Walter Noll's leadership was central to recent progress in setting the mathematical foundations of continuum physics. In this volume his life and contributions are revisited in an extensive essay that includes a complete list of his research contributions, and the conceptual tools that he provided are put in evidence in original articles pointing to the continuing vitality of his legacy. The volume will appeal to readers with an interest in the many-faceted role that mathematics can play in the advancement of continuum theories of material behavior.
This is a reprint of the Journal of Elasticity, Volume 135, Numbers 1-2, April 2019
Foreword.- Scientic Life and Works of Walter Noll.- Rotationally
Symmetric Motions and Their Blowup for Incompressible Nonlinearly Elastic and
Viscoelastic Annuli.- Interactions in a Multi-scale Representation of Sparse
Media: From Mechanics to Thermodynamics.- Reality and Representation in
Mechanics: The Legacy of Walter Noll.- Elasticity with Hierarchical
Disarrangements: A Field Theory That Admits Slips and Separations at Multiple
Submacroscopic Levels.- Continuum Mechanics as a Computable Coarse-Grained
Picture of Molecular Dynamics.- Material Geometry.- A Causality Setting for
Elasticity Theory.- The Symmetries of Octupolar Tensors.- Explicit Relaxation
of a Two-Well Hadamard Energy.- The State of Stress and Strain Adjacent to
Notches in a New Class of Nonlinear Elastic Bodies.- A Personal Appreciation
of Walter Noll.- Macroscopic and Microscopic Behavior of Narrow Elastic
Ribbons.- On the Mechanical Modeling of Matter, Molecular and Continuum.-
Hyper-stresses in k-Jet Field Theories.- Multi-Component Multiphase Flow
Through a Poroelastic Medium.- Solvent-Vapor Induced Spherulitic Growth in
Multicomponent Elastic Films.
