Waves in a semi-infinite elastic medium due to an expanding elliptic ring source on the free surface. (English) Zbl 0628.73034
An elliptic ring load emanating from the origin of co-ordinates at \(t=0\) is assumed to expand on the free-surface of an elastic hal-space. The rates of increase of the major and minor axes of the ellipse are assumed to be equal to a and b, respectively. The displacement at points on the free-surface has been derived in integral form by Cagniard-de Hoop technique. Displacement jumps across different wave fronts have also been derived.
MSC:
74J99 | Waves in solid mechanics |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
44A10 | Laplace transform |