Advanced math physics question
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.
SAMPLE ASSIGNMENT
