A material of youngs modulus and Poissons ratio of unity is subjected to two pri

Question

A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses σ₁ and σ₂ at a point in two dimensional stress system. The strain energy per unit volume of the material is __________

Options:

A . (σ₁² + σ₂² – 2σ₁σ₂ ) / 2E

B . (σ₁² + σ₂² + 2σ₁σ₂ ) / 2E

C . (σ₁² - σ₂² – 2σ₁σ₂ ) / 2E

D . (σ₁² - σ₂² + 2σ₁σ₂) / 2E

Answer: Option A
Answer: (a).(σ₁² + σ₂² – 2σ₁σ₂ ) / 2E

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