This book introduces new chapters that delve into the structure of electromagnetic and elastic fields in anisotropic media, the detailed solutions of the conductivity and elasticity problems for spherical radially transverse isotropic inclusions, the analysis of the neutral inclusion problem in static conductivity and elasticity, and the homogenization problem for polycrystalline materials. In the second edition of this book, readers will find a comprehensive update on the application of self-consistent methods in material science, reflecting the advancements in computational capabilities since its first publication. It also emphasizes the growing importance of numerical methods, which have expanded the applicability of self-consistent methods, and includes updated references to the latest research in the field since 2008.

Streamlines complex simulations with modern numerical techniques Explores the homogenization methods for conductivity and elasticity of particulate and polycrystalline materials Incorporates the latest advancements and references in material science since 2008

Inhalt

Static fields in homogeneous media with anisolated inclusion.- Homogenous elastic media with the sources of external and internal stresses.- Homogeneous media with an isolated inclusion.- Crack in a homogeneous elastic medium.