Continuum Models of Discrete Systems

A.J.M. Spencer, Department of Theoretical Mechanics, University of Nottingham.

• Preface; Elastic behaviour of textured aggregates of cubic crystals; Simulation of crystal defects by finite element techniques; Continuum description of mechanical behaviour for materials with heterogeneous oriented structure; On the patterning of microstructures and deformation; Fractals; The balance equations of continuum mechanics from a corpuscular viewpoint; Existence of non-negative entropy production; On the continuum mechanics of crystal slip; Coexistent austenitic and martensitic phases in elastic crystals; The stability of plastic flow in crystals; Crystals as ordered media; Some problems associated with some current non-local theories of elasticity; Asymmetric swirling flows and related problems in non-linear elasticity; A virial stochastic solution for a random suspension of spheres; Hydrostatics of rigid magnetic suspensions; The maximum entropy principle and the moment truncation procedure; Solitons in microstructured elastic media: Physical and mechanical aspects; A continuum model for polyelectrolytes in solution; Nonlinear diffusion and Schrodinger equation; Jump conditions in magnetodiffusion in solids; Latent microstructure; Graph-theoretical approach to the mechanics of granular materials; T matrices for elastodynamic scattering by circular discs; Incompatibility tensors and compatibility equations in orthogonal curvilinear coordinates; Environmentally induced damage in composites; Possibilities and limits of Nayfeh’s equations for heat conduction in laminated composites; Bounds for the effective properties of a nonlinear lossy composite; Dual estimates of overall instantaneous properties of elastic-plastic composites; Random structure analysis and modelling by mathematical morphology; Direct continuum model of a solid (Abstract); A gauge fields approach to classical and continuum mechanics (Abstract); Streaming motions in a bed of vibrationally-fluidized dry granular material (Abstract); List of participants.