Last edited by Gardazshura

Tuesday, August 11, 2020 | History

5 edition of **Tensors in mechanics and elasticity.** found in the catalog.

Tensors in mechanics and elasticity.

LГ©on Brillouin

- 215 Want to read
- 21 Currently reading

Published
**1964**
by Academic Press in New York
.

Written in English

- Calculus of tensors.,
- Quantum theory.,
- Elasticity.

**Edition Notes**

Bibliography: p. xviii.

Statement | Translated from the French by Robert O. Brennan. |

Series | Engineering physics; an international series of monographs,, v. 2, Engineering physics ;, v. 2. |

Classifications | |
---|---|

LC Classifications | QA433 .B713 1964 |

The Physical Object | |

Pagination | xviii, 478 p. |

Number of Pages | 478 |

ID Numbers | |

Open Library | OL5884689M |

LC Control Number | 63016718 |

Mechanics of solids - Mechanics of solids - Finite deformation and strain tensors: In the theory of finite deformations, extension and rotations of line elements are unrestricted as to size. For an infinitesimal fibre that deforms from an initial point given by the vector dX to the vector dx in the time t, the deformation gradient is defined by Fij = ∂xi(X, t)/∂Xj; the 3 × 3 matrix [F. The book is divided into three major sections. The first section presents a review of mathematical notation and continuum mechanics, covering vectors and tensors, kinematics, stress, basic equations of continuum mechanics, and linear elasticity.

Ivan Stephan Sokolnikoff (, Chernigov Province, Russian Empire – 16 April , Santa Monica) was a Russian-American applied mathematician, who specialized in elasticity theory and wrote several mathematical textbooks for engineers and physicists. the place where most texts on tensor analysis begin. A basic knowledge of vectors, matrices, and physics is assumed. A semi-intuitive approach to those notions underlying tensor analysis is given via scalars, vectors, dyads, triads, and similar higher-order vector products. The reader must be prepared to do some mathematics and to think.

Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. Click to read more about Tensors in mechanics and elasticity by Léon Brillouin. LibraryThing is a cataloging and social networking site for bookloversAuthor: Léon Brillouin.

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This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications.

It shows how this material is applied in mechanics, covering the foundations of the linear theories of elasticity and elastic shells.

Tensors in Mechanics and Elasticity. Translated from the French By Robert O. Brennan. (Engineering Physics: An International Series of Monographs, Vol.

2) Hardcover – January 1, Author: Leon Brillouin. An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio An illustration of a " floppy disk. Tensors in mechanics and elasticity by Brillouin, Léon, Publication date Topics Calculus of tensors, Elasticity, Quantum theory Publisher New York Pages: Additional Physical Format: Online version: Brillouin, Léon, Tensors in mechanics and elasticity.

New York, Academic Press, (OCoLC) Stresses, Singularities, and a Complementary Energy Principle for Large Strain Elasticity Appl. Mech. Rev (May, ) Size-Dependent Eshelby’s Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface EnergiesCited by: This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity.

The material is self-contained and should provide readers sufficient working knowledge in both areas. In recent times the theory of tensors has attracted the attention of the mechanics people.

Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized.

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid 5/5(1).

vii J.K. Knowles, Linear Vector Spaces and Cartesian Tensors, Oxford University Press, New York, Volume II: Continuum Mechanics P. Chadwick, Continuum Mechanics. Buy Tensors in Mechanics and Elasticity.- on FREE SHIPPING on qualified orders Tensors in Mechanics and Elasticity Leon Brillouin, Robert O.

Brennan: : Books. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept.

Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis.

Tensors have their applications to Riemannian Geometry, Mechanics, Elasticity, Theory of Relativity, Electromagnetic Theory and many other disciplines of Science and Engineering. This book has been presented in such a clear and easy way that the students will have no difficulty in understanding it.

Tensors in Mechanics and Elasticity By Prof. Leon Brillouin. Translated from the French by Robert O. Brennan, S.J. (Engineering Physics: an International Series of Monographs, Vol. 2.) Pp. xviii. Buy Tensors in mechanics and elasticity by León. Brillouin online at Alibris.

We have new and used copies available, in 0 edition - starting at $ Shop now. Elasticity theory is formulated in terms of a variety of variables including scalar, vector, and tensor fields, and this calls for the use of tensor notation along with tensor algebra and calculus.

Through the use of particular principles from continuum mechanics, the theory is formulated as a system of partial differential field equations that. Read Online Analytical Mechanics And Tensor Analysis to the area and other that of the force on it.

Tensors have their applications to Riemannian Geometry, Mechanics, Elasticity, Theory of Relativity, Tensors & their Applications applications of tensor analysis in continuum mechanics Download applications of tensor analysis.

Tensors in mechanics and elasticity. [Léon Brillouin] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n library. The stress tensor and strain tensor are both second-order tensor fields, and are related in a general linear elastic material by a fourth-order elasticity tensor field.

In detail, the tensor quantifying stress in a 3-dimensional solid object has components that can be conveniently represented as a 3 × 3 array.

Book Description. Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today.

Matrix and tensor calculus: with applications to mechanics, elasticity, and aeronautics Aristotle D. Michal This volume offers a working knowledge of the fundamentals of matrix and tensor calculus that can be applied to a variety of fields, particularly scientific aeronautical engineering.Mechanics of Materials, Basic Concepts of Stress and Strain Since ‘compliant mechanisms’ are used for MEMS devices, there is a significant need to understand the ‘mechanics of materials’.

The study of mechanics of materials describes how solid materials will deform (change shape) and how they will fail (break) when subjected to applied.Continuum Mechanics and Linear Elasticity - An Applied Mathematics Introduction Ciprian D. Coman This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity.