Analytical- and computational stress analysis of fiber/matrix composite models

For a 3D fiber/matrix composite cylinder of finite length and diameter, which is considered to be subjected to a stationary and homogeneous change of temperature with respect to the stress free state, a detailed stress analysis is given. Firstly this is based on analytical solutions for the corresponding 2D-cases of plane elasticity (plane stress, plane strain and generalized plane strain), which are given here in following GALERKIN's displacement functions approach. Secondly by the same approach an analytical solution of first order is presented for the 3D-problem. Major stress analysis results of this solution agree well with findings of a detailed finite element stress analysis of this complexe 3D-problem of thermoelasticity, which gives further understanding of where and how fracture and failure of thermally stressed composites may occure.