Q3 [Total 2 marks] The 3-dimensional state of strain at a material point in x, y, z coordinates is given by: E XX yx [ε ] = ε, Επι Ex xy E. E x2 yy Eyz επ Επ 0 0 0 = 0 -1 -3*104 0-3 5 (a) Calculate the characteristic equation and determine the principal strains for the three-dimensional state of strain [1 mark]; (b) Calculate the volumetric strain and the deviatoric strain invariants [1 mark].

Elements Of Electromagnetics
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Publisher:Sadiku, Matthew N. O.
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Q3 [Total 2 marks] The 3-dimensional state of strain at a material point in x, y, z
coordinates is given by:
E
XX
yx
[ε ] = ε,
Επι
Ex
xy
E.
E
x2
yy
Eyz
επ
Επ
0 0
0
= 0 -1 -3*104
0-3
5
(a) Calculate the characteristic equation and determine the principal strains for the
three-dimensional state of strain [1 mark];
(b) Calculate the volumetric strain and the deviatoric strain invariants [1 mark].
Transcribed Image Text:Q3 [Total 2 marks] The 3-dimensional state of strain at a material point in x, y, z coordinates is given by: E XX yx [ε ] = ε, Επι Ex xy E. E x2 yy Eyz επ Επ 0 0 0 = 0 -1 -3*104 0-3 5 (a) Calculate the characteristic equation and determine the principal strains for the three-dimensional state of strain [1 mark]; (b) Calculate the volumetric strain and the deviatoric strain invariants [1 mark].
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