Micro-polar theory for a periodic force on the edge of elastic honeycomb

A micro-polar theory has been used to calculate displacements and stresses generated by a fundamental boundary value problem in dynamics of elastic continua; namely, a time-harmonic line force acting at a point on the edge of a two-dimensional honeycomb half-space. An integral method is developed to solve this problem; the method combines a deformed contour of integration, similar to Cagniard-deHoop's, with the concept of Lamb's choice for cuts. The relationship between micro-inertia, excitation frequency and cell wall geometry is established; this shows that micro-inertia is more significant in honeycomb with more slender cell walls. The result also shows that the micro- and macro-rotations are almost the same at small excitation frequencies, but differ as the excitation frequency becomes larger. (C) 2001 Elsevier Science Ltd. All rights reserved.