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Question 1: Show that (3.48) satisfies (3.47) for r not equal to 0.Question 2: Consider two types of monochromatic plane waves propagating in the x direction in a uniform medium: (a) P-wave in which ux=Asin⁡(ωt−kx), (b) S-wave with displacements in the y direction, i.e., uy=Asin⁡(ωt−kx). For each case, derive expressions for the nonzero components of the stress tensor. Refer to (2.17) to get the components of the strain tensor; then use (2.30) to obtain stress components. note: The answer should be typed in a doc file not pdf, and all the work(process) should be shown.


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