Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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can someone explain how we get to this answer 

(b) The formula for the elasto-plastic tangent is on the formula sheet [Dep] = [de] 109] [11-| {f₁0 }{f₁0}T [De] {f₁0}T [De] {f₁0 } we have [De] from part (a) so the students just need to calculate the derivative of the yield function with respect to stress, {f, } {f₁o} = {1 0 -1}. Looking at different components of [Dep] (all in GPa) 1 0 1 270 135 135 135 0 - 135 {f₁0}{f₁0}T [De] = ооо E 135 270 135 = 0 0 0 1 0 1 || 135 135 270 J -135 0 135
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Transcribed Image Text:(b) The formula for the elasto-plastic tangent is on the formula sheet [Dep] = [de] 109] [11-| {f₁0 }{f₁0}T [De] {f₁0}T [De] {f₁0 } we have [De] from part (a) so the students just need to calculate the derivative of the yield function with respect to stress, {f, } {f₁o} = {1 0 -1}. Looking at different components of [Dep] (all in GPa) 1 0 1 270 135 135 135 0 - 135 {f₁0}{f₁0}T [De] = ооо E 135 270 135 = 0 0 0 1 0 1 || 135 135 270 J -135 0 135
[De] = 270 135 135 135 270 135 135 135 270 GPa
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Transcribed Image Text:[De] = 270 135 135 135 270 135 135 135 270 GPa
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hi thank you for your reply when you have put the matrix 135 0 -135,000,-135 0 135 why are the top left and bottom right corner 135 and not 270 ?

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sorry also why have you put 1/270 x the matric i dont see that in the formula ?

how is the final result obtained 202.5 135 202.5 etc

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Follow-up Question

hi thank you for your reply when you have put the matrix 135 0 -135,000,-135 0 135 why are the top left and bottom right corner 135 and not 270 ?

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Follow-up Question

sorry also why have you put 1/270 x the matric i dont see that in the formula ?

how is the final result obtained 202.5 135 202.5 etc

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