The continuum mechanics of solids aims to model the movements, deformations and internal efforts of a material system considered as continuous on a macroscopic scale. It provides for solids essential information on the kinematics and resistance of structures. Most hardware systems are designed to operate in a domain where deformations are not irreversible and remain proportional to the efforts applied. The framework of linear elasticity is therefore of importance particular for the design of systems and structures. The dynamic aspects reveal particular phenomena (vibrations, resonances, instabilities) that it is essential to control to ensure the resistance and the life of the structures, but also to minimize the associated discomforts: Resistance of civil engineering structures to earthquakes, comfort and safety in transport, reduction of acoustic emissions and vibration pollution, etc. Calculation techniques (Finite element methods) now make it possible to integrate, into the design process, predictive simulations of the behavior of structures. The digital model thus becomes a central element allowing to control the manufacturing, to simulate the assembly and the behavior of the system in its environment mechanical.
Mathematics: linear algebra, multidimensional analysis: derivation and integration, PDE concepts Physics: the laws of mechanics