非線形多孔質弾性層の振動性状に関する研究

Abstract

This paper is concerned with a dynamical theory of mixtures composed of several constituentsin relative motion to each other. Using the Lagrangean density of mixtures, the Lagrangeanformulations of the equations of motion are deduced in the reference coordinates for a mixtureof a non-linear elastic solid and a non-linear compressible fluid. The non-linear constitutiveequations for a mixture of these two continua are also deduced. The dynamical behavioures of anon-linear elastic layer and a liquid-filled non-linear porous elastic layer are examined, from whichit is found that the vertical displacement occurs not only in the case of vertical input displacementbut also for the horizontal input, and the pore pressure response in the layer is seen to be animportant phenomenon.