Material Science - Mechanical Strength - Numerical - AMIE (Winter 2019)
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The document provides an example problem and solution from an AMIE exam on material science. The problem involves estimating the fracture strength of a glass sample with a crack half length of 2 micrometers, given the glass's Young's modulus of 70 GNm-2 and specific surface energy of 1 Jm-2. The solution uses a formula for critical fracture stress that relates the stress to the Young's modulus, crack length, and surface energy. Plugging in the given values yields an estimated fracture strength of 150 MNm-2.
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- 1. MATERIAL SCIENCE Web: www.amiestudycircle.com Ph/WA: +91 9412903929 1/2 AMIE(I) STUDY CIRCLE(REGD.) STUDY MATERIAL FOR AMIE EXAMS Example (AMIE S08, 14, W19, 5 marks) A sample of glass has a crack of half length 2 m. The Young’s modulus of the glass is 70 GNm-2 and the specific surface energy is 1 Jm-2 . Estimate its fracture strength.
- 2. MATERIAL SCIENCE Web: www.amiestudycircle.com Ph/WA: +91 9412903929 2/2 AMIE(I) STUDY CIRCLE(REGD.) STUDY MATERIAL FOR AMIE EXAMS Solution The formula for critical fracture stress is s 2 Y c where is surface energy per unit area. Putting values 9 2 f 6 2x1x 70x10 150MNm 3.14x 2x10