GATE MT Strain tensor and stress tensor, Representation by Mohr’s circle, elasticity, stiffness and compliance tensor, Yield criteria, Plastic deformation by slip and twinning. PYQs & Answers

Questions 1–10 of 27. Imported answers require independent review unless marked reviewed.

The hydrostatic stress for the stress tensor provided below is _____ MPa (in integer).

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A cylindrical specimen is subjected to plastic deformation in tension up to a uniform elongation of 10%. The final cross-sectional area of the gage section is found to be 20 mm

The initial cross-sectional area of the gage section is _____ mm

(rounded off to an integer).

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Match the concepts listed in Column I with the phenomena listed in Column II.

Your answerChoose one option.

P – 1, Q – 2, R – 3, S – 4

P – 4, Q – 1, R – 2, S – 3

P – 3, Q – 1, R – 2, S – 4

P – 3, Q – 4, R – 2, S – 1

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A single crystal is oriented such that the normal to the slip plane makes an angle of

with the tensile axis. If the slip direction makes an angle of

with respect to the tensile axis and the critical resolved shear stress for slip is

, then the tensile stress at which plastic deformation commences is ______

. (Round off to one decimal place)

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An isotropic metallic cuboid block shown in the figure has a coefficient of linear thermal expansion

, Young’s modulus

and Poisson’s ratio

. The dimensions of the cuboid are

and

in the X, Y and Z directions, respectively. It is rigidly constrained against expansion in the X direction. However, it is free to expand in the Y and Z directions. It is initially stress-free. Subsequently, it is heated so that its temperature increases by

. What would be the CHANGE in the dimension of the cuboid in the Y direction?

Assume linear elasticity, and that thermal as well as mechanical strains are infinitesimally small.

Diagram for Metallurgical Engineering question 43

Your answerChoose one option.

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A thin plate is loaded in plane stress condition with

The maximum principal stress in

is __________ (round off to nearest integer).

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For a material that undergoes strain hardening, necking instability occurs during tensile testing when __________

Given:

= true stress and

= true strain.

Your answerChoose one option.

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Given the stress tensor

the maximum shear stress is ________ MPa (round off to the nearest integer).

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For uniaxial tensile stress-strain behaviour of polycrystalline aluminium, which one of the following statements is FALSE?

Your answerChoose one option.

True stress is always higher than the engineering stress.

At the ultimate tensile stress point on the true stress - strain curve,

Resilience is the area under the elastic region of the engineering stress - strain curve.

Maximum true stress does not correspond to the maximum load.

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A body is subjected to a state of stress given by the following stress tensor:

MPa.

If yielding is predicted by the Tresca Criterion, the uniaxial tensile yield stress (in MPa) of the body should be less than or equal to: __________ (round off to nearest integer).

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GATE MT Strain tensor and stress tensor, Representation by Mohr’s circle, elasticity, stiffness and compliance tensor, Yield criteria, Plastic deformation by slip and twinning. PYQs

How to practice Strain tensor and stress tensor, Representation by Mohr’s circle, elasticity, stiffness and compliance tensor, Yield criteria, Plastic deformation by slip and twinning.

Question 32

Question 62

Question 25

Question 34

Question 43

Question 56

Question 26

Question 63

Question 7

Question 18