2.2.1 - Minor Symmetry
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Practice Questions
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What is minor symmetry?
💡 Hint: Think about how the tensor describes the relationship between stress and strain.
How does minor symmetry affect the number of independent material constants?
💡 Hint: Consider how it simplifies the equations you would use.
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Interactive Quizzes
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What does minor symmetry imply about the stiffness tensor?
💡 Hint: Focus on the relationship between indices in the tensor.
True or False: Minor symmetry means that all components of the stiffness tensor are independent.
💡 Hint: Consider the implications of symmetry in physical properties.
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Challenge Problems
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If a stiffness tensor C_{ijkl} is presented, demonstrate how minor symmetry applies and derive the implications of this property.
💡 Hint: Consider symmetry transformations and how they affect equations.
Calculate the number of independent constants in a hypothetical material that has both minor and major symmetries.
💡 Hint: Follow sequentially through the symmetries to count independent constants.
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