true strain
GATE Mechanical Engineering · Material Science - Stress-Strain Diagram · 1992-2023
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All concepts →Ignoring the small elastic region, the true stress (𝜎) – true strain (𝜀) variation of a material beyond yielding follows the equation 𝜎 = 400𝜀 0.3 MPa. The engineering ultimate...
A 4 mm thick aluminum sheet of width w = 100 mm is rolled in a two-roll mill of roll diameter 200 mm each. The workpiece is lubricated with a mineral oil, which gives a coefficient...
In a linearly hardening plastic material, the true stress beyond initial yielding
The true stress (in MPa) versus true strain relationship for a metal is given by $\sigma = 1020 \varepsilon^{0.4}$. The cross-sectional area at the start of a test (when the stress...
The true stress (σ) - true strain (ε) diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of...
A bar is compressed to half of its original length. The magnitude of true strain produced in the deformed bar is ________ (correct to two decimal places).
A rod of length $$20$$ $$mm$$ is stretched to make a rod of length $$40$$ $$mm.$$ Subsequently, it is compressed to make a rod of final length $$10$$ $$mm.$$ Consider the longitudi...
Engineering strain of a mild steel sample is recorded as $$0.100\% .$$ The true strain is
The value of true strain produced in compressing a cylinder to half its original length is
The flowing stress (in $$MPa$$) of a material is given by $$\sigma = 500{\varepsilon ^{0.1}},$$ When $$\varepsilon $$ is true strain. The Young's modulus of elasticity of the mater...
The relationship between true strain $$\left( {{\varepsilon _T}} \right)$$ and engineering strain $$\left( {{\varepsilon _E}} \right)$$ in a uniaxial tension test is given as
A metal rod of initial length $${L_0}$$ is subjected to a drawing process. The length of the rod at any instant is given by the expression, $$L\left( t \right) = {L_0}\left( {1 + {...
In open die forging, a disc of diameter $$200mm$$ height $$60mm$$ is compressed without any barreling effect. The final diameter of the disc is $$400mm.$$ The true strain is
A cylindrical billet of $$100$$ $$mm$$ diameter is forged from $$50$$ $$mm$$ height to $$40$$ $$mm$$ at $${1000^0}$$$$C$$. The material has constant flow stress of $$80$$ $$MPa.$$...
The true strain for a low carbon steel bar which is doubled in length by forging is