Problem 3 (10 pts). When using linear shape functions to solve the multiphysics thermo- elastic problem considered in class, we found that the stress in the rod is affected by unphys- ical oscillations like the following plot E*(ux-a*T) 35000 30000 25000 20000 15000 10000 5000 0 -5000 H -10000 Line Graph: E*(ux-a*T) MULTIPHU 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Arc length (a) [10pts] What is the origin of this issue and how can we fix it?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
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Problem 3 (10 pts). When using linear shape functions to solve the multiphysics thermoelastic problem considered in class, we found that the stress in the rod is affected by unphysical oscillations like the following plot
(a) [10pts] What is the origin of this issue and how can we fix it?

Problem 3 (10 pts). When using linear shape functions to solve the multiphysics thermo-
elastic problem considered in class, we found that the stress in the rod is affected by unphys-
ical oscillations like the following plot
E*(ux-a*T)
35000
30000
25000
20000
15000
10000
5000
0
-5000 H
-10000
Line Graph: E*(ux-a*T)
MULTIPHU
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Arc length
(a) [10pts] What is the origin of this issue and how can we fix it?
Transcribed Image Text:Problem 3 (10 pts). When using linear shape functions to solve the multiphysics thermo- elastic problem considered in class, we found that the stress in the rod is affected by unphys- ical oscillations like the following plot E*(ux-a*T) 35000 30000 25000 20000 15000 10000 5000 0 -5000 H -10000 Line Graph: E*(ux-a*T) MULTIPHU 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Arc length (a) [10pts] What is the origin of this issue and how can we fix it?
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