What is the equivalent stiffness matrix caused by the acoustic elastic effect? What are their equivalent elastic constants?

23 March 2023 1 3K Report

Isotropic metals in a stress free state have a stiffness matrix. Under the action of prestress, an equivalent stiffness matrix containing the third order elastic constants l, m, n can be established based on the acoustic elastic effect. Its acoustic elastic constants in the natural coordinate system are shown below. I wonder if these formulas are correct? Where can I find the formulas for these coefficients

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