Abstract
Abstract : Finite element (FE) and finite difference (FD) spatial differencing schemes for linearly elastic materials are compared on a common basis. Conditions are established under which the two methods are identical. Features commonly associated with FD methods are combined with a FE spatial treatment to obtain an explicit time stepping algorithm suitable for processing 3-D linearly elastic wave calculations on the ILLIAC IV system. Test calculations are presented to compare FE and FD codes at S3. Comparisons are made for two problems: A spherically symmetric explosion with an exponentially decaying step pressure and Lamb's problem - an impulse loading applied to the free surface of a homogeneous half space. Test calculations are presented for exploring certain features of the 3-D time stepping algorithm.
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