Principal Strains Assignment Help

Assignment Help: >> Strain Energy in Terms of Principal Stresses - Principal Strains

Principal Strains:

If the state of stress is given in terms of the principal stress components s1, s2 and s3, the equivalent strains components might be calculates as,

 e 1= (s 1 )/E - (v sy2) /E - (v s3 )/E

e 2= (s 2 )/E - (v s1 ) /E - (v s3 )/E

e 3= (s 3 )/E - (v s1) /E - (v s2 )/E

Alternately, we may rewrite as,

   2001_Principal Strains.png

Using abbreviations, [e] for1876_Principal Strains1.png, [s] for2158_Principal Strains2.png and [C] for = 2485_Principal Strains3.png

                                    [e] = [C ] [s]

Eq. shall be useful in writing compact expressions & simplified derivations.

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