This paper provides a general solution for a multiply-layered cylinder made of functionally
graded materials. The Young’s modulus is assumed to be an arbitrary function of
, and the
Poisson’s ratio takes a constant value. The first step is to study the single-layer case
(). A transfer
matrix is defined, relating the values of radial stress and displacement at the initial point
() to those at
the end point ().
The matrix is evaluated on the basis of two fundamental solutions, which are
evaluated numerically. The final solution is obtained by using many transfer
matrices for layers, continuation conditions between layers, and boundary
conditions at inner and outer boundaries. Several numerical examples are
provided.
Keywords
composites, layered structure, nonlinear behavior, transfer
matrix method, strength
