Thermomechanics of Evolving Phase Boundaries in the Plane
by: Morton E. Gurtin
Book Description
June 24, 1993
0198536941 978-0198536949
This is one
of the few books on the subject of mathematical materials science. It discusses
the dynamics of two-phase systems within the framework of modern continuum
thermodynamics, stressing fundamentals. Two general theories are discussed: a
mechanical theory that leads to a generalization of the classical
curve-shortening equation and a theory of heat conduction that broadly
generalizes the classical Stefan theory. This original survey includes simple
solutions that demonstrate the instabilities inherent in two-phase problems.
The free-boundary problems that form the basis of the subject should be of
great interest to mathematicians and physical scientists.
Editorial Reviews
"This very good book presents a study of the dynamics of two-phase systems within the framework of modern continuum thermodynamics. . . .The book gives a detailed account of a number of important results in the field to which the author has made substantial contributions. Special problems and exercises are included. This monograph is a very useful work."--Mathematical Reviews
"Emphasizes issues that are foundational in nature." --SciTech Book News
"Can be used as a reference source..." --Applied Mechanics Review
About the Author
Morton E.
Gurtin is at Carnegie Mellon University, Pittsburgh.
Product Details
- Hardcover: 160 pages
- Publisher: Oxford University Press, USA (June 24, 1993)
- Language: English
- ISBN-10: 0198536941
- ISBN-13: 978-0198536949
- 1,98 MB , djvu
Statistical Models for the Fracture of Disordered Media
by: Hans J. Herrmann , Stephane Roux
Book Description
September 1990
044488551X 978-0444885517
Since the
beginning of the century the technological desire to master the fracture of
metals, concrete or polymers has boosted research and has left behind an
overwhelming amount of literature. In a field where it seems difficult to say
anything simple and new, the editors and authors of this book have managed to
do just that. The approach to fracture taken here was not conceived by
mechanical engineers or material scientists. It is essentially the by-product
of exciting developments that have occurred in the last ten to fifteen years
within a branch of theoretical physics, called statistical physics. Concepts
such as ``percolation'' and ``fractals'', as models for the properties of
fracture are not often considered by engineers. A particular aim of this volume
is to emphasize the fundamental role disorder plays in the breaking process.
The main scope of the volume is pedagogical and is at the same time an overview
of fracture mechanics for physicists and an introduction to new concepts of
statistical physics for mechanics and engineers.
Product Details
The Mathematical Theory of Plasticity
by: R. Hill
November 12, 1998 0198503679 978-0198503675
Written
by one of the leaders in the field and first published in 1950, this book
remains a classic treatment of the mathematical theory of plastic materials.
Editorial Reviews"The author...has done his work so well that it is difficult to see how it could be bettered. The book should rank for many years as an authoritative source for reference." --Engineering
R. Hill
is at University of Cambridge.
Product Details
Theory of Dislocationsby: John Price Hirth , Jens Lothe Book Description
May 1992 0894646176 978-0894646171
This book
is a comprehensive treatment of the fundamentals of dislocations. Sufficient
detail is provided to make the book useful as a underrate text, and extends
the treatment of specific problems to stimulate the advanced graduate
student. The book covers the elastic theory of straight and curved
dislocations, including a chapter on elastic anisotropy. Applications to the
theory of dislocation motion at low and high temperatures are presented.
Finally, groups of dislocations, grain boundaries, pileups, barriers, and
twins are considered.
Product Details
Structural Stability of Columns and Platesby: N. G. R. IyengarProduct Details
Dynamics of Thin Walled Elastic Bodiesby: J. D. Kaplunov , L. Yu Kossovitch , E. V. Nolde Book Description
October 31, 1997 0123975905 978-0123975904 1
Written
by a well-known group of researchers from Moscow, this book is a study of the
asymptotic approximations of the 3-D dynamical equations of elasticity in the
case of thin elastic shells of an arbitrary shape. Vibration of shells is a
very useful theory in space techniques, submarine detection, and other
high-tech domains. Dynamics of Thin Walled Elastic Bodies shows that
refined shell theories used in engineering practice give a distorted picture
of the high-frequency or non-stationary dynamics of shells, and offers new,
mathematically more consistent ways of describing the dynamics of shells.
Editorial ReviewsKey Features * Studies the asymptotic approximations of the 3-D dynamical equations of elasticity * Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains * Shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells * Offers new, mathematically more consistent ways of describing the dynamics of shells
"The
book is well written, with good quality figures and references at the end. It
gives good examples...so this book may be used when preparing a course in
Mathematical models in dynamics of solids. In the opinion of the reviewer,
DYNAMICS OF THIN WALLED BODIES is recommended both for individual researchers
in mechanics of thin-walled bodies and for libraries."
From the Back Cover--APPLIED MECHANICS REVIEWS, Vol.52, No.10, October 1999.
Vibration
of shells is a very useful theory in space techniques, submarine detection,
and other high-tech domains. This book is an exposition of the dynamic theory
of thin walled linear elastic bodies, treated as an asymptotic branch of 3D
elasticity, free of ad hoc assumptions.
About the AuthorThe authors' analysis shows that shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells. Their theory takes into consideration phenomena characterized by the wavelength having the order of a body's thickness and by the time scale being the time taken for elastic waves to propagate the distance equal to the body's thickness. It is evident that the classical Kirchoff-Love theory of shells, as well as its refinements, is not adequate to describe such phenomena. This is an important book for researchers in mechanics, applied mathematics and acoustics. Structural engineers and those at naval research establishments and aerospace facilities will also find this theory invaluable.
Professor
J D Kaplunov is a senior scientist at the Institute for Problems in
Mechanics, Russian Academy of Sciences. His research interests are in solid
mechanics, acoustics and asymptotic methods.
Professor L Yu Kossovich
is Dean of the Faculty of Mathematics and Mechanics and Head of the
Department of Mathematical Theory of Elasticity and Biomechanics at Saratov
State University, Russia. His research interests are in solid mechanics, wave
propagation and asymptotic methods.Dr E V Nolde is a researcher at the Institute for Problems in Mechanics, Russian Academy of Sciences. Her research interests are in shell theory, acoustics and asymptotic methods. Product Details
Mechanics in Material Space: with Applications to Defect and Fracture Mechanicsby: Reinhold Kienzler , George Herrmann Book Description
June 5, 2010
Engineering Online Library
A novel
and unified presentation of the elements of mechanics in material space or
configurational mechanics, with applications to fracture and defect
mechanics. The level is kept accessible for any engineer, scientist or
graduate possessing some knowledge of calculus and partial differential
equations, and working in the various areas where rational use of materials
is essential.
Product Details
Introduction to Continuum Mechanicsby: W Michael Lai , David Rubin , Erhard Krempl Book Description
0750685603 978-0750685603
Continuum Mechanics is a
branch of physical mechanics that describes the macroscopic mechanical
behavior of solid or fluid materials considered to be continuously
distributed. It is fundamental to the fields of civil, mechanical, chemical
and bioengineering. This time-tested text has been used for over 35 years to
introduce junior and senior-level undergraduate engineering students, as well
as graduate students, to the basic principles of continuum mechanics and
their applications to real engineering problems. The text begins with a detailed
presentation of the coordinate invariant quantity, the tensor, introduced as
a linear transformation. This is then followed by the formulation of the
kinematics of deformation, large as well as very small, the description of
stresses and the basic laws of continuum mechanics. As applications of these
laws, the behaviors of certain material idealizations (models) including the
elastic, viscous and viscoelastic materials, are presented.This new edition offers expanded coverage of the subject matter both in terms of details and contents, providing greater flexibility for either a one or two-semester course in either continuum mechanics or elasticity. Although this current edition has expanded the coverage of the subject matter, it nevertheless uses the same approach as that in the earlier editions - that one can cover advanced topics in an elementary way that go from simple to complex, using a wealth of illustrative examples and problems. It is, and will remain, one of the most accessible textbooks on this challenging engineering subject.
About the Author Professor of Mechanical Engineering and Orthopaedic Bioengineering at Columbia University, New York Product Details
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