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Mathematical Foundations of Elasticity

2012-10-25 Technology & Engineering
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Release : 2012-10-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 272/5 ( reviews)

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Book Synopsis Mathematical Foundations of Elasticity by : Jerrold E. Marsden

Download or read book Mathematical Foundations of Elasticity written by Jerrold E. Marsden. This book was released on 2012-10-25. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Elasticity

2010-08-04 Technology & Engineering
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Release : 2010-08-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 47X/5 ( reviews)

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Book Synopsis Elasticity by : Martin H. Sadd

Download or read book Elasticity written by Martin H. Sadd. This book was released on 2010-08-04. Available in PDF, EPUB and Kindle. Book excerpt: Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Mathematical Theory of Elastic Structures

2013-04-17 Science
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Release : 2013-04-17
Genre : Science
Kind : eBook
Book Rating : 864/5 ( reviews)

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Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng

Download or read book Mathematical Theory of Elastic Structures written by Kang Feng. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.

Computational Methods in Elasticity and Plasticity

2011-01-04 Technology & Engineering
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Release : 2011-01-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 790/5 ( reviews)

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Book Synopsis Computational Methods in Elasticity and Plasticity by : A. Anandarajah

Download or read book Computational Methods in Elasticity and Plasticity written by A. Anandarajah. This book was released on 2011-01-04. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.

A Treatise on the Mathematical Theory of Elasticity

1927 Elasticity
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Release : 1927
Genre : Elasticity
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis A Treatise on the Mathematical Theory of Elasticity by : Augustus Edward Hough Love

Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love. This book was released on 1927. Available in PDF, EPUB and Kindle. Book excerpt:

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