Thermal stress and deformation of a cross-ply laminated rectangular plate due to partial heating

A theoretical treatment is presented for thermal stress and thermal bending in a multilayered anisotropic laminated plate due to partially distributed heat input in a transient state. The analytical model used is a cross-ply laminate; the introduction of the methods of finite cosine transform and Laplace transform for the temperature field yields the 3D temperature solution. Illustrative numerical calculations are conducted for a five-layered cross-ply laminate; the numerical results obtained are examined in detail.