Practice Decomposition Of The Tensors (1.6) - Similarity between Stress and Strain tensors

Practice: Decomposition of the tensors

Lesson 1.6Similarity between Stress and Strain tensors

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does the volumetric strain tensor represent?
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Think about what happens to volume when an object compresses.
Question 2.
What is the trace of the strain deviator?
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Recall the characteristics of the deviatoric part.
3Question 3.
What does the volumetric strain tensor represent?
- Shape distortion
- Volume change
- Both
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Focus on the definition of volumetric strain.
4Question 4.
True or False: The trace of the strain deviator is equal to one.
- True
- False
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Remember what 'trace' means in tensor analysis.
Question 5.
Given a specific deformation scenario, describe how the volumetric and deviatoric strains would change under an external load in compressive versus tensile conditions.
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Think about how hypertrophy and atrophy works in engineering contexts.
Question 6.
Construct a strain tensor from a given set of volumetric and deviatoric components, then validate your results.
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Use tensors' properties and components' definitions to ensure accuracy.

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