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
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

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?**

---

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Theories of Failure
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY