This paper deals with the thermal mechanical response of cracked nonmetallic woven composites with temperature-dependent properties. The composite material in generalized plane strain is assumed. Finite element method is used to study the influence of crack formation, residual thermal stresses and weave curvature on the mechanical performance of G-10CR glass/epoxy laminates at low temperatures. Numerical results on the influence of the crack on the mechanical properties and the distribution of stresses at different temperatures and warp angles are obtained and presented in a graphic form.