The von mises criterion is to be used for yield predicitons of a given metal. Under plane strain deformation where is zero, make a sketch of the von Mises ellipse for the first quadrant in σ, & stress space and a) indicate how the strain increments de 1 and dɛ2 would look on the plot where normality prevails. b) Determine the plastic work increment in terms of the principal stresses and strain increments. c) Explain your anwer in (b) with reference to the plot in (a). [Hint : you may want to assume #2 = 0; for plasticity flow, v = 0.5 due to volume conservation]

Elements Of Electromagnetics
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The von mises criterion is to be used for yield predicitons of a given metal. Under plane strain
deformation where is zero, make a sketch of the von Mises ellipse for the first quadrant in o, &
₂ stress space and a) indicate how the strain increments dɛ1 and dɛ2 would look on the plot
where normality prevails. b) Determine the plastic work increment in terms of the principal
stresses and strain increments. c) Explain your anwer in (b) with reference to the plot in (a). [Hint
: you may want to assume &2 = 0; for plasticity flow, v = 0.5 due to volume conservation]
Transcribed Image Text:The von mises criterion is to be used for yield predicitons of a given metal. Under plane strain deformation where is zero, make a sketch of the von Mises ellipse for the first quadrant in o, & ₂ stress space and a) indicate how the strain increments dɛ1 and dɛ2 would look on the plot where normality prevails. b) Determine the plastic work increment in terms of the principal stresses and strain increments. c) Explain your anwer in (b) with reference to the plot in (a). [Hint : you may want to assume &2 = 0; for plasticity flow, v = 0.5 due to volume conservation]
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