if e11 , Example 1: (i) Find the compatibility condition for the strain tensor e22 , e12 are independent of x3 and e31 = e32 = e33 = 0. eij (ii) Find the condition under which the following are possible strain components. en = k(x? – x2), e12 = k' x1 X2 , e22 = k x1 X2 , e31 = e32 = e33 = 0 , k & k' are constants (iii) when ej given above are possible strain components corresponding displacements , given that uz = find the 0.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Example 1: (i) Find the compatibility condition for the strain tensor e; if e1 ,
e22 , e12 are independent of x3 and e31 = e32 = e33 = 0.
(ii) Find the condition under which the following are possible strain
components.
eii
= k(x,? – x2), e12 = k' x1 x2 , e22 = k x1 X2 ,
%3D
e31 = e32 = e33 = 0, k & k' are constants
(iii) when eij given above are possible strain components
corresponding displacements , given that u; = 0.
find the
Transcribed Image Text:Example 1: (i) Find the compatibility condition for the strain tensor e; if e1 , e22 , e12 are independent of x3 and e31 = e32 = e33 = 0. (ii) Find the condition under which the following are possible strain components. eii = k(x,? – x2), e12 = k' x1 x2 , e22 = k x1 X2 , %3D e31 = e32 = e33 = 0, k & k' are constants (iii) when eij given above are possible strain components corresponding displacements , given that u; = 0. find the
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