The Elements of Continuum Mechanics

✍ Scribed by C. Truesdell (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1984
• Tongue: English
• Leaves: 283
• Edition: 1
• Category: Library

✦ Synopsis

The lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi­ neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.

✦ Table of Contents

Front Matter....Pages i-v
Bodies and Motions....Pages 1-16
Kinematics. Changes of Frame....Pages 17-25
Forces, Constitutive Equations, Simple Materials....Pages 26-38
Reduced Constitutive Equations. Internal Constraints....Pages 39-46
Homogeneous Motions of Simple Bodies....Pages 47-55
The Isotropy Group. Solids, Isotropic Materials, Fluids, Fluid Crystals....Pages 56-64
Motions with Constant Stretch History....Pages 65-72
The Stress System in Viscometric Flows of Incompressible Fluids....Pages 73-79
Dynamical Conditions in Viscometric Flows....Pages 80-91
Impossibility of Rectilinear Flow in Pipes....Pages 92-97
Elastic Materials....Pages 98-109
Normal Tractions in Simple Shear of Isotropic Bodies....Pages 110-116
Some Non-Homogeneous Deformations of Isotropic Incompressible Bodies....Pages 117-128
Infinitesimal Deformation....Pages 129-136
Iterative Solution of the Boundary-Value Problem of Traction....Pages 137-145
Inequalities for Isotropic Materials....Pages 146-154
A General Inequality....Pages 155-160
Wave Propagation....Pages 161-173
Infinitesimal Stability and Uniqueness....Pages 174-181
Hyperelastic Materials....Pages 182-189
Work Theorems in Hyperelasticity....Pages 190-196
Principles of Fading Memory....Pages 197-204
Positions of the Classical Theories of Continua....Pages 205-215
The Incompressible Fluid of Second Grade....Pages 216-221
Secondary Flows in Pipes....Pages 222-232
Thermodynamics of Homogeneous Process....Pages 233-241
Thermodynamics of Simple Materials....Pages 242-255
Wave Propagation in Dissipative Materials....Pages 256-264
Stability in Energy. Variational Theorems....Pages 265-272
Thermostatic Equilibrium....Pages 273-279

✦ Subjects

Continuum Mechanics and Mechanics of Materials;Elementary Particles, Quantum Field Theory;Quantum Physics;Quantum Information Technology, Spintronics