Q-3 A continuum bcc structure is deformed elastically by x, y, and z directional mechanical forces (Shear type). Find the propagation speed (vs) (for both longitudinal and transverse vibrations) of the elastic waves propagating along [111] direction to dissipate the gained elastic energy through the sample. The necessary equations can be obtained from the equation given below for the displacement vector R = R₂ + R₂ŷ + R₂2 p(0²Rx/t²) = C₁1(@²Rx / x²)+ C44 (0²Rx/y²+ ²Rx /z²)+(C12+C44)(@²Ry/Ox0y+ O²R₂/0x0z) Here, C11, C44, C12 and p are the moduli of elasticity (Stiffness constants) and the mass density of the bcc structure, respectively.

Q-3 A continuum bcc structure is deformed elastically by x, y, and z directional mechanical forces (Shear type). Find the propagation speed (vs) (for both longitudinal and transverse vibrations) of the elastic waves propagating along [111] direction to dissipate the gained elastic energy through the sample. The necessary equations can be obtained from the equation given below for the displacement vector R = R₂ + R₂ŷ + R₂2 p(0²Rx/t²) = C₁1(@²Rx / x²)+ C44 (0²Rx/y²+ ²Rx /z²)+(C12+C44)(@²Ry/Ox0y+ O²R₂/0x0z) Here, C11, C44, C12 and p are the moduli of elasticity (Stiffness constants) and the mass density of the bcc structure, respectively.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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