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Author: Miroslav Silhavy Publisher: Springer Science & Business Media ISBN: 3662033895 Category : Science Languages : en Pages : 511
Book Description
From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
Author: Miroslav Silhavy Publisher: Springer Science & Business Media ISBN: 3662033895 Category : Science Languages : en Pages : 511
Book Description
From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
Author: W. Noll Publisher: Springer Science & Business Media ISBN: 3642658172 Category : Science Languages : en Pages : 330
Book Description
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
Author: Morton E. Gurtin Publisher: Cambridge University Press ISBN: 1139482157 Category : Science Languages : en Pages : 721
Book Description
The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.
Author: S.K. Godunov Publisher: Springer Science & Business Media ISBN: 1475751176 Category : Computers Languages : en Pages : 263
Book Description
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.
Author: Ellad B. Tadmor Publisher: Cambridge University Press ISBN: 1107008263 Category : Science Languages : en Pages : 373
Book Description
Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Author: Joanne L. Wegner Publisher: Cambridge University Press ISBN: 1139478389 Category : Science Languages : en Pages : 279
Book Description
This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.
Author: L. I. Sedov Publisher: World Scientific Publishing Company Incorporated ISBN: 9789971507282 Category : Science Languages : en Pages : 1368
Book Description
This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.
Author: Géry de Saxcé Publisher: John Wiley & Sons ISBN: 1848216424 Category : Mathematics Languages : en Pages : 446
Book Description
This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities — mass, energy, force, moment, stresses, linear and angular momentum — in a single tensor. Starting with the basic subjects, and continuing through to the most advanced topics, the authors' presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics − torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.
Author: Miroslav Silhavy
Author: Miroslav Silhavy
Author: W. Noll
Author: Lawrence E. Malvern
Author: Morton E. Gurtin
Author: S.K. Godunov
Author: Ellad B. Tadmor
Author: Joanne L. Wegner
Author: L. I. Sedov
Author: Géry de Saxcé
Author: Jean Lemaitre