INTERDISCIPLINARY APPLIED MATHEMATICS

By Q. KUZIN

INTRODUCTION TO VOLUME II 1 CHARACTERIZATION OF SURFACE MORPHOLOGY I EFFECTIVE PROPERTIES OF HETEROGENEOUS MATERIALS WITH CONSTITUTIVE NONLINEARITIES 2 NONLINEAR CONDUCTIVITY AND DIELECTRIC CONSTANT: THE CONTINUUM APPROACH 3 NONLINEAR CONDUCTIVITY, DIELECTRIC CONSTANT, AND OPTICAL PROPERTIES: THE DISCRETE APPROACH 4 NONLINEAR RIGIDITY AND ELASTIC MODULI: THE CONTINUUM APPROACH II FRACTURE AND BREAKDOWN OF HETEROGENEOUS MATERIALS 5 ELECTRICAL AND DIELECTRIC BREAKDOWN: THE DISCRETE APPROACH 6 FRACTURE: BASIC CONCEPTS AND EXPERIMENTAL TECHNIQUES 7 BRITTLE FRACTURE: THE CONTINUUM APPROACH 8 BRITTLE FRACTURE: THE DISCRETE APPROACH III ATOMISTIC AND MULTISCALE MODELING OF MATERIALS 9 ATOMISTIC MODELING OF MATERIALS 10 MULTISCALE MODELING OF MATERIALS: JOINING ATOMISTIC MODELS WITH CONTINUUM MECHANICS REFERENCES