For the fourth-order isotropic tensor given in Exercise 1.9, show that if = ,
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For the fourth-order isotropic tensor given in Exercise 1.9, show that if β = γ , then the tensor will have the following symmetry Cijkl = Cklij.
Data from exercise 1.9
The most general form of a fourth-order isotropic tensor can be expressed by:
where α, β, and γ are arbitrary constants. Verify that this form remains the same under the
general transformation given by (1.5.1)5.
Equation 1.5.1
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Related Book For
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.
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