (two seperate graphs) and label the axis. A ductile metallic test specimen that is stretched to failure displaying a characteristic yield point and show the following parts on the curve. 1- Yield point 2- Ultimate Tensile Strength 3- Breaking point 4- Elastic Region 5- Plastic Region 6- Necking region
A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in tension with a force of 40, 000 N. If the deformation is totally elastic, what is the strain experienced by the specimen along the longitudinal direction?
A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in tension with a force of 40, 000 N. If the deformation is totally elastic, what is the strain experienced by the specimen along the lateral direction?
A cylindrical specimen of brass that has a diameter of 15 mm, a tensile modulus of 120 GPa, and a Poisson’s ratio of 0.30 is pulled in tension with force of 50,000 N. If the deformation is totally elastic, what is the approximate strain experienced by the specimen?
The strength coefficient and strain-hardening exponent of a certain test metal are 750 MPa and 0.25, respectively. A cylindrical specimen of the metal with starting diameter = 75 mm is stretched. If the average flow stress on the part is 450 MPa determine the final diameter of the specimen.
A steel rod is subjected to a force of 5 kN. The initial length of the rod is 690 mm and after elongation its length is equal to 700 mm. Estimate engineering and true strain.
"The maximum principal stress yield criterion is an appropriate choice for ductile materials but the maximum principal strain criterion is preferable". Is this true or false?
Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross-sectional areas (while maintaining their circular cross-sections). For one specimen, the initial and deformed radii are 15mm and 12mm, respectively. The second specimen, with an initial radius of 11mm, must have the same deformed hardness as the first specimen. Compute the second specimen’s radius after deformation.