In a previous paper the authors studied transient elastic wave propagation
in woven fabric composites under impact loading. A one-dimensional analysis
was developed to predict the elastodynamic and elastostatic behavior. The
initial and boundary value problem was formulated and then solved using Lap
lace transforms. In this paper we examine the same problem using an alterna
tive approach based upon the combination of Laplace transforms and finite F
ourier transforms. Using this approach, some of the difficulties caused by
the inversion of Laplace transforms encountered in the previous work are ov
ercome. Analytical solutions to dynamic displacements and stresses, includi
ng bond shearing stresses, can be obtained for any type of impact loading.
The merits as well as the shortcomings of the alternative approach are disc
ussed. It is found that for elastodynamic problems the solution given in th
is paper are better than those reported in the previous work, since there i
s no need to perform the numerical inversion of Laplace transforms before s
uperposition of the solutions of the two component problems. On the other h
and, for elastostatic problems the solutions given in the previous work are
more concise.