Elasticity Tensor and Projections In the lecture, we discussed the fact that the elasticity tensor Diso = K · E+2G.(1 -

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Elasticity Tensor And Projections In The Lecture We Discussed The Fact That The Elasticity Tensor Diso K E 2g 1 1 (45.6 KiB) Viewed 43 times

Elasticity Tensor and Projections In the lecture, we discussed the fact that the elasticity tensor Diso = K · E+2G.(1 - E) is based on a projection on the volume changing (shape preserving) and the pure shear strain part. To this end, we have to check the basic properties of a projection operation below. a) Show {E: JE= JE b) Show furthermore (I - E): (I – }E) = (I – JE). c) Finally show (I - E)E=0, where 0 denotes the zero tensor of 4'h rank. = - = : =