Consider the mapping in 2-D only = X1 +7X2 = X1+ uz *2 = (1+e)X2 = X2+ Uz. (1) 1. In terms of y and a compute F, i.c. the Fij's and then compute the Cy = FF.; recall F = F. Now do the following. 2. Take two fibers, viz. dX = e; and dY = e2, that is two fibers of unit length along the e, and ez axes, respectively in the reference state. Compute the stretch of dX and dY. 3. Compute the small strains from this mapping with u = X2 and uz = eX, from above. What would these small strains suggest for the change in lengths of dX and dY?

Consider the mapping in 2-D only = X1 +7X2 = X1+ uz *2 = (1+e)X2 = X2+ Uz. (1) 1. In terms of y and a compute F, i.c. the Fij's and then compute the Cy = FF.; recall F = F. Now do the following. 2. Take two fibers, viz. dX = e; and dY = e2, that is two fibers of unit length along the e, and ez axes, respectively in the reference state. Compute the stretch of dX and dY. 3. Compute the small strains from this mapping with u = X2 and uz = eX, from above. What would these small strains suggest for the change in lengths of dX and dY?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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