Theory for ductile materials

Q.  For designing ductile materials, which of the following theories is/are used?
- Published on 23 Sep 15

a. Maximum shear stress theory
b. Shear strain energy theory
c. Both a. and b.
d. None of the above

ANSWER: Both a. and b.


  • kujar amos   -Posted on 25 Mar 18
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  • Sravanthi   -Posted on 25 Nov 15
    - Coulomb's theory (Maximum shear stress theory) or distortion theory (Von Mises theory) are generally used for design and analysis of materials which fail in ductile manner.

    - Coulomb's theory is used for designing purpose as it is quick and easy to use. According to Coulomb's theory, material subjected to complex stresses fails, if maximum shear stress induced in the material exceeds maximum shear stress at the yield point.

    - Distortion theory is used to determine the cause of failure. According to this theory, material subjected to complex stresses fail, when total strain energy stored in it exceeds total strain energy caused due to uniaxial stress at elastic point. This theory is independent upon first stress invariant and is applicable to analysis plastic deformation of ductile materials. In ductile materials such as metals, onset of yield does not depend upon hydrostatic component of stress tensor.

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