A book provides an an introduction to composite materials as well as detailed description of failure theories and damage modeling techniques for the failure analysis of composite laminates. More specifically, the book presents the implementation of modeling strategies for the progressive failure analysis of double-notched composite laminates. Different composite layups with carbon/epoxy and glass/epoxy materials are experimentally and numerically investigated. This book may be useful for students or engineers who are interested in learning damage analysis of composite materials.