Analysis and Thermomechanics: A Collection of Papers Dedicated to W. Noll on His Sixtieth Birthday

ISBN-13: 9783540181255 / Angielski / Miękka / 1987 / 542 str.

Bernard D. Coleman; Martin Feinberg; James Serrin

Opis

This volume collects papers dedicated toWalterNoll on his sixtieth birthday, January 7, 1985. They first appeared in Volumes 86-97 (1984-1987) of the Archive for Rational Mechanics and Analysis. At the request ofthe Editors the list of authors to be invited was drawn up by B.D. Coleman, M. Feinberg, and J. Serrin. WalterNoll's influence upon research into the foundations of mechanics and thermodynamics is plain, everywhere acknowledged. Less obvious is the wide effect his writings have exerted upon those who apply mechanics to special problems, but it is witnessed by the now frequent use of terms, concepts, and styles of argument he introduced, use sometimes by young engineers who have learnt them in some recent textbook and hence take them for granted, oftenwith no idea whence they come. Examples are "objectivity," "material frame indifference," "constitutive equation," "reduced form" of the last-named, "sim plematerial," "simplesolid," "simplefluid," "isotropygroup,"andtheassociated notations and lines of reasoning."

Spis treści

On the Failure of the Maximum Principle in Coupled Thermoelasticity.- Decay Estimates for a Class of Second-Order Quasilinear Equations in Three Dimensions.- Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids.- Basic Theory of Small-Amplitude Waves in a Constrained Elastic Body.- A Corpuscular Approach to Continuum Mechanics: Basic Considerations.- Hydrodynamic Flow with Steady and Preserved Vorticity.- Some Surface Defects in Unstressed Thermoelastic Solids.- Principal Waves in Orthotropic Elastic Membranes.- Continua with Latent Microstructure.- A Skin Effect Approximation for Eddy Current Problems.- Algebraic Theories for Continuous Semilattices.- The Existence of the Flux Vector and the Divergence Theorem for General Cauchy Fluxes.- Isochoric Circulation-Preserving Motions with Stream-Lines of a Potential Motion.- On Shear Bands in Ductile Materials.- Dynamic Admissible States, Negative Absolute Temperature, and the Entropy Maximum Principle.- One-dimensional Variational Problems whose Minimizers do not Satisfy the Euler-Lagrange Equation.- On the Finite Element—Least Squares Approximation to Higher Order Elliptic Systems.- Development of Singularities in the Motion of Materials with Fading Memory.- Geometric Measure Theory and the Axioms of Continuum Thermodynamics.- Cavitation and Phase Transition of Hyperelastic Fluids.- The Main Elastic Capacities of a Spheroid.- On the Gibbsian Thermostatics of Mixtures.- Stability of Equilibrium for a Nonlinear Hyperbolic System Describing Heat Propagation by Second Sound in Solids.- Steady-State Problems of Nonlinear Electro-Magneto-Thermo-Elasticity.- Existence of Weak Solutions to Linear Indefinite Systems of Differential Equations.- Publications of Walter Noll.- Places of First Publication.