The Breadth and Depth of Continuum Mechanics: A Collection of Papers Dedicated to J.L. Ericksen on His Sixtieth Birthday

ISBN-13: 9783540162193 / Angielski / Miękka / 1986 / 778 str.

Constantine M. Dafermos; Daniel D. Joseph; Frank M. Leslie

Opis

This volume collects papers dedicated to Jerry Ericksen on his sixtieth birthday, December 20, 1984. They first appeared in Volumes 82-90 (1983-1985) of the Archive for Rational Mechanics and Analysis. At the request of the Editors the list of authors to be invited was drawn up by C. M. Dafermos, D. D. Joseph, and F. M. Leslie. The breadth and depth of the works here reprinted reflect the corresponding qualities in Jerry Ericksen's research, teaching, scholarship, and inspiration. His interests and expertness center upon the mechanics of materials and extend to everything that may contribute to it: pure analysis, algebra, geometry, through all aspects of theoretical mechanics to fundamental experiment, all of these illumi nated by an intimate and deep familiarity with the sources, even very old ones. He is independent of school and contemptuous of party spirit; his generosity in giving away his ideas is renowned, but not everyone is capable of accepting what is offered. His writings are totally free of broad claims and attributions beyond his own study. Some are decisive, some are prophetic, and all are forthright. His work has served as a beacon of insight and simple honesty in an age of ever more trivial and corrupt science. The authors of the memoirs in this volume are his students, colleagues, admirers, and (above all) his friends."

Spis treści

On Circulation-Preserving Complex-Lamellar Motions with Steady Streamlines.- Implicit Similarities and Inverse Isovector Methods.- Necking and Drawing in Polymeric Fibers Under Tension.- Finite Amplitude Oscillations of a Simple Rubber Support System.- Extended Thermodynamics of Classical and Degenerate Ideal Gases.- The Viscosity-Capillarity Criterion for Shocks and Phase Transitions.- Two-phase Deformations of Elastic Solids.- Helical Shear of an Elastic, Circular Tube with a Non-Convex Stored Energy.- Continuum Plasticity at Finite Strain for Stress Paths of Arbitrary Composition and Direction.- Large Lateral Buckling of Nonlinearly Elastic Beams.- Inhomogeneous Plane Waves.- Equilibrium of Tchebychev Nets.- Spatial Variational Principles in Continuum Mechanics.- The Motion of a Detaching Elastic Body.- On Saint-Venant Torsion and the Plane Problem of Elastostatics for Multiply Connected Domains.- On the Response and Symmetry of Elastic and Hyperelastic Membrane Points.- Stress-Free Joints and Poly crystals.- A Direct Theory of Viscous Fluid Flow in Channels.- Systematic Linearization for Stability of Shear Flows of Viscoelastic Fluids.- On the Rotated Stress Tensor and the Material Version of the Doyle- Ericksen Formula.- Quasiconvexity and Uniqueness of Equilibrium Solutions in Nonlinear Elasticity.- Quasiconvexity at the Boundary, Positivity of the Second Variation and Elastic Stability.- A Class of Hypo-Elastic Non-Elastic Materials and their Thermodynamics.- Swirling Flow between Rotating Plates.- One-Dimensional Pulse Propagation in Deformable Dielectrics with Internal State Variables.- On the Foundations of Landau’s Theory of Superfluid Helium.- A Thermomechanical Theory for a Porous Anisotropic Elastic Solid with Inclusions.- Static Shear Layers in Nematic Liquid Crystals.- Energy Methods for Quasilinear Hyperbolic Initial-Boundary Value Problems. Applications to Elastodynamics.- On the Structure of Wave Fronts in Nonlinear Dissipative Media.- Grad’s 13-Moment System for a Dense Gas of Inelastic Spheres.- On the Kinematics of Mechanical Twinning in Crystals.- On the Thermomechanics of Interstitial Working.- On Possible Symmetries of Shells.- Remarks on a Question of Ericksen concerning Elastostatic Fields of Saint- Venant Type.- Published Works of J. L. Ericksen.- Places of First Publication.