Thermodynamics and behavior laws

The aim is to present the theoretical tools used to identify and formulate the behavior laws of solid materials. The main classes of behavior covered are viscoelasticity, elastoplasticity and viscoplasticity. The thermodynamic approach to irreversible processes is introduced. Although the phenomenological aspects are presented, the emphasis is placed on the scaling methods used to construct macroscopic behavior laws using microscopic models. Indeed, by taking into account deformation mechanisms at meso or micro scales, internal variables can be given physical meaning.
The following points are covered:
- Phenomenological aspects - Demonstration of the various types of response (elastic, viscoelastic, plastic, viscoplastic) of materials during mechanical testing.
-Viscoelastic behavior
- Elasto-plastic and elasto-visco-plastic behavior. - Thermodynamics of continuous media: Laws of state, state variables, thermodynamic potential, normality assumption, dissipation potential, consideration of damageable behavior - Scaling and homogenization: Examples of microstructures, simplified Reuss and Voigt methods, effective modulus methods, periodic homogenization methods.