Nonlinear effects in fluids and solids Download PDF EPUB FB2
Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi 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 : Springer US.
Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi 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.
In addition to timely papers on finite elasticity and viscoelastic fluids, this important work includes a comprehensive bibliography of Rivlin's publications. Nonlinear Effects in Fluids and Solids is an essential reference for those conducting research in continuum mechanics.
Get this from a library. Nonlinear Effects in Fluids and Solids. [Michael M Carroll; Michael A Hayes] -- This volume honors the accomplishments of Ronald S. Rivlin, whose pioneering theoretical and experimental research in finite elasticity is a landmark.
Contributions to this important reference. This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields.
These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. Title: Nonlinear Effects in Fluids and Solids. Edited by M. Carroll & M. Hayes. Plenum Press, pp. ISBN $ Publication.
Description. This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions.
These courses are up to date and are aimed at a wide audience, Book Edition: 1. Nonlinear Effects in Fluids and Solids Edited by Michael M. Carroll Rice University Houston, Texas and Theorem Concerning the Flow of Slightly Viscoelastic Fluids 3.
Some General Remarks on Flows with Axial Symmetry Compressible Isotropic Nonlinear Elastic Solids by Torsion-Normal Force Experiments A. Wineman and G. Reported articles in this special issue cover solids thermal stability, reactive fluid flow, nanofluids dynamics, magnetohydrodynamics, Newtonian and non-Newtonian fluid flow, natural convection, forced convection, mixed convection, porous media flow and thermal radiation absorption effects.
The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects.
Nonlinear Effects in Operator Formalism for Quantum Fields (N J Papastamatiou & H Umezawa) Exact Analytic Solutions for Partially Integrable Nonlinear Physical Systems (P Winternitz) and other papers; Readership: Theoretical physicists, solid state physicists, plasma physicists and applied mathematicians.
The nonlinear effects governed by the third-order susceptibility χ (3) are elastic in the sense that no energy is exchanged between the electromagnetic field and the dielectric medium.
A second class of nonlinear effects results from stimulated inelastic scattering in which the optical field transfers part of its energy to the nonlinear medium. Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics.
The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques;Book Edition: 1. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models for a variety of gases, liquids, and solids.
In: Carroll M.M., Hayes M.A. (eds) Nonlinear Effects in Fluids and Solids. Mathematical Concepts and Methods in Science and Engineering, vol Springer, Boston, MACited by: 6.
Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models for a variety of gases, liquids, and solids.
Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics/5(4). PDF | On Apr 1,Zolochevsky A.A. and others published Nonlinear Solid Mechanics | Find, read and cite all the research you need on ResearchGate.
Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems. The purpose of this Letter to the Editor is to demonstrate the effects of the nonlinear parameter of fluid-solid coupling on the acoustic field in porous media.
The nonlinear acoustic field excited by a one-dimensional finite-amplitude shear wave propagating in the. This book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method.
Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give Cited by: Nonlinear Viscoelastic Solids--A Review There is a discussion of the deviation from linear behavior as nonlinear effects become important.
of g is associated with the ratio of viscous Author: Alan Wineman. The book provides the reader with the knowledge, tools, and methods to understand the phenomenon of hysteresis in porous materials. As many challenges have been met only recently, the book summarizes the research results usually found only scattered in the literature, connecting knowledge from traditionally separated research fields to provide a better understanding of the physical phenomena.
His current research activities involve nonlinear propagation effects in high-bit-rate optical communication systems and in all-optical information processing devices. He is the author and co-author of over refereed papers and conference presentations, the Deputy Editor of Elsevier's Optical Fiber Technology, and is a member of the Optical.
Nonlinear Acoustics: Theory and Applications is an introductory text on the theory and applications of nonlinear acoustics. This book develops the theory on nonlinear acoustics from physical principles. The first half of the book develops the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework of nonlinear acoustics.3/5(1).
In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques.
instabilities in fluid dynamics and solid mechanics, which are inherently nonlinear phenomena. • Manchester Centre for Nonlinear Dynamics: multi-pronged approach of quantitative experiments and mathematical analysis/numerical simulations.
• Concepts of nonlinear dynamics fundamental to understanding complex Size: 3MB. Positive non-linear effect, (+)-NLE. A positive non-linear effect, (+)-NLE, is present in an asymmetric reaction which demonstrates a higher product ee (ee product) than predicted by an ideal linear situation (Figure 1).
It is often referred to as asymmetric amplification, a term coined by Oguni and co-workers. An example of a positive non-linear effect is observed in the case of Sharpless.
Nonlinear time-series analysis of thermoacoustic oscillations in a solid rocket motor Experimental Thermal and Fluid Science, Vol. 98 Viscous Mean Flow Approximations for Porous Tubes with Radially Regressing WallsCited by: ON FINITE ELEMENT METHODS FOR NONLINEAR DYNAMIC RESPONSE Klaus-Jürgen Bathe Massachusetts Institute of Technology Cambridge, MAU.S.A.
ABSTRACT In this paper we briefly focus on the nonlinear analysis of solids and structures when these undergo large deformations, possibly over long time durations, and perhaps subjected to fluid-File Size: KB. Typical examples would be the response of structures to blast, vehicle crashworthiness studies, fluid-structure interaction problems, penetration and perforation of solids and structures, explosive welding, forming, compaction, shock consolidation and synthesis and, at 5/5(2).
Lecture 10 Nonlinear Finite Element Analysis of Solids & Structures /, Fall ‘ V. Contact: Change in boundary conditions. These are diﬃcult to solve. The boundary conditions change when P is large to make the element take contact with the spring.
The cases II to V may contain nonlinearities (a system could haveFile Size: KB.2 High-intensity ultrasonic waves in fluids nonlinear propagation and effects O.A. Sapozhnikov1,2 1 Moscow State University, Moscow, Russia2 University of Washington, Seattle, WA, USA Abstract The - Selection from Power Ultrasonics [Book].From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-rein 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 .