Question:medium

Match the concepts listed in Column I with the associated terms listed in Column II.
Column IColumn II
(P) Paris Law(1) Creep
(Q) Schmid Factor(2) Fatigue
(R) Larson-Miller Parameter(3) Dynamic Strain Aging
(S) Portevin-Le Chatelier Effect(4) Critical Resolved Shear Stress

Show Hint

Match each named law or parameter to the single mechanical-behavior phenomenon it is used to predict.
Updated On: Jul 28, 2026
  • P-3, Q-1, R-2, S-4
  • P-2, Q-4, R-1, S-3
  • P-2, Q-4, R-3, S-1
  • P-1, Q-3, R-2, S-4
Show Solution

The Correct Option is B

Solution and Explanation

Each term in Column I belongs to one of three areas of mechanical behavior: fatigue, plastic deformation by slip, or creep. Column II lists one word for each area plus a fourth term, Critical Resolved Shear Stress, naming the slip threshold itself. Check each option against this grouping.

  1. (A) P-3, Q-1, R-2, S-4: puts Paris Law under Dynamic Strain Aging, but Paris Law is a fatigue crack growth law, not a strain aging effect. Wrong.
  2. (B) P-2, Q-4, R-1, S-3: Paris Law under Fatigue, Schmid Factor under Critical Resolved Shear Stress, Larson-Miller under Creep, Portevin-Le Chatelier under Dynamic Strain Aging. Every pairing fits the physical meaning of the term. Correct.
  3. (C) P-2, Q-4, R-3, S-1: Paris Law and Schmid Factor are placed correctly, but Larson-Miller goes to Dynamic Strain Aging and Portevin-Le Chatelier goes to Creep, the reverse of what these two terms describe. Wrong.
  4. (D) P-1, Q-3, R-2, S-4: places Paris Law under Creep and Schmid Factor under Dynamic Strain Aging, neither of which is correct, since Paris Law is a fatigue relation and Schmid Factor is a slip geometry term. Wrong.

Only option (B) assigns every term to the phenomenon it actually belongs to.

Let's summarize:

  • Paris Law: fatigue crack growth rate versus stress intensity range.
  • Schmid Factor: geometric factor linked to the resolved shear stress that triggers slip, tied to CRSS.
  • Larson-Miller Parameter: combines time and temperature to predict creep rupture life.
  • Portevin-Le Chatelier Effect: serrated flow caused by dynamic strain aging.

So the correct match is P-2, Q-4, R-1, S-3, option (B).

Was this answer helpful?
0

Questions Asked in GATE MT exam