Embodiments are disclosed for characterizing and quantifying composite laminate structures. The embodiments take a composite laminate of unknown ply stack composition and sequence and determine various information about the individual plies, such as ply stack, orientation, microstructure, and type. The embodiments distinguish between weave types that exhibit similar planar stiffness behaviors, but produce different failure mechanisms. Individual ply information is then used to derive the laminate bulk properties from externally provided constitutive properties of the fiber and matrix, including extensional stiffness, bending-extension coupling stiffness, bending stiffness, and the like. The laminate bulk properties are then used to generate a probabilistic failure envelope for the composite laminate. In some embodiments, ply stack type and sequence are also determined for a curved composite laminate using the disclosed embodiments by adding a rotational stage.