1.6 - Decomposition of the tensors
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Practice Questions
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What does the volumetric strain tensor represent?
💡 Hint: Think about what happens to volume when an object compresses.
What is the trace of the strain deviator?
💡 Hint: Recall the characteristics of the deviatoric part.
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Interactive Quizzes
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What does the volumetric strain tensor represent?
💡 Hint: Focus on the definition of volumetric strain.
True or False: The trace of the strain deviator is equal to one.
💡 Hint: Remember what 'trace' means in tensor analysis.
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Challenge Problems
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Given a specific deformation scenario, describe how the volumetric and deviatoric strains would change under an external load in compressive versus tensile conditions.
💡 Hint: Think about how hypertrophy and atrophy works in engineering contexts.
Construct a strain tensor from a given set of volumetric and deviatoric components, then validate your results.
💡 Hint: Use tensors' properties and components' definitions to ensure accuracy.
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