The 3-dimensional state of strain at a material point in x, y, z Q4 coordinates is given by: E XX [ε] = E xy Ex E ZX Eyy Eyz E Ezy ZZ || -120 0-150 0 0 0 -150 0 240 *10-6 Calculate the volumetric strain and the deviatoric strain invariants (b) Calculate the mean stress and the deviatoric stress tensor (c) Write the characteristic equation of strain (d) Write the characteristic equation of stress The material is linear elastic (E=210GPa, v=0.3).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The 3-dimensional state of strain at a material point in x, y, z
Q4
coordinates is given by:
E
XX
[ε] = E
xy
Exz
E
EN
E
ZX
Ezy
Eyz E
ZZ
||
-120 0-150
0
0
0
-150 0 240
*10-6
Calculate the volumetric strain and the deviatoric strain invariants
(b) Calculate the mean stress and the deviatoric stress tensor
(c) Write the characteristic equation of strain
(d) Write the characteristic equation of stress
The material is linear elastic (E=210GPa, v=0.3).
Transcribed Image Text:The 3-dimensional state of strain at a material point in x, y, z Q4 coordinates is given by: E XX [ε] = E xy Exz E EN E ZX Ezy Eyz E ZZ || -120 0-150 0 0 0 -150 0 240 *10-6 Calculate the volumetric strain and the deviatoric strain invariants (b) Calculate the mean stress and the deviatoric stress tensor (c) Write the characteristic equation of strain (d) Write the characteristic equation of stress The material is linear elastic (E=210GPa, v=0.3).
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