Non-linear Mechanics of Materials

In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design and life assessment methods necessarily involve non-linear solutions for inelastic responses, in plasticity or viscoplasticity, as well as damage and fracture analyses.

The dissemination of knowledge can be improved by software developments, data base completion and generalization, but also by information and training. With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure computations.

There currently exists a significant gap between materials models used by engineers and the ones available in research laboratories. Knowledge transfer must be facilitated by software development and databases, but also by information and teaching. From that perspective, Nonlinear Mechanics of Materials offers an update of the knowledge necessary to understand and use the most recent models of materials behavior and damage in structures.

After presenting numerical tools, and classical plasticity and viscoplasticity, this work provides a description of damage mechanics, heterogeneous materials mechanics, finite strain, nonlinear structural analysis and strain localization phenomena, by seeking equilibrium between a theoretical approach and real materials models.