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Discussion

Consider the following statements about the Paris law:

1. It relates crack growth per cycle to the stress intensity range.

2. Its exponent is typically between three and four for metals.

3. It applies across the whole range from threshold to fracture.

Which of the statements given above is or are correct?

  • A.1, 2 and 3
  • B.1 and 2 only
  • C.1 and 3 only
  • D.2 and 3 only

Answer: B

Correct answer: 1 and 2 only

Statements 1 and 2 are correct: \( da/dN = C(\Delta K)^m \), with \( m \) typically three to four for metals. Statement 3 overstates its range. The law describes the straight middle portion of the growth curve only; near the threshold the growth falls away far more steeply, and near the toughness it accelerates far more sharply than the power law predicts.

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