GATE_AE_2027_MOCK_05_Q64 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) MCQ · 2 Marks
Aerospace Structures • Aerospace Materials & Fatigue • Stress-Strain Behavior & Failure Theories

For a brittle aerospace ceramic material, which failure theory provides the most accurate prediction of fracture under multi-axial stress?

(A) Maximum Normal Stress theory (Rankine)
(B) Maximum Shear Stress theory (Tresca)
(C) Distortion Energy theory (von Mises)
(D) Maximum Shear Strain Energy theory
Answer Key:
A

Step-by-Step Verified Solution

### Solution: Brittle materials fail primarily by tensile separation across cleavage planes with minimal plastic deformation, making the Maximum Normal Stress (Rankine) theory the most appropriate predictor. Correct: A.
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