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Exercise 3 If the displacement field is given by Ux = kxy, uy = kxy, uz = 2k(x + y)z where k is a constant small enough to ensure applicability of the small deformation theory, (a) write down the...

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Exercise 3 If the displacement field is given by Ux = kxy, uy = kxy, uz = 2k(x + y)z where k is a constant small enough to ensure applicability of the small deformation theory, (a) write down the strain matrix (b) what is the strain in the direction nx = ny = n, =1//3 ?
Extracted text: Exercise 3 If the displacement field is given by Ux = kxy, uy = kxy, uz = 2k(x + y)z where k is a constant small enough to ensure applicability of the small deformation theory, (a) write down the strain matrix (b) what is the strain in the direction nx = ny = n, =1//3 ?
Answered 104 days After Jun 04, 2022

Solution

Aditi answered on Sep 17 2022
62 Votes
ANSWER
Given Data:
Ux = kxy, uy = kxy, uz = 2k(x + y)z – constant
a. Strain Matrix:
. Strain in direction
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