Abstract
In this work, longitudinal wave propagation in a one-dimensional rod exhibiting non-local elasticity with a strain gradient is examined under time-harmonic conditions. In particular, fundamental solutions for a point force and for boundary conditions at one end of the rod are derived using the Laplace transform. Furthermore, the differences observed in the rod's response when compared with the standard case of linear elastic material law are pointed out and discussed. Finally, these fundamental solutions can be used within the context of a boundary element formulation for examining various boundary-value problems for unidimensional wave motions.
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