Demonstrate that Equation 6.16, the expression defining true strain, may also be represented by ET = In Ao A₁ when specimen volume remains constant during deformation. Which of these two expressions is more valid during necking? Why?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Equation 6.16:

εT = ln(li / l0)

**Demonstrate that Equation 6.16, the expression defining true strain, may also be represented by**

\[ \varepsilon_T = \ln \left( \frac{A_0}{A_i} \right) \]

**when specimen volume remains constant during deformation. Which of these two expressions is more valid during necking? Why?**

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This text discusses the verification of a true strain expression during deformation, specifically analyzing conditions where the specimen's volume remains constant. It prompts the reader to determine the validity of the given expressions during the necking phase of material deformation, encouraging an understanding of true strain and its application in material science.
Transcribed Image Text:**Demonstrate that Equation 6.16, the expression defining true strain, may also be represented by** \[ \varepsilon_T = \ln \left( \frac{A_0}{A_i} \right) \] **when specimen volume remains constant during deformation. Which of these two expressions is more valid during necking? Why?** --- This text discusses the verification of a true strain expression during deformation, specifically analyzing conditions where the specimen's volume remains constant. It prompts the reader to determine the validity of the given expressions during the necking phase of material deformation, encouraging an understanding of true strain and its application in material science.
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