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2) Large Deformation Material Properties: Consider a material with a constitutive law: 0=85+25€0.35 MPa. a. Find the strain at necking for this material. b. Find the ultimate tensile strength. c. A solid bar (manufactured from this material) with an initial diameter of 6 mm is reduced a diameter of 4 mm. How much force is required to achieve this deformation?

2) Large Deformation Material Properties: Consider a material with a constitutive law: 0=85+25€0.35 MPa. a. Find the strain at necking for this material. b. Find the ultimate tensile strength. c. A solid bar (manufactured from this material) with an initial diameter of 6 mm is reduced a diameter of 4 mm. How much force is required to achieve this deformation?

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
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**Large Deformation Material Properties:** Consider a material with a constitutive law: \(\sigma = 85 + 25\varepsilon^{0.35}\) MPa. a. Find the strain at necking for this material. b. Find the ultimate tensile strength. c. A solid bar (manufactured from this material) with an initial diameter of 6 mm is reduced to a diameter of 4 mm. How much force is required to achieve this deformation? d. Find the average flow stress for the operation described in part c (\(\varepsilon_1=0\) to the \(\varepsilon_2\) required to reduce the diameter from 6 mm to 4 mm).
Transcribed Image Text:**Large Deformation Material Properties:** Consider a material with a constitutive law: \(\sigma = 85 + 25\varepsilon^{0.35}\) MPa. a. Find the strain at necking for this material. b. Find the ultimate tensile strength. c. A solid bar (manufactured from this material) with an initial diameter of 6 mm is reduced to a diameter of 4 mm. How much force is required to achieve this deformation? d. Find the average flow stress for the operation described in part c (\(\varepsilon_1=0\) to the \(\varepsilon_2\) required to reduce the diameter from 6 mm to 4 mm).
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