The engineering sector drives and enables the development of a country. The formation of an engineer allows a technical capacity to evaluate, plan, design, suggest and apply all possible techniques in search of the best construction of a technological equipment. Currently, the engineer must be more and more prepared to solve existing problems in various sectors of society. It is through it that societies grow in search of progress. The recognition of engineering and the training of new professionals increases every year in Brazil. In the 2000s, the University of Brasília (UnB) went through an expansion process, resulting in the implementation of the new UnB Engineering Campus in the city of Gama (UnB-Gama, FGA). Five new undergraduate courses were created: Aerospace Engineering, Automotive Engineering, Electronic Engineering, Energy Engineering and Software Engineering. The UnB Gama Campus project converges to increase the education level of the Brazilian population, especially in the five areas of engineering activity, all in line with current national public policies, aimed at expanding the population's access to quality higher education in the country. Following the high quality teaching line, the UnB-Gama campus has the Graduate Program in Integrity of Engineering Materials (PPG-Integridade). The program has the following lines of research: Dynamics and Vibrations, Fatigue, Structural Materials, Biomaterials, Structure Fluid Interaction and Numerical Simulation of the Mechanical Behavior of Materials. This book series is an initiative of PPG-Integridade -UnB, organized as a collaborative work involving researchers, engineers, scholars, from several institutions, universities, industry, recognized both nationally and internationally.Beside the high technical quality and relevance of the topics covered in the books, this series will enable an essential internationalization of the research currently developed within the University of Brasília. Several authors from different countries also contributed to these books, enabling greater interaction between national and international research groups. This internationalization raises the level of academic education for new professionals in the field of engineering, in addition to more advanced scientific research and technological development. Additionally, this book series features a strong contribution from the industrial sector. Several professionals from different companies collaborated with the writing of some chapters in the three volumes that make up this series. These initiatives are of great strategic importance, as they allow the grouping of different technical capabilities. On the part of companies in the sector, with knowledge of market demands, and on the part of universities, by adding the technical-scientific knowledge of their team of researchers to the improvement of innovative products and services. This book should be appreciated by anyone in need of knowledge of Materials Integrity. The completeness of Discrete Modeling and Inverse Methods theory c...