Waves occur widely in nature and have innumerable commercial uses. Waves are responsible for the sound of speech, meteors igniting the atmosphere, radio and television broadcasting, medical diagnosis using ultrasound. This book provides a thorough, modern introduction to the study of linear and nonl
Nonlinear Effects in Fluids and Solids
β Scribed by D. R. Axelrad (auth.), Michael M. Carroll, Michael A. Hayes (eds.)
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Leaves
- 371
- Series
- Mathematical Concepts and Methods in Science and Engineering 45
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, colΒ laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in continΒ uum mechanics. His outstanding pioneering theoretical and experimental reΒ Β·search in finite elasticity is a landmark. From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-reinΒ forced materials, the developments of the theory of constitutive equations, the theory of materials with memory, the theory of the fracture of elastomers, the theory of viscoelastic fluids and solids, the development of nonlinear crystal physics, the theory of small deformations superimposed on large, and the effect of large initial strain on wave propagation. It is in Rivlin's work that universal relations were first recognized. Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. AddiΒ tionally, he and his co-workers predicted the presence of secondary flows for viscoelastic fluids in straight pipes of noncircular cross section under a uniform pressure head. While some others may have displayed a cavalier lack of concern for physical reality and an intoxication with mathematical idiom, Rivlin has alΒ ways been concerned with genuine mathematical and physical content. All of his papers contain interesting and illuminating material-and may be read with profit by anyone interested in continuum mechanics.
β¦ Table of Contents
Front Matter....Pages i-xxi
On Structural Changes in Two-Phase Materials....Pages 1-11
Introduction to Nonlinear Elasticity....Pages 13-112
Propagating and Static Exponential Solutions in a Deformed Mooney - Rivlin Material....Pages 113-123
Circularly Polarized Waves of Finite Amplitude in Elastic Dielectrics....Pages 125-136
Static Theory of Point Defects in Nematic Liquid Crystals....Pages 137-148
Function Spaces and Fading Memory....Pages 149-159
On Thermomechanical Formulation of Theories of Continuous Media....Pages 161-187
Steady Flow of Slightly Viscoelastic Fluids....Pages 189-225
Some Anomalies in the Structure of Elastic-Plastic Theory at Finite Strain....Pages 227-249
Nonlinear Thermoelastic Constitutive Equations for Transversely Isotropic and Orthotropic Materials....Pages 251-269
Energy Minimization for Membranes....Pages 271-285
On Boundary Layer-Like Structures in Finite Thermoelasticity....Pages 287-295
On the Thickness Limitation for Euler Buckling....Pages 297-320
Irreducible Constitutive Expressions....Pages 321-337
Determination of the Strain Energy Density Function for Compressible Isotropic Nonlinear Elastic Solids by Torsion - Normal Force Experiments....Pages 339-353
Back Matter....Pages 355-362
β¦ Subjects
Theoretical, Mathematical and Computational Physics
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