The Non-Linear Field Theories of Mechanics

The Non-Linear Field Theories of Mechanics PDF Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3540027793
Category : Mathematics
Languages : en
Pages : 636

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Book Description
Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph’s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

The Non-Linear Field Theories of Mechanics

The Non-Linear Field Theories of Mechanics PDF Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3540027793
Category : Mathematics
Languages : en
Pages : 636

Get Book Here

Book Description
Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph’s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

The Non-Linear Field Theories of Mechanics

The Non-Linear Field Theories of Mechanics PDF Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3662103885
Category : Science
Languages : en
Pages : 629

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Book Description
This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

The Non-linear Field Theories of Mechanics

The Non-linear Field Theories of Mechanics PDF Author: Clifford Truesdell
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 616

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Book Description
Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monographs genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

The Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik

The Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik PDF Author:
Publisher: Springer Science & Business Media
ISBN: 3642460151
Category : Science
Languages : en
Pages : 609

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Book Description


Fracture Mechanics Of Electromagnetic Materials: Nonlinear Field Theory And Applications

Fracture Mechanics Of Electromagnetic Materials: Nonlinear Field Theory And Applications PDF Author: Xiaohong Chen
Publisher: World Scientific
ISBN: 1908977205
Category : Technology & Engineering
Languages : en
Pages : 326

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Book Description
Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities.Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupling and dissipative effects. Mechanical, aeronautical, civil, biomedical, electrical and electronic engineers interested in application of the principles of fracture mechanics to design analysis and durability evaluation of smart structures and devices will find this book an invaluable resource./a

Solitons in Field Theory and Nonlinear Analysis

Solitons in Field Theory and Nonlinear Analysis PDF Author: Yisong Yang
Publisher: Springer Science & Business Media
ISBN: 1475765487
Category : Mathematics
Languages : en
Pages : 571

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Book Description
There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

Quantum Non-linear Sigma-Models

Quantum Non-linear Sigma-Models PDF Author: Sergei V. Ketov
Publisher: Springer Science & Business Media
ISBN: 3662041928
Category : Science
Languages : en
Pages : 429

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Book Description
This is the first comprehensive presentation of the quantum non-linear sigma-models. The original papers consider in detail geometrical properties and renormalization of a generic non-linear sigma-model, illustrated by explicit multi-loop calculations in perturbation theory.

Nonlocal Continuum Field Theories

Nonlocal Continuum Field Theories PDF Author: A. Cemal Eringen
Publisher: Springer Science & Business Media
ISBN: 0387226435
Category : Science
Languages : en
Pages : 386

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Book Description
Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.

Non-linear Field Theories of Mechanics

Non-linear Field Theories of Mechanics PDF Author: Siegfried Flügge
Publisher:
ISBN:
Category : Mechanics
Languages : en
Pages : 724

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Book Description


Geometrical and Algebraic Aspects of Nonlinear Field Theory

Geometrical and Algebraic Aspects of Nonlinear Field Theory PDF Author: S. de Filippo
Publisher: Elsevier
ISBN: 0444598715
Category : Science
Languages : en
Pages : 259

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Book Description
Experts in general relativity, particle physics and mathematical physics discuss aspects of their recent research. The main emphasis is on the geometrical and algebraic methods used in solving a wide range of problems.