Question:
Consider the following Assertion (A): A notch increases the tendency for brittle fracture in a material. Reason (R): A notch produces high local stresses, introduces a triaxial tensile state of stress, causes local strain hardening, cracking and magnifies the local strain rate.
Consider the following Assertion (A): A notch increases the tendency for brittle fracture in a material. Reason (R): A notch produces high local stresses, introduces a triaxial tensile state of stress, causes local strain hardening, cracking and magnifies the local strain rate.
Show Hint
Notches increase triaxiality, which suppresses plastic flow and promotes brittle fracture.
Updated On: Jun 29, 2026
- Both A and R are true, and R is the correct explanation of A
- Both A and R are true, but R is not the correct explanation of A
- A is true, but R is false
- A is false, but R is true
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Concept:
Notches act as stress concentrators, increasing local stress intensity and promoting brittle fracture.
Step 1: Effect of notch.
A notch leads to:
• stress concentration
• triaxial stress state
• reduced plastic deformation
Step 2: Evaluation of assertion and reason.
• Assertion is true → notch increases brittle fracture tendency
• Reason is true → explains mechanism correctly Final Answer: \[ \boxed{\text{Both A and R are true, and R is the correct explanation of A}} \]
Step 1: Effect of notch.
A notch leads to:
• stress concentration
• triaxial stress state
• reduced plastic deformation
Step 2: Evaluation of assertion and reason.
• Assertion is true → notch increases brittle fracture tendency
• Reason is true → explains mechanism correctly Final Answer: \[ \boxed{\text{Both A and R are true, and R is the correct explanation of A}} \]
Was this answer helpful?
0
0
Top TS PGECET Metallurgical Engineering Questions
- “It is impossible for a heat engine to be 100% efficient.” This statement is related to:
- If a system is completely ordered and the atoms are at rest at zero Kelvin, then the entropy of the system is:
- Electrodes used in anodizing process are:
- Units for quantity of electricity are:
- Identify the wrong statement:
View More Questions
Top TS PGECET Fracture Mechanics Questions
- Stress intensity factor, \( K_{\text{IC}} \), not depends on
- The most serious manufacturing defect from fracture toughness point of view is
- Blue powder is the byproduct of Zinc extractions and it contains mainly:
- The sensitivity of fracture of brittle solids to surface conditions is termed as the
- The law which states that fracture occurs when the resolved normal stress on a plane reaches a critical value is
View More Questions
Top TS PGECET Questions
- If \( P = \begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{pmatrix} \) is the modal matrix of \( A = \begin{pmatrix} 1 & 1 & 0 \\ 0 & 2 & 2 \\ 0 & 0 & 3 \end{pmatrix} \) then the sum of all the elements of \( P^{-1}AP \) is
- If the system of equations \( kx + y + z = k - 1 \), \( x + ky + z = k - 1 \), and \( x + y + kz = k - 1 \) has infinite solutions, then \( k \) is
- The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is
- Let \( f(x) = \log x \). The number \( C \) strictly between \( e^2 \) and \( e^3 \) such that its reciprocal is equal to \( \frac{f(e^3) - f(e^2)}{e^3 - e^2} \) is
- The solution of the differential equation \( (D^2 + 2)y = x^2 \) is
View More Questions