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].
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
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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![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].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefb4df56-1a59-4d0b-8f87-2a5d1458ac7e%2F2b60a0a8-6e30-47bf-a0b9-840407b9aef7%2Fql6n5gk_processed.png&w=3840&q=75)
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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