The PhD program in Theoretical and Applied Mechanics deals with rigorous theoretical, numerical and experimental approaches to solve new problems of Applied Mechanics. Applied Mechanics actually combines concepts and techniques from Theoretical Mechanics and other branches of Mathematics to attack complex problems of interest for engineering, thus contributing to the growth of new theories and mathematical constructions inspired by issues arising from emerging technologies. Aim of the program is providing the student with a sound basis of mechanics and the related mathematical foundations needed to attack and solve new problems. In this framework, students are called to master and develop innovative experimental and numerical techniques instrumental to the application of original theoretical insight to emerging fields. The program is based on a first block devoted to fundamental aspects, two parallel blocks dealing with experimental and numerical methods in mechanics, respectively, and a third block dealing with specific applications. The student is asked to follow short courses and seminars while developing her/his own research program. At least once in a year she/he will present her/his research work in a public seminar. The research will focus on a specific branch of applied mechanics (solid mechanics, fluid mechanics, mechanical systems) and will be described in the final Doctoral Thesis in technical terms. The Thesis will be asked to collect original achievements in the field and will qualify the eventual Philosophy Doctor.