Composite materials are combinations of two or more materials giving a third material with highly desirable properties. A composite material cylindrical shell is one of the components used in weight sensitive areas as composite materials are nowadays commonly used in the aviation industry and marine applications. In many practical applications, using composites is more efficient. For example, in highly competitive airline markets, one is continuously looking for ways to lower overall mass of the aircraft without decreasing the stiffness and strength of its components like cylindrical shells or pressure vessels. This is possible by replacing conventional metal alloys with composite materials. However, surface irregularities and micro cracks can be imparted to such materials for various reasons and it is very important to analyze these materials carefully to hinder the damage that could result as a result of failure.