Material Inhomogeneities and their Evolution A Geometric Approach /

• Main Authors: Epstein, Marcelo (Author), Elżanowski, Marek (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Interaction Mechanics, Mathematics,
• Subjects: Engineering.; Applied mathematics.; Engineering mathematics.; Mechanics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.

Inhomogeneity theory is of importance for the description of a variety of material phenomena, including continuous distributions of dislocations, fracture mechanics, plasticity, biological remodelling and growth and, more generally, all processes that entail changes in the material body driven by fo...

Table of Contents:

• Inhomogeneity in Continuum Mechanics
• An overview of inhomogeneity theory
• Uniformity of second-grade materials
• Uniformity of Cosserat media
• Functionally graded bodies
• Material Evolution
• On energy, Cauchy stress and Eshelby stress
• An overview of the theory of material evolution
• Second-grade evolution
• Mathematical Foundations
• Basic geometric concepts
• Theory of connections
• Bundles of linear frames
• Connections of higher order.