Question:
The law which states that fracture occurs when the resolved normal stress on a plane reaches a critical value is
The law which states that fracture occurs when the resolved normal stress on a plane reaches a critical value is
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Griffith theory explains brittle fracture based on crack propagation energy balance.
Updated On: Jun 29, 2026
- Griffith law
- Nabbaro's law
- Sohncke's law
- Tresca criterion
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The Correct Option is A
Solution and Explanation
Concept:
Griffith’s theory of brittle fracture is based on crack propagation and energy balance. It states that fracture occurs when the stress at a crack reaches a critical value sufficient to propagate the crack.
Step 1: Griffith criterion.
For a crack of length $2a$, fracture occurs when: \[ \sigma_c = \sqrt{\frac{2E\gamma}{\pi a}} \] where:
• $E$ = Young’s modulus
• $\gamma$ = surface energy
• $a$ = crack half-length
Step 2: Physical meaning.
Fracture occurs when normal stress on crack plane exceeds critical stress required to create new surfaces. Final Answer: \[ \boxed{\text{Griffith law}} \]
Step 1: Griffith criterion.
For a crack of length $2a$, fracture occurs when: \[ \sigma_c = \sqrt{\frac{2E\gamma}{\pi a}} \] where:
• $E$ = Young’s modulus
• $\gamma$ = surface energy
• $a$ = crack half-length
Step 2: Physical meaning.
Fracture occurs when normal stress on crack plane exceeds critical stress required to create new surfaces. Final Answer: \[ \boxed{\text{Griffith law}} \]
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