VARIATIONAL PRINCIPLE FOR WAVE ANALYSIS OF SATURATED MICRO-POLAR SOIL

Functional representations corresponding to the variational principle for the elastic pragmatic wave equations of saturated porous micro-polar medium and their discretized equations obtained by the finite element method are presented here. Firstly, the dynamic consolidation equations of saturated micro-polar soil given by u-U format and the relevant boundary conditions are transformed by Laplace transformation, so the non-homogeneous boundary problems in mechanics are engendered. Next, the function which satisfy the wave equations and boundary conditions after variation are composed through mathematic theory. In the end, the interpolation forms of the finite element method are inserted into the functional representations and the discretized equations of an element are obtained. It is significant for the numerical analysis on dynamic consolidation problems of saturated porous micro-polar medium.