The 2-dimensional problem of acoustic wave scattering from a system of mult
ilayered spherical anti cylindrical shells is formulated using the global m
atrix method. This formulation is applicable to any system with an arbitrar
y number and order of fluid and solid layers. As fur the analytical express
ions for the pressures, stresses, and displacements in the layers, some non
dimensional functions are defined with a consideration of the dimensions of
the physical quantities. It will be seen that all of the possible boundary
matrixes can then be easily expressed with the boundary values of the nond
imensional Functions. the explicit expressions for the global matrix elemen
ts are attached in appendices for some examples of single layered and doubl
e-layered shell systems.