Ebook: The Foundations of Mechanics and Thermodynamics: Selected Papers
Author: Walter Noll (auth.)
- Genre: Physics // Mechanics
- Tags: Physics general
- Year: 1974
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
Content:
Front Matter....Pages I-X
A Mathematical Theory of the Mechanical Behavior of Continuous Media....Pages 1-30
The Foundations of Classical Mechanics in the Light of Recent Advances in Continuum Mechanics....Pages 31-47
On Certain Steady Flows of General Fluids....Pages 49-63
On the Thermostatics of Continuous Media....Pages 65-96
An Approximation Theorem for Functionals, with Applications in Continuum Mechanics....Pages 97-112
Foundations of Linear Viscoelasticity....Pages 113-123
Motions with Constant Stretch History....Pages 125-133
La M?canique Classique, Bas?e sur un Axiome d’Objectivit?....Pages 135-144
The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity....Pages 145-156
Material Symmetry and Thermostatic Inequalities in Finite Elastic Deformations....Pages 157-181
Euclidean Geometry and Minkowskian Chronometry....Pages 183-198
Proof of the Maximality of the Orthogonal Group in the Unimodular Group....Pages 199-202
Space-Time Structures in Classical Mechanics....Pages 203-210
Materially Uniform Simple Bodies with Inhomogeneities....Pages 211-242
A New Mathematical Theory of Simple Materials....Pages 243-292
Lectures on the Foundations of Continuum Mechanics and Thermodynamics....Pages 293-324
Back Matter....Pages 325-325
Content:
Front Matter....Pages I-X
A Mathematical Theory of the Mechanical Behavior of Continuous Media....Pages 1-30
The Foundations of Classical Mechanics in the Light of Recent Advances in Continuum Mechanics....Pages 31-47
On Certain Steady Flows of General Fluids....Pages 49-63
On the Thermostatics of Continuous Media....Pages 65-96
An Approximation Theorem for Functionals, with Applications in Continuum Mechanics....Pages 97-112
Foundations of Linear Viscoelasticity....Pages 113-123
Motions with Constant Stretch History....Pages 125-133
La M?canique Classique, Bas?e sur un Axiome d’Objectivit?....Pages 135-144
The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity....Pages 145-156
Material Symmetry and Thermostatic Inequalities in Finite Elastic Deformations....Pages 157-181
Euclidean Geometry and Minkowskian Chronometry....Pages 183-198
Proof of the Maximality of the Orthogonal Group in the Unimodular Group....Pages 199-202
Space-Time Structures in Classical Mechanics....Pages 203-210
Materially Uniform Simple Bodies with Inhomogeneities....Pages 211-242
A New Mathematical Theory of Simple Materials....Pages 243-292
Lectures on the Foundations of Continuum Mechanics and Thermodynamics....Pages 293-324
Back Matter....Pages 325-325
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