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MT-1620 al.2002 Now consider the stress-strain equations (for the time being consider isotropic.extend this to orthotropic later) (13-4 E small inconsistency with previous E small inconsistency with previous E 2(+y) E 2(1+v E 2(1+v o <--inconsistency again E We get around these inconsistencies by saying that ey, Ezz, Exz are very small but not quite zero. This is an approximation. We will evaluate these later on Paul A Lagace @2001 Unit 13-9MIT - 16.20 Fall, 2002 Now consider the stress-strain equations (for the time being consider isotropic…extend this to orthotropic later) σ xx ε = (13 - 4) xx E ν σ xx ε = − <-- small inconsistency with previous yy E ν σ xx ε = − <-- small inconsistency with previous zz E ε = 21 + ν)σ xy = 0 ( xy E ( ε yz = 21 + ν)σ yz = 0 E ( ε zx = 21 + ν)σ zx <-- inconsistency again! E We get around these inconsistencies by saying that εyy, εzz, εxz are very small but not quite zero. This is an approximation. We will evaluate these later on. Paul A. Lagace © 2001 Unit 13 - 9
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