Net Strain Energy Density Assignment Help

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

Net Strain Energy Density:

Net strain energy density in an element subjected to a general stress field can be obtained by adding (algebraically) the energy density because of all the stress components. That is

u = ½  [s 1 e 1+ s 2 e2 + s3 e3 ] = ½ s Te  

but e = Cs

∴ u = ½ sT Cs

Eq. can, if desired, be expanded as,

1205_Principal Strains4.png

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