“…From the figure and table, we found that when x is larger than a certain value such as 8.0, the corresponding function value is almost equal to 1 2 , that is to say, for a given thickness h, the vertical displacement at the upper surface of the membrane can be approximately written as are dimensionless vertical displacement at the surface of a finite-thickness membrane and semi-infinite solid, respectively. The latter part in equations (20), (21) shows the effect of membrane's thickness on the vertical displacement of the membrane. Moreover, it is easily found that the deformation is inversely proportional to Young's modulus of the membrane.…”