By Antonio Becchi,Massimo Corradi,Federico Foce,Orietta Pedemonte
By Yuriy I. Dimitrienko
The concentration of the publication is a brand new method of the formula of the constitutive equations for elastic and inelastic continua less than huge deformation. This new technique is predicated on utilizing full of life and quasi-energetic of rigidity and deformation tensors. This process results in a unified therapy of huge, anisotropic elastic, viscoelastic, and plastic deformations.
The writer analyses classical difficulties, together with a few related to nonlinear wave propagation, utilizing varied versions for continua less than huge deformation, and exhibits how diversified types result in varied effects. The research is observed by means of experimental info and certain numerical effects for rubber, the floor, alloys, and so on.
The e-book might be a useful textual content for graduate scholars and researchers in good mechanics, mechanical engineering, utilized arithmetic, physics and crystallography, as additionally for scientists constructing complicated materials.
By Gérard A. Maugin
Conceived as a chain of kind of independent essays, the current ebook seriously exposes the preliminary advancements of continuum thermo-mechanics in a publish Newtonian interval extending from the inventive works of the Bernoullis to the 1st global warfare, i.e., approximately in the course of first the “Age of cause” and subsequent the “Birth of the fashionable world”. The emphasis is rightly put on the unique contributions from the “Continental” scientists (the Bernoulli kin, Euler, d’Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in festival with their British friends (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the most breakthroughs in addition to the secondary ones. It highlights the function of scientists who left crucial prints during this background of clinical rules. The publication exhibits how the bold advancements that blossomed within the 20th century (and perused in a prior booklet of the writer within the related Springer sequence: “Continuum Mechanics during the 20th Century”, Springer 2013) stumbled on wealthy compost within the optimistic foundational achievements of the eighteenth and 19th centuries. The pre-WWI scenario is easily summarized through an intensive research of treatises (Appell, Hellinger) released at the moment. English translations through the writer of most important texts in French or German are given to the good thing about the readers.
By Vladimir N. Pokrovskii
The monograph can be utilized as a textbook for graduate scholars with a few heritage in physics and arithmetic. it can supply fabric for a one- or two-semester graduate- point path in polymer dynamics. The monograph offers subject matters in a self-contained manner that makes it a appropriate reference ebook for pro researchers within the fields of rheology, polymer technological know-how, polymer engineering, and fabric science.
By Günther Holzmann,Heinz Meyer,Georg Schumpich,Conrad Eller,Hans-Joachim Dreyer
In der aktuellen 10. Auflage wurde ein Abschnitt zu den Schwingungen kontinuierlicher Systeme ergänzt und ein Großteil der Bilder durch Computergrafiken ersetzt. Typografische Hervorhebungen erleichtern das Auffinden und Lesen. Die Nummerierung der Gleichungen, Tabellen und Bilder wurde an die übrigen Bände angepasst.
By Yvon Mori
The function of this ebook is to explain the problems with regards to the surroundings of mechanical vibrations within the fabric existence profile. specifically, via their simulation trying out laboratory, via a greater figuring out of the actual phenomenon, ability to enforce to simulate, measurements and interpretations linked effects. it's aimed toward improvement of technical experts, caliber and prone basically to these checking out laboratories, in addition to to all those who find themselves confronted with provide connection with the environmental try calls and especially right here, vibration checks. moreover it may additionally curiosity scholars of engineering faculties within the components of competence in their destiny professions laid low with vibration.
We therefore outline the phenomenon of vibrations from the viewpoint of environmental expert via a few uncomplicated thoughts necessary to understand how to interpret the normative records released so far and practice a few easy calculations of predictive habit of the studied material.
By André M. Sonnet,Epifanio G. Virga
This is a booklet at the dissipative dynamics of ordered fluids,
with a selected specialise in liquid crystals. It covers a complete
range of other theories, ordinarily inquisitive about nematic liquid
crystals in either their chiral and nonchiral versions. The authors
begin via giving a close account of the molecular origins of
orientational order in fluids. They then pass directly to improve a basic
framework during which continuum theories for ordered fluids might be phrased.
Within this unified environment, they hide either well-established classical theories and new ones with points that aren't but thoroughly settled. The ebook treats quite a lot of hydrodynamic theories for liquid crystals, from the unique Nineteen Sixties works by means of Ericksen and Leslie to new, fast-developing principles of liquid crystal technology. the ultimate bankruptcy is dedicated to nematoacoustics and its functions. previous experiments at the propagation of ultrasound waves in nematic liquid crystals are interpreted and defined
in the sunshine of a brand new concept built in the basic theoretical infrastructure proposed within the physique of the ebook.
This publication is meant either for graduate scholars
scholars in arithmetic, physics, and engineering of complicated
materials. It provides an outstanding framework for liquid crystal
hydrodynamics and exhibits the unifying recommendations on the foundation of the
classical theories. It illustrates how those techniques is also
applied to a large choice of contemporary subject matters.
Andre M. Sonnet is within the division of arithmetic and information at the collage of Strathclyde, Glasgow (Scotland) and Epifanio G.
Virga is within the division of arithmetic on the college of Pavia (Italy). they've got a protracted heritage of operating jointly in liquid crystal technological know-how and feature contributed, particularly, to the theories of
defects and biaxial nematics.
By Robert O. Crummey
By Elena Tobisch
The booklet info the various novel equipment built within the previous few years for learning quite a few elements of nonlinear wave structures. The introductory bankruptcy presents a common assessment, thematically linking the gadgets defined within the e-book.
Two chapters are dedicated to wave platforms owning resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3).
In the subsequent chapters modulation instability within the KdV-type of equations is studied utilizing rigorous mathematical equipment (Chapter four) and its attainable connection to freak waves is investigated (Chapter 5).
The publication is going directly to exhibit how the alternative of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework permits us to realize a deeper perception into the homes of a particular wave system.
The ultimate bankruptcy discusses difficulties encountered whilst trying to make sure the theoretical predictions utilizing numerical or laboratory experiments.
All the chapters are illustrated via plentiful optimistic examples demonstrating the applicability of those novel tools and methods to a large classification of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima, KdV-type, Klein-Gordon, NLS-type, Serre, Shamel , Whitham and Zakharov.
This makes the booklet attention-grabbing for execs within the fields of nonlinear physics, utilized arithmetic and fluid mechanics in addition to scholars who're learning those topics. The booklet is additionally used as a foundation for a one-semester lecture direction in utilized arithmetic or mathematical physics.
By Gennadi Sardanashvily