Mechanical Engineering Exam > Mechanical Engineering Questions > The number of independent elastic constants r...
Start Learning for Free
The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material is
- a)one
- b)two
- c)three
- d)four
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The number of independent elastic constants required to express the st...
Understanding Elastic Constants
In the context of linearly elastic isotropic materials, the stress-strain relationship can be defined using elastic constants. These constants help in describing how the material deforms under applied stress.
Isotropic Materials
- Isotropic materials have the same properties in all directions.
- This uniformity simplifies the stress-strain relationship, making it easier to characterize their behavior.
Elastic Constants Required
- For isotropic materials, two independent elastic constants are sufficient to fully describe the stress-strain relationship.
- The two commonly used constants are:
- Young's Modulus (E): Measures the stiffness of the material and defines the relationship between tensile stress and tensile strain.
- Poisson's Ratio (ν): Describes the ratio of lateral strain to axial strain in the material when it is stretched.
Why Only Two?
- The relationship between stress and strain can be expressed through Hooke's Law, which for isotropic materials can be formulated using these two constants.
- All other elastic constants (like shear modulus) can be derived from E and ν.
Conclusion
- Thus, for linearly elastic isotropic materials, only two independent elastic constants are needed to express the complete stress-strain relationship, confirming that the correct answer is option 'B'.
In the context of linearly elastic isotropic materials, the stress-strain relationship can be defined using elastic constants. These constants help in describing how the material deforms under applied stress.
Isotropic Materials
- Isotropic materials have the same properties in all directions.
- This uniformity simplifies the stress-strain relationship, making it easier to characterize their behavior.
Elastic Constants Required
- For isotropic materials, two independent elastic constants are sufficient to fully describe the stress-strain relationship.
- The two commonly used constants are:
- Young's Modulus (E): Measures the stiffness of the material and defines the relationship between tensile stress and tensile strain.
- Poisson's Ratio (ν): Describes the ratio of lateral strain to axial strain in the material when it is stretched.
Why Only Two?
- The relationship between stress and strain can be expressed through Hooke's Law, which for isotropic materials can be formulated using these two constants.
- All other elastic constants (like shear modulus) can be derived from E and ν.
Conclusion
- Thus, for linearly elastic isotropic materials, only two independent elastic constants are needed to express the complete stress-strain relationship, confirming that the correct answer is option 'B'.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer?
Question Description
The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer?.
The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The number of independent elastic constants required to express the stress-strain relationshipfor a linearly elastic isotropic material isa)oneb)twoc)threed)fourCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup