Question

Levy–Mises equations are valid for

• A. Soft material
• B. Ideal plastic material with elastic region
• C. Hardened material
• D. Ideal plastic material

Hint:

Levy–Mises equations are best suited for \textbf{ideal plastic materials} under the assumption of incompressibility and perfect plastic flow.

Answer 1

The Correct Option is D

Step 1: Understanding Levy–Mises Equations The Levy–Mises equations describe the relationship between the plastic strain rate and the deviatoric stress in an ideally plastic, incompressible material. They are used extensively in plasticity theory for materials that yield according to the von Mises yield criterion. Step 2: Applicability These equations are derived under the assumption that: - The material is incompressible during plastic deformation. - The material exhibits perfectly plastic behavior (no strain hardening or softening). - There is no elastic strain component during plastic flow. Hence, Levy–Mises equations are valid for an ideal plastic material, which does not exhibit elastic or strain-hardening behavior after yielding.