Total Strain Energy Theory Explained
The theory used to predict material failure at the elastic limit based on the concept of total strain energy is crucial in mechanics of materials.
Identifying Haig's Theory
Among the given options, Haig's theory is identified as the principle related to total strain energy for determining the elastic limit failure. This theory states that a material fails when the total strain energy per unit volume reaches a specific critical value.
Core Principle
- Failure Criterion: Based on the total strain energy stored in the material.
- Applicability: Predicts failure within the elastic deformation range.
- Theory Name: Referred to as Haig's theory in this context.
Other theories listed relate to different failure criteria: Guest's or Trecas' theory often relates to shear stress or distortion energy, St. Venant's theory relates strain energy due to volume changes, and Rankine's theory typically uses the maximum principal stress.
Important Questions from Theory of Failure
According to which theory of failure does the ductile material begin to yield, when the maximum principal strain reaches the strain?
Maximum principal stress failure theory is also called _________ theory.
Total strain energy theory for the failure of a material at the elastic limit is known as
- Which of the following is applied to brittle materials?
- According to St. Venant’s theory for brittle material, the shape of the yield locus is ________.
