Some basic solutions for wave propagation in a rod exhibiting non-local elasticity

In this work, longitudinal wave propagation in a one-dimensional rod exhibi ting cion-local elasticity with a strain gradient is examined under time-ha rmonic conditions. In particular, fundamental solutions for a point force a nd for boundary conditions at one end of the rod are derived using the Lapl ace transform. Furthermore, the differences observed in the rod's response when compared with the standard case of linear elastic material law are poi nted out and discussed. Finally, these fundamental solutions can be used wi thin the context of a boundary element formulation for examining various bo undary-value problems for unidimensional wave motions. (C) 2000 Elsevier Sc ience Ltd. All rights reserved.