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Strength of Materials
Stress & Strain
GATE 2015
Easy

Which one of the following types of stress-strain relationship best describes the behaviour of brittle materials, such as ceramics and thermosetting plastics, (σ=stress and ε=strain)? (A) linear rise then a long constant-stress plateau; (B) linear rise, a kink, then a shallower continued rise; (C) a flat constant-stress line with no initial rise; (D) a short, steep, nearly-linear rise ending abruptly with no plateau.

  • Alinear rise then a long constant-stress plateau (ductile, perfectly-plastic style)
  • Blinear rise, a kink, then a shallower continued rise (strain-hardening ductile style)
  • Ca flat constant-stress line with no initial rise
  • a short, steep, nearly-linear rise ending abruptly with no plateau

Explanation

Brittle materials like ceramics and thermosetting plastics fracture suddenly at small strain with essentially no yielding or plastic plateau — a short, steep, nearly-linear stress-strain curve that ends abruptly at fracture, unlike ductile materials which show yielding/plateau or strain-hardening behavior.

Source: GATE ME 2015 (Session 1) (2015)

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