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According to Von-mises, yielding occurs when J2 exceeds some constant k2 So, the minimum condition for yielding is J2=k2 Find the value of k in uniaxial tension. Given that yield strength = σo

Correct Answer: σo/√3
In the case of uniaxial tension => σ1 = σo, σ2=0, σ3=0 So according to the condition J2 = k2 => J2 = 1/6 => J2 = 1/6 => J2 = 1/3 J2 = k2 => 1/3 = k2 => k = σo/√3.

Tresca or maximum-shear stress criteria assumes that yielding occurs when the maximum shear stress reaches a value of the shear stress in the uniaxial tension test. Assume the principal stress being σ1, σ2, σ3 where σ1 is largest, and σ3 is the smallest principal stresses. Find the value of minimum shear stress to cause yielding, given that yield stress in tension is equal to σo?

Identify the correct statements from the following:
P. 0.2% yield strength of a material implies 0.2% of the yield strength.
Q. Von-Misses yield criterion implies that yielding occurs when the distortion energy reaches a critical value.
R. Radius of the cylinderical Von-Misses yield surface increases as the grain, size of a single phase material decreases.
S. Tresca's yield criterion gives a circular cylinderical surface in the space of the three principal stresses.

According to Von-mises yielding occur when J2 Exceeded some constant k2 So, the minimum condition for yielding is J2 = k2 Find the value of k in state of pure shear. Given that yield strength in pure torsion = τ.

Elastic failure of a material occurs, when the tensile stress equals yield strength, yield point or the elastic limit. Also, the elastic failure occurs according to maximum strain theory, when the maximum tensile strain equals (where, $$\sigma $$ = yield strength and E = modulus of elasticity)

From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.

The ratio of uniaxial compressive strength to uniaxial tensile strength of a sandstone specimen is 8 : 1. The theoretical, value of angle of internal friction of the specimen in degree is

Von Mises criterion for plastic yielding of a ductile metal predicts that the yield stress in uniaxial tension is related to that in pure torsion as

A metallic sheet 1 m wide and 10 mm thick is to be rolled under a front tension force of 100 KN. A specimen from the sheet, tested under tension, shows a yield stress of 100 MPa. Assume plain strain condition during rolling and ignore the friction. If yielding is assumed to start at a roll pressure of σ3 MPa, then the stress in the width direction (where strain is zero) is

The final result for von-Mises theory for the distortion relating the yield stress with stress deviator is: σo = 1/√2 1/2 Where σo yield stress in uniaxial tension.

According to principal stress theory, which option represents the correct relation between yield strength in shear (YSS) and the yield strength in tension (YST)?