Positive Operators (Hardcover)

The Order Structure of Positive Operators.- Components, Homomorphisms, and Orthomorphisms.- Topological Considerations.- Banach Lattices.- Compactness Properties of Positive Operators.- Micromechanics and multiscale mechanics of carbon nanotubes-reinforced composites.- Multi-scale analytical methods for complex flows in process engineering: Retrospect and prospect.- Multiscaling effects in low alloy TRIP steels.- Ductile Cr-Alloys with solute and precipitate softening.- A multi-scale approach to crack growth.- Continuum-based and cluster models for nanomaterials.- Segmented multiscale approach by microscoping and telescoping in material science.- Mode I segmented crack model: Macro/symmetry, micro/ anti-symmetry and dislocation/skew-symmetry.- Tensegrity architecture and the mammalian cell cytoskeleton.- Mode II segmented crack model: Macro/skew-symmetry micro/anti-symmetry and dislocation/skew-symmetry.- Microstructure and microhardness in surface-nanocrystalline Al-alloy material.- Grain boundary effects on fatigue damage and material properties: Macro- and micro-considerations.- Coupling and communicating between atomistic and continuum simulation methodologies.