Question

The von Mises stress at a point in a body subjected to forces is proportional to the square root of the

• A. total strain energy per unit volume
• B. plastic strain energy per unit volume
• C. dilatational strain energy per unit volume
• D. distortional strain energy per unit volume

Hint:

Von Mises stress is used to predict yielding in ductile materials and is based on distortional strain energy, which focuses on shear deformation.

Answer 1

The Correct Option is D

The von Mises stress is a measure of the distortional strain energy in a material. It is derived from the distortional strain (shear strain) energy, which represents the energy associated with changes in shape, excluding changes in volume (dilatation). The von Mises stress is proportional to the square root of the distortional strain energy per unit volume. Thus, the correct answer is (D).