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In a linearly hardening plastic material, the true stress beyond initial yielding

  • A.increases linearly with the true strain
  • B.decreases linearly with the true strain
  • C.first increases linearly and then decreases linearly with the true strain
  • D.remains constant

Answer: A

The true stress increases linearly with the true strain.

A linear hardening (bilinear) material model has two straight segments: elastic loading up to yield, then a plastic segment of smaller but positive slope, the tangent or hardening modulus. Beyond yield the stress keeps rising in proportion to the plastic strain.

A constant stress after yield describes an elastic-perfectly plastic material, with no hardening. A decreasing stress would be softening, and "first increases then decreases" describes necking in an engineering stress-strain curve, not a linear hardening law.

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