Microcontinuum Theories

Microcontinuum Theories covers the theory and application of micropolar non-classical continuum mechanics (NCCM), in which microconstituents are non-deformable but capable of rotation.

Microcontinuum Theories presents a comprehensive treatment of this field for materials whose deformation physics cannot be adequately described by classical continuum mechanics. It addresses materials containing microconstituents, such as primitive lattice structures, liquid crystals with bar or plate elements, blood flow, chopped-fiber composites, slurry flow, and various synthesized materials, where the kinematics of microconstituents significantly influences bulk deformation behavior. The text provides rigorous development of both linear and nonlinear formulations of micropolar, microdilation, and micromorphic theories, offering the sophisticated mathematical frameworks necessary to model these complex material systems. It systematically builds the theoretical foundations required to analyze continuous matter where classical continuum mechanics proves inadequate in describing deformation physics. Designed as a graduate-level textbook for a one-semester course, the book serves both as a pedagogical resource for students and as an authoritative reference for physicists and engineers specializing in continuum theories and applied mechanics.